### Pages

- 10 times table – Explanation & Examples
- 11 times table – Explanation & Examples
- 12 Times Table - Explanation & Examples
- 13 Times Table - Explanation & Examples
- 14 Times Table - Explanation & Examples
- 15 Times Table - Explanation & Examples
- 16 times table - Explanation & Examples
- 16TH CENTURY MATHEMATICS
- 17 Times Table - Explanation & Example
- 17TH CENTURY MATHEMATICS
- 18 Times Table - Explanation & Examples
- 18TH CENTURY MATHEMATICS
- 19 Times Table - Explanation & Examples
- 19TH CENTURY MATHEMATICS
- 2 Times Table - Explanation & Examples
- 20 Times Table - Explanation & Examples
- 20TH CENTURY MATHEMATICS
- 21 Times Table - Explanation & Examples
- 22 Times Table - Explanation & Examples
- 23 Times Table - Explanation & Examples
- 24 Times Table - Explanation & Examples
- 3 4 5 Right Triangles – Explanation & Examples
- 3 Times Table - Explanation & Examples
- 30°-60°-90° Triangle – Explanation & Examples
- 360 Degree Angle
- 3d Coordinate System - Definition, Graphing Techniques, and Examples
- 3d vector - Explanation and Examples
- 4 Times Table - Explanation & Examples
- 45°-45°-90° Triangle – Explanation & Examples
- 5 Times Table - Explanation & Examples
- 6 Times Table - Explanation & Examples
- 7 Times Table - Explanation & Examples
- 8 times table – Explanation & Examples
- 9 times table – Explanation & Examples
- About Us
- Abraham De Moivre: History, Biography, and Accomplishments
- Absolute Convergence - Definition, Condition, and Examples
- Absolute maximum - Definition, Conditions, and Examples
- Absolute minimum - Definition, Conditions, and Examples
- Absolute Value – Properties & Examples
- Absolute Value Inequalities – Explanation & Examples
- Acute Angle
- Adding and Subtracting Decimals – Explanation & Examples
- Adding and Subtracting Expressions – Methods & Examples
- Adding and Subtracting in Scientific Notation – Methods & Examples
- Adding and Subtracting Integers – Methods & Examples
- Adding and Subtracting Polynomials – Explanation & Examples
- Adding and Subtracting Rational Expressions – Techniques & Examples
- Adding complex numbers - Techniques, Explanation, and Examples
- Adding Exponents – Techniques & Examples
- Adding Fractions – Methods & Examples
- Adding Mixed Numbers – Methods & Examples
- Addition – Explanation & Examples
- Addition Property of Equality - Definition and Examples
- Al-Khwarizmi - The Father of Algebra
- Alan Turing: Cracking the 'Enigma' Code
- Algebra
- Algebraic Expression – Explanation & Examples
- All About Yang Hui - A Nobel Chinese Mathematician
- Alternate Exterior Angles – Explanation & Examples
- Alternate Interior Angles – Explanation & Examples
- Alternate Segment Theorem – Explanation & Examples
- Alternating series - Definition, Convergence, and Sum
- Alternating series test - Definition, Conditions, and Examples
- Andre Weil: Founding Member of the Mathematical Bourbaki Group
- Angle between the two Vectors - Explanation and Examples
- Angle of Depression – Detailed Explanation and Examples
- Angle of Elevation — Detailed Explanation and Examples
- Angles – Explanation & Examples
- Angles in a Circle – Explanation & Examples
- Angles in Polygons – Explanation & Examples
- Angles of a Triangle – Explanation & Examples
- Anova Test - Explanation & Examples
- Antiderivative - Definition, Techniques, and Examples
- Applications of Trigonometry - Explanation & Examples
- Approximating Integrals - Midpoint, Trapezoidal, and Simpson's Rule
- Arc of a Circle – Explanation & Examples
- ARCHIMEDES OF SYRACUSE - Eureka & The Principle
- Area Between Two Curves - Definition, Process, and Examples
- Area of a Parallelogram – Explanation & Examples
- Area of an Ellipse – Explanation & Examples
- Area of Circle – Explanation & Examples
- Area of Polygons – Explanation & Examples
- Area of Rectangles – Explanation & Examples
- Area of Rhombus – Explanation & Examples
- Area of Sector – Explanation & Examples
- Area of Squares – Explanation & Examples
- Area of the Shaded Region – Explanation & Examples
- Area of Trapezoid – Explanation & Examples
- Area of Triangle – Explanation & Examples
- Area Under the Curve - Definition, Types, and Examples
- Arithmetic
- Arithmetic Mean
- Arithmetic Operations on Functions – Explanation & Examples
- Arithmetic sequence - Pattern, Formula, and Explanation
- Arithmetic Series - Definition, Formula, and Examples
- Associative Property – Explanation with Examples
- Asymptote - Three Different Types, Properties, and Examples
- Bar graph – Explanation & Examples
- Basic Algebra – Explanation & Examples
- Bayes Theorem - Explanation & Examples
- Bernhard Riemann - The Notorius German Mathematician
- Bernoulli Brothers -The Math Family
- Bernoulli Distribution - Explanation & Examples
- Bertrand Russell & Alfred North Whitehead - Principia Mathematica 1+1=2
- Bhaskara II - History, Biography, and Accomplishments
- Binomial Series - Definition, General Form, and Examples
- Binomial Theorem – Explanation & Examples
- Blaise Pascal Math
- Blog
- BOLYAI AND LOBACHEVSKY & HYPERBOLIC GEOMETRY
- Box and whisker plot
- Brahmagupta: Mathematician and Astronomer
- Calculus
- Car Depreciation Calculator + Online Solver With Free Steps
- Carl Friedrich Gauss: The Prince of Mathematics
- Carroll diagram
- Categorical Data – Explanation and Examples
- Center of Mass - Definition, Formula, and Examples
- Central Limit Theorem - Explanation & Examples
- Chain rule - Step-by-Step Process, Explanation, and Example
- Change of base - Formula, Explanation, and Example
- Change of Variables in Multiple Integrals - Technique, Steps, and Examples
- Characteristic Equations - Definition, General Form, and Examples
- Chebyshev's Theorem - Explanation & Examples
- Chi square - Explanation & Examples
- Chinese Mathematics
- Chords of a Circle – Explanation & Examples
- Circles – Explanation & Examples
- Circumference of a Circle – Explanation & Examples
- Class width
- Cofunction identities
- Coin flip probability – Explanation & Examples
- Coinciding lines - Explanation and Examples
- Column vector - Explanation & Examples
- Combinations - Explanation & Examples
- Combine Like Terms – Methods & Examples
- Common and Natural Logarithms – Explanation & Examples
- Common difference - Formula, Explanation, and Examples
- Commutative Property
- Compare & Order Numbers – Techniques & Examples
- Comparing Fractions – According to the Denominators
- Complement of a set - Definition and Examples
- Complementary Events
- Completing the Square – Explanation & Examples
- Complex Fractions – Explanation & Examples
- Complex Numbers - Properties, Graph, and Examples
- Complex rational expressions - Definition, Methods, and Examples
- Complimentary Angles – Explanation & Examples
- Composite Functions – Explanation & Examples
- Compound Inequalities – Explanation & Examples
- Compound Interest – Explanation & Examples
- Concavity calculus - Concave Up, Concave Down, and Points of Inflection
- Condensing logarithms - Properties, Explanation, and Examples
- Conditional Convergence - Definition, Condition, and Examples
- Conditional probability - Explanation & Examples
- Conditional Statement
- Congruent Triangles – Explanation & Examples
- Conic Sections - Types, Properties, and Examples
- Conjugate math - Explanation and Examples
- Constant of Proportionality – Explanation & Examples
- Construct A 60 Degree Angle - Explanation & Examples
- Construct a Line Segment – Explanation & Examples
- Construct a Parallelogram
- Construct a Perpendicular Line
- Construct a Rectangle
- Construct a Square
- Construct a Triangle - Explanation & Examples
- Construct an Angle Bisector - Explanation & Examples
- Construct Parallel Lines - Explanation & Examples
- Constructing Perpendicular Bisector – Explanation & Examples
- Construction of A 30 Degree Angle - Explanation & Examples
- Construction of a 45 Degree Angle - Explanation & Examples
- Contact
- Continuous function - Conditions, Discontinuities, and Examples
- Convergent series - Definition, Tests, and Examples
- Converse Statement – Definition and Examples
- Convert Decimals to Fractions – Explanation & Examples
- Converting Fractions to Different Decimal Forms
- Converting to Scientific Notation – Technique & Examples
- Cookie Policy
- Coordinate Geometry – Explanation & Examples
- Coordinate Plane – Explanation & Examples
- Coplanar Lines - Explanations & Examples
- Correlation Coefficient – Explanation and Examples
- Corresponding Angles – Explanation & Examples
- Cos Graph - Detailed Examples and Explanation
- Cosine – Explanation & Examples
- Coterminal Angles – Detailed Explanation & Examples
- Counterexample – Explanation and Examples
- Cramer's rule - Explanation & Examples
- Critical numbers - Definition, Process, and Examples
- Cross Multiplication – Techniques & Examples
- Cross product - Explanation & Examples
- Cumulative Frequency – Explanation & Examples
- Curl Vector Field - Definition, Formula, and Examples
- Curve sketching - Properties, Steps, and Examples
- Cylindrical Coordinates - Definition, Graph, and Examples
- David Hilbert - The Foundations of Geometry
- De Moivre's theorem - Formulas, Explanation, and Examples
- Decimal Place Value – Explanation & Examples
- Degree and Radians – Explanation & Examples
- Demorgan's law - Explanation and Examples
- Dependent events - Explanation & Examples
- Derivative calculus - Definition, Formula, and Examples
- Derivative of arctan - Derivation, Explanation, and Example
- Derivative of cotx - Derivation, Explanation, and Example
- Derivative of csc - Derivation, Explanation, and Example
- Derivative of ln - Derivation, Explanation, and Example
- Derivative of secx - Derivation, Explanation, and Example
- Derivative rules - Common Rules, Explanations, and Examples
- Derivative test - Types, Explanation, and Examples
- Derivatives of Vectors - Definition, Properties, and Examples
- Describing Sets – Explanation & Examples
- Determinant of a 2x2 matrix
- Determinant of a 3x3 matrix - Explanation & Examples
- Determinant of a matrix - Explanation & Examples
- Diagonal matrix - Explanation & Examples
- Dice probability - Explanation & Examples
- Difference of Squares – Explanation & Examples
- Difference Quotient - Definition, Formula, and Examples
- Difference rule - Derivation, Explanation, and Example
- Differential Equations - Definition, Types, and Solutions
- Dilation in Geometry - Explanation and Examples
- Dimension of a matrix - Explanation & Examples
- Diophantus of Alexandria
- Dirac Delta Function - Definition, Form, and Applications
- Direction of a vector - Explanation and Examples
- Directional Derivative - Definition, Properties, and Examples
- Directly Proportional – Explanation & Examples
- Discrete Data – Explanation and Examples
- Disjoint sets - Explanation and Examples
- Disk Method - Definition, Formula, and Volume of Solids
- Distance between polar coordinates - Derivation, Process, and Examples
- Distance Formula – Explanation & Examples
- Distributive Property – Definition & Examples
- Distributive Property of Equality – Explanation and Examples
- Divergence of a Vector Field - Definition, Formula, and Examples
- Divergent series math- Definition, Divergence Test, and Examples
- Dividing complex numbers - Techniques, Explanation, and Examples
- Dividing Decimals – Explanation & Examples
- Dividing Expressions – Methods & Examples
- Dividing Fractions – Methods & Examples
- Dividing Mixed Numbers – Methods & Examples
- Dividing Numbers in Scientific Notation – Technique & Examples
- Dividing Polynomials – Explanation & Examples
- Dividing Rational Expressions – Techniques & Examples
- Division – Explanation & Examples
- Division Property of Equality – Explanation and Examples
- Domain and Range of a Function – Explanation & Examples
- Dot Plot – Definition and Examples
- Double Angle Formula: Examples and Explanation
- Double Integrals - Definition, Formula, and Examples
- Double Integrals in Polar Coordinates - Definition, Formula, and Examples
- Egyptian Mathematics - Numbers & Numerals
- Empty Set – Explanation & Examples
- Equal Vectors – Explanation & Examples
- Equation of a Line – Explanation & Examples
- Equation of a Plane - Definition, General Forms, and Examples
- Equivalent Fractions – Explanation & Examples
- Equivalent matrices - Explanation & Examples
- EUCLID OF ALEXANDRIA - The Father of Geometry
- Evaluating limits - Methods, Explanation, and Examples
- Evaluating Trig Functions: Explanation and Examples
- Evariste Galois
- Even and Odd Functions - Properties & Examples
- Even Odd Identities: Examples and Explanation
- Exact Equations - General Form, Solutions, and Examples
- Expanded Notation – The Way to Expand Numbers
- Expanding Expressions – Techniques & Examples
- Expanding logarithms - Properties, Examples, and Explanation
- Experimental Probability - Explanation & Examples
- Exponential derivative - Derivation, Explanation, and Example
- Exponential function - Properties, Graphs, & Applications
- Exterior Angle Theorem – Explanation & Examples
- Factor by Grouping – Methods & Examples
- Factor Theorem – Method & Examples
- Factorial - Explanation & Examples
- Factoring Quadratic Equations – Methods & Examples
- Factoring Trigonometric Expressions: Examples and Explanation
- Factoring Trinomial – Method & Examples
- Factoring Trinomials by Trial and Error – Method & Examples
- Factoring Trinomials with Two Variables – Method & Examples
- Factors - All Factors of a Number
- Factors of 252: Prime Factorization, Methods, Tree, and Examples
- Factors of 288: Prime Factorization, Methods, and Example
- Factors of 32: Prime Factorization, Methods, and Examples
- Factors of 362: Prime Factorization, Methods, and Example
- Factors of 576: Prime Factorization, Methods, Tree, and Examples
- Factors of 72: Prime Factorization, Methods, Tree and Examples
- Factors of 720: Prime Factorization, Methods, and Example
- Factors of 770: Prime Factorization, Methods, and Example
- Factors of 850: Prime Factorization, Methods, and Example
- Factors of 91: Prime Factorization, Methods, Tree, and Examples

- Factors & Multiples – Differences & Examples
- Fibonacci Leonardo (of Pisa) - Italian Number Theorist
- Finding Common Factors – Explanation & Examples
- Finite Sets – Explanation & Examples
- First Order Linear Differential Equation - Form, Solution, and Examples
- Flight Time Calculator + Online Solver With Free Steps
- Foil Method – Explanation & Examples
- Forms of Linear Equations – Explanation & Examples
- Fractional Exponents – Explanation & Examples
- Fractions – Definition & Types
- Fractions to Decimals – Conversion Methods and Examples
- What Is 1 1/4 as a Decimal + Solution With Free Steps
- What Is 1 3/5 as a Decimal + Solution With Free Steps
- What Is 1 3/8 as a Decimal + Solution With Free Steps
- What Is 1/11 as a Decimal + Solution With Free Steps
- What Is 1/16 as a Decimal + Solution With Free Steps
- What Is 1/2 as a Decimal + Solution With Free Step
- What Is 1/20 as a Decimal + Solution With Free Steps
- What Is 1/40 as a Decimal + Solution With Free Steps
- What Is 1/48 as a Decimal + Solution With Free Steps
- What Is 1/8 as a Decimal + Solution With Free Steps
- What Is 11/40 as a Decimal + Solution With Free Steps
- What Is 17/20 as a Decimal + Solution With Free Steps
- What Is 17/8 as a Decimal + Solution With Free Steps
- What Is 2 3/8 as a Decimal + Solution With Free Steps
- What Is 2 5/8 as a Decimal + Solution With Free Steps
- What Is 2/10 as a Decimal + Solution With Free Steps
- What Is 2/9 as a Decimal + Solution With Free Steps
- What Is 3 1/2 as a Decimal + Solution With Free Steps
- What Is 3 1/5 as a Decimal + Solution With Free Steps
- What Is 3/40 as a Decimal + Solution With Free Steps
- What Is 3/5 as a Decimal + Solution With Free Steps
- What Is 3/50 as a Decimal + Solution With Free Steps
- What Is 3/7 as a Decimal + Solution With Free Steps
- What Is 3/8 as a Decimal + Solution With Free Steps
- What Is 4 1/8 as a Decimal + Solution With Free Steps
- What Is 4/10 as a Decimal + Solution With Free Steps
- What Is 4/11 as a Decimal + Solution With Free Steps
- What Is 4/3 as a Decimal + Solution With Free Steps
- What Is 4/7 as a Decimal + Solution With Free Steps
- What Is 47/99 as a Decimal + Solution With Free Steps
- What Is 5 1/3 as a Decimal + Solution With Free Steps
- What Is 5 3/4 as a Decimal + Solution With Free Steps
- What Is 6/21 as a Decimal + Solution With Free Steps
- What Is 7/11 as a Decimal + Solution With Free Steps
- What Is 7/15 as a Decimal + Solution With Free Steps
- What Is 7/40 as a Decimal + Solution With Free Steps
- What Is 7/5 as a Decimal + Solution With Free Steps
- What Is 8/15 as a Decimal + Solution With Free Steps
- What Is 8/5 as a Decimal + Solution With Free Steps
- What Is 9/11 as a Decimal + Solution With Free Steps
- What Is 9/2 as a Decimal + Solution With Free Steps
- What Is 9/75 as a Decimal + Solution With Free Steps
- What is a 2 1/8 as a Decimal + Solution With Free Steps
- What is a 3 3/8 as a Decimal + Solution With Free Steps

- Frequency Distribution – Definition and Examples
- Frequency statistic – Explanation & Examples
- Frequency table
- Function Notation – Explanation & Examples
- Fundamental counting principle - Explanation & Examples
- Fundamental Theorem for Line Integrals - Theorem and Examples
- Fundamental Theorem of Calculus - Parts, Application, and Examples
- G. H. Hardy: Ramanujan's Mentor
- Gauss jordan elimination - Explanation & Examples
- Geometric Construction - Explanation & Examples
- Geometric Nets – Explanation & Examples
- Geometric probability - Explanation and Examples
- Geometric sequence - Pattern, Formula, and Explanation
- Geometric Series - Definition, Formula, and Examples
- Geometry
- Georg Cantor - The Man Who Founded Set Theory
- George Boole: Inventor of Boolean Logic
- George Peacock - History, biography and accomplishments
- Girard Desargues’s Phenomenal Contributions To Geometry
- Glossary of Mathematical Terms & Definition
- Abscissa | Definition & Meaning
- Accuracy | Definition & Meaning
- Acute Angle | Definition & Meaning
- Add | Definition & Meaning
- Addend | Definition & Meaning
- Addition | Definition & Meaning
- Additive Identity | Definition & Meaning
- Additive Inverse | Definition & Meaning
- Adjacent | Definition & Meaning
- Adjacent Angles | Definition & Meaning
- Adjacent Side (Triangle) | Definition & Meaning
- Adjacent Sides | Definition & Meaning
- Algebra | Definition & Meaning
- Algorithm | Definition & Meaning
- Alternate Interior Angles
- Altitude Geometry | Definition & Meaning
- Amplitude | Definition & Meaning
- Analog | Definition & Meaning
- AND | Definition & Meaning
- Angle Bisector | Definition & Meaning
- Angle of Elevation | Definition & Meaning
- Annual Percentage Rate APR | Definition & Meaning
- Apex | Definition & Meaning
- Apothem | Definition & Meaning
- Approximation | Definition & Meaning
- Arc | Definition & Meaning
- Area | Definition & Meaning
- Arithmetic Sequence | Definition & Meaning
- Arm of an Angle | Definition & Meaning
- Array | Definition & Meaning
- Ascending Order | Definition & Meaning
- Associative Law | Definition & Meaning
- Attribute | Definition & Meaning
- Average | Definition & Meaning
- Axes | Definition & Meaning
- Axiom | Definition & Meaning
- Axis (Graph) | Definition & Meaning
- Balance Scales | Definition & Meaning
- Base (Geometry) | Definition & Meaning
- Base Numbers | Definition & Meaning
- Bearing | Definition & Meaning
- Benchmark Angles | Definition & Meaning
- Bias | Definition & Meaning
- Binomial | Definition & Meaning
- Bisect | Definition & Meaning
- Bisector | Definition & Meaning
- Bivariate Data | Definition & Meaning
- Boundary | Definition & Meaning
- Bounds | Definition & Meaning
- Box and Whisker Plot | Definition & Meaning
- Brackets | Definition & Meaning
- Byte | Definition & Meaning
- Cancel | Definition & Meaning
- Capacity | Definition & Meaning
- Cartesian Coordinates | Definition & Meaning
- Categorical Data | Definition & Meaning
- Census | Definition & Meaning
- Center | Definition & Meaning
- Certain | Definition & Meaning
- Chord | Definition & Meaning
- Circle | Definition & Meaning
- Circumcenter | Definition & Meaning
- Circumference | Definition & Meaning
- Circumradius | Definition & Meaning
- Class Interval | Definition & Meaning
- Classify | Definition & Meaning
- Clockwise | Definition & Meaning
- Closed Intervals | Definition & Meaning
- Cluster | Definition & Meaning
- Coincident | Definition & Meaning
- Collinear | Definition & Meaning
- Column | Definition & Meaning
- Column Addition | Definition & Meaning
- Column Graph | Definition & Meaning
- Combination | Definition & Meaning
- Commission | Definition & Meaning
- Common Difference | Definition & Meaning
- Common Factor | Definition & Meaning
- Common Fraction | Definition & Meaning
- Common Multiple | Definition & Meaning
- Common Ratio | Definition & Meaning
- Compass (Drawing) | Definition & Meaning
- Compass Point
- Complement (Set) | Definition & Meaning
- Complement Probability | Definition & Meaning
- Complementary Angle | Definition & Meaning
- Complex Number | Definition & Meaning
- Component Vector | Definition & Meaning
- Compounding | Definition & Meaning
- Computation | Definition & Meaning
- Concave | Definition & Meaning
- Concentric Circle | Definition & Meaning
- Conclusion | Definition & Meaning
- Cone | Definition & Meaning
- Consecutive Numbers | Definition & Meaning
- Constant | Definition & Meaning
- Continuous Data | Definition & Meaning
- Converse (Logic) | Definition & Meaning
- Convert | Definition & Meaning
- Convex | Definition & Meaning
- Coordinates | Definition & Meaning
- Coplanar | Definition & Meaning
- Correlation | Definition & Meaning
- Cosh | Definition & Meaning
- Cosine | Definition & Meaning
- Cosine Rule | Definition & Meaning
- Counting Number | Definition & Meaning
- Covariance | Definition & Meaning
- Crore | Definition & Meaning
- Cross Section | Definition & Meaning
- Csch | Definition & Meaning
- Cube | Definition & Meaning
- Cube Number | Definition & Meaning
- Cube Root | Definition & Meaning
- Cubic Centimeter | Definition & Meaning
- Cubic Meter | Definition & Meaning
- Cylinder | Definition & Meaning
- Data | Definition & Meaning
- Data Analysis | Definition & Meaning
- Debit | Definition & Meaning
- Decimal Fraction | Definition & Meaning
- Decimal Point | Definition & Meaning
- Decompose | Definition & Meaning
- Decrease | Definition & Meaning
- Degree (Accuracy) | Definition & Meaning
- Degree (Angles) | Definition & Meaning
- Degree Algebra | Definition & Meaning
- Degree Temperature | Definition & Meaning
- Denominator | Definition & Meaning
- Density | Definition & Meaning
- Deposit | Definition & Meaning
- Determinant | Definition & Meaning
- Deviation | Definition & Meaning
- Diagonal | Definition & Meaning
- Diagram | Definition & Meaning
- Difference | Definition & Meaning
- Digit | Definition & Meaning
- Dimension | Definition & Meaning
- Directed Number | Definition & Meaning
- Discount | Definition & Meaning
- Discrete Data | Definition & Meaning
- Displacement (Distance) | Definition & Meaning
- Distributive Law | Definition & Meaning
- Diverge | Definition & Meaning
- Dividend | Definition & Meaning
- Divisible | Definition & Meaning
- Division | Definition & Meaning
- Domain of a Function | Definition & Meaning
- Dot Plot | Definition & Meaning
- Double | Definition & Meaning
- Dozen | Definition & Meaning
- Duodecimal | Definition & Meaning
- e Euler's Number | Definition & Meaning
- Element | Definition & Meaning
- Elimination | Definition & Meaning
- Ellipse | Definition & Meaning
- End Point | Definition & Meaning
- Equal | Definition & Meaning
- Equality | Definition & Meaning
- Equation | Definition & Meaning
- Equiangular Triangle | Definition & Meaning
- Equidistant | Definition & Meaning
- Equilateral | Definition & Meaning
- Estimate | Definition & Meaning
- Evaluate | Definition & Meaning
- Even Number | Definition & Meaning
- Event | Definition & Meaning
- Experiment | Definition & Meaning
- Exponenetial Function | Definition & Meaning
- Exponent | Definition & Meaning
- Expression | Definition & Meaning
- Exterior Angle | Definition & Meaning
- Extraneous Root | Definition & Meaning
- Extrapolation | Definition & Meaning
- Extrema | Definition & Meaning
- Face | Definition & Meaning
- Factor | Definition & Meaning
- Factor Tree | Definition & Meaning
- Factorising | Definition & Meaning
- Fahrenheit | Definition & Meaning
- Finite Number | Definition & Meaning
- Flat | Definition & Meaning
- Flip | Definition & Meaning
- Foil Method | Definition & Meaning
- Foot | Definition & Meaning
- Formula | Definition & Meaning
- Frequency | Definition & Meaning
- Frequency Histogram | Definition & Meaning
- Function | Definition & Meaning
- Geometry | Definition & Meaning
- Graph | Definition & Meaning
- Greater Than | Definition & Meaning
- Greatest Common Factor | Definition & Meaning
- Gross | Definition & Meaning
- Gross Number | Definition & Meaning
- Half | Definition & Meaning
- Halve | Definition & Meaning
- Hect | Definition & Meaning
- Height | Definition & Meaning
- Histogram | Definition & Meaning
- Horizontal Flip | Definition & Meaning
- Hour | Definition & Meaning
- Hour Hand | Definition & Meaning
- Hypothesis | Definition & Meaning
- Identity | Definition & Meaning
- Image | Definition & Meaning
- Imaginary Number | Definition & Meaning
- Imperial System | Definition & Meaning
- Improper Fraction | Definition & Meaning
- Included Angle | Definition & Meaning
- Included Side | Definition & Meaning
- Increase | Definition & Meaning
- Increment | Definition & Meaning
- Independent Event | Definition & Meaning
- Indeterminate | Definition & Meaning
- Index | Definition & Meaning
- Infinite | Definition & Meaning
- Inscribed Angle | Definition & Meaning
- Interest | Definition & Meaning
- Interior Angle | Definition & Meaning
- Interpolation | Definition & Meaning
- Intersect | Definition & Meaning
- Intersection (Sets) | Definition & Meaning
- Intersection | Definition & Meaning
- Invariant | Definition & Meaning
- Inverse | Definition & Meaning
- Inverse Property of Addition | Definition & Meaning
- Inverse Property of Multiplication | Definition & Meaning
- Irrational Number | Definition & Meaning
- Irregular Polygon | Definition & Meaning
- Isometric | Definition & Meaning
- Iteration | Definition & Meaning
- Joule | Definition & Meaning
- Kilo | Definition & Meaning
- Kilogram | Definition & Meaning
- Kilolitre Kiloliter | Definition & Meaning
- Kite | Definition & Meaning
- Lateral | Definition & Meaning
- Least Common Denominator | Definition & Meaning
- LHS | Definition & Meaning
- Like Terms | Definition & Meaning
- Line | Definition & Meaning
- Line Segment | Definition & Meaning
- Line Symmetry | Definition & Meaning
- Linear Equation | Definition & Meaning
- Logarithmic Scale | Definition & Meaning
- Magnitude | Definition & Meaning
- Major Arc | Definition & Meaning
- Major Axis | Definition & Meaning
- Mantissa | Definition & Meaning
- Markup | Definition & Meaning
- Matrix | Definition & Meaning
- Maximum | Definition & Meaning
- Mean | Definition & Meaning
- Measurement | Definition & Meaning
- Median of Triangle | Definition & Meaning
- Mega | Definition & Meaning
- Metre Meter | Definition & Meaning
- Micro | Definition & Meaning
- Minimum | Definition & Meaning
- Minuend | Definition & Meaning
- Minus | Definition & Meaning
- Minute Angle | Definition & Meaning
- Minute Hand | Definition & Meaning
- Mirror Image | Definition & Meaning
- Mode | Definition & Meaning
- Model | Definition & Meaning
- Monic Polynomial | Definition & Meaning
- Multiple | Definition & Meaning
- Multiplicand | Definition & Meaning
- Multiplication Tables | Definition & Meaning
- Multiplicative Identity | Definition & Meaning
- Multiplier | Definition & Meaning
- Multiply | Definition & Meaning
- Nano | Definition & Meaning
- Natural Logarithm | Definition & Meaning
- Natural Number | Definition & Meaning
- Negative | Definition & Meaning
- Net | Definition & Meaning
- Nominal Number | Definition & Meaning
- Nonlinear Equation | Definition & Meaning
- Normal | Definition & Meaning
- Normal Distribution | Definition & Meaning
- Not Equal | Definition & Meaning
- Notation | Definition & Meaning
- Number Line | Definition & Meaning
- Numerator | Definition & Meaning
- Oblique | Definition & Meaning
- Oblique Cone | Definition & Meaning
- Oblique Cylinder | Definition & Meaning
- Oblique Prism | Definition & Meaning
- Oblique Pyramid | Definition & Meaning
- Obtuse Angle | Definition & Meaning
- Odds | Definition & Meaning
- Open Interval | Definition & Meaning
- Open Sentence | Definition & Meaning
- Operation | Definition & Meaning
- Operator | Definition & Meaning
- Opposite Numbers | Definition & Meaning
- Opposite Side | Definition & Meaning
- Order of Operations | Definition & Meaning
- Ordinal Number | Definition & Meaning
- Origin | Definition & Meaning
- Outcome | Definition & Meaning
- Outlier | Definition & Meaning
- Palindromic Numbers | Definition & Meaning
- Parabola | Definition & Meaning
- Parallel | Definition & Meaning
- Parallel Lines
- Parallelogram | Definition & Meaning
- Parentheses | Definition & Meaning
- Parity | Definition & Meaning
- Pascal’s Triangle | Definition & Meaning
- Pentagonal Numbers | Definition & Meaning
- Pentomino | Definition & Meaning
- Percent | Definition & Meaning
- Percentile Rank | Definition & Meaning
- Perfect Square | Definition & Meaning
- Perimeter | Definition & Meaning
- Permutation | Definition & Meaning
- Perpendicular Planes
- Peta
- Pi
- Pint | Definition & Meaning
- Plan | Definition & Meaning
- Plane Shape | Definition & Meaning
- Plot
- Point | Definition & Meaning
- Point Symmetry | Definition & Meaning
- Population | Definition & Meaning
- Position | Definition & Meaning
- Pound | Definition & Meaning
- Power | Definition & Meaning
- Power Set | Definition & Meaning
- Precision | Definition & Meaning
- Prime Factor | Definition & Meaning
- Primitive Function | Definition & Meaning
- Prism | Definition & Meaning
- Problem | Definition & Meaning
- Profit | Definition & Meaning
- Proof | Definition & Meaning
- Proper Factor | Definition & Meaning
- Proper Fraction | Definition & Meaning
- Property | Definition & Meaning
- Protractor | Definition & Meaning
- Quadrangle | Definition & Meaning
- Quadrant (Circle) | Definition & Meaning
- Quadratic | Definition & Meaning
- Quadratic Equation | Definition & Meaning
- Quadrillion | Definition & Meaning
- Qualitative Data | Definition & Meaning
- Quantitative Data | Definition & Meaning
- Quantity | Definition & Meaning
- Quarter | Definition & Meaning
- Quintillion | Definition & Meaning
- Quotient | Definition & Meaning
- Radian | Definition & Meaning
- Radical | Definition & Meaning
- Radicand | Definition & Meaning
- Random Sample | Definition & Meaning
- Range of a Function | Definition & Meaning
- Rational Expression | Definition & Meaning
- Rational Numbers | Definition & Meaning
- Ray | Definition & Meaning
- Real Number | Definition & Meaning
- Rectangle | Definition & Meaning
- Rectangular Prism | Definition & Meaning
- Recurring Decimal | Definition & Meaning
- Reduce | Definition & Meaning
- Reflection Symmetry | Definition & Meaning
- Regular | Definition & Meaning
- Regular Polygon | Definition & Meaning
- Regular Polyhedron | Definition & Meaning
- Relatively Prime | Definition & Meaning
- Result | Definition & Meaning
- Retail Price | Definition & Meaning
- Revolution | Definition & Meaning
- Rhombus | Definition & Meaning
- RHS | Definition & Meaning
- Rise | Definition & Meaning
- Root | Definition & Meaning
- Rotational Symmetry | Definition & Meaning
- Row | Definition & Meaning
- Run | Definition & Meaning
- Sale Price | Definition & Meaning
- Sales Tax | Definition & Meaning
- Sample | Definition & Meaning
- Sample Point | Definition & Meaning
- Scale | Definition & Meaning
- Scalene Triangle | Definition & Meaning
- Scientific Notation | Definition & Meaning
- Sector | Definition & Meaning
- Segment | Definition & Meaning
- Semi | Definition & Meaning
- Semicircle | Definition & Meaning
- Semiprime | Definition & Meaning
- Senary | Definition & Meaning
- Septagon | Definition & Meaning
- Sequence | Definition & Meaning
- SI Units | Definition & Meaning
- Side | Definition & Meaning
- Signed Number | Definition & Meaning
- Significant Digits | Definition & Meaning
- Similar | Definition & Meaning
- Simple Interest | Definition & Meaning
- Simplest Form (Fractions) | Definition & Meaning
- Simplest Form Algebra | Definition & Meaning
- Simultaneous Equations | Definition & Meaning
- Sinh | Definition & Meaning
- Sinusoid | Definition & Meaning
- Skewed Data | Definition & Meaning
- Skip Counting | Definition & Meaning
- Slide | Definition & Meaning
- Slope | Definition & Meaning
- Solid | Definition & Meaning
- Solution | Definition & Meaning
- Solve | Definition & Meaning
- Speed | Definition & Meaning
- Sphere | Definition &Meaning
- Square | Definition & Meaning
- Square Centimeter | Definition & Meaning
- Square Kilometer | Definition & Meaning
- Square Measure | Definition & Meaning
- Square Meter | Definition & Meaning
- Square Number | Definition & Meaning
- Standard Deviation | Definition & Meaning
- Standard Form | Definition & Meaning
- Subscript | Definition & Meaning
- Substitution | Definition & Meaning
- Subtended Angle | Definition & Meaning
- Subtraction | Definition & Meaning
- Subtrahend | Definition & Meaning
- Successive | Definition & Meaning
- Sum | Definition & Meaning
- Superscript | Definition & Meaning
- Surd | Definition & Meaning
- Surface | Definition & Meaning
- Survey | Definition & Meaning
- Symmetry | Definition & Meaning
- Table | Definition & Meaning
- Tangent Line | Definition & Meaning
- Tangram | Definition & Meaning
- Tax | Definition & Meaning
- Term | Definition & Meaning
- Terminating Decimal | Definition & Meaning
- Tessellation | Definition & Meaning
- Theorem | Definition & Meaning
- Thrice | Definition & Meaning
- Time | Definition & Meaning
- Time Table | Definition & Meaning
- Times | Definition & Meaning
- Times Tables | Definition & Meaning
- Total | Definition & Meaning
- Transformation | Definition & Meaning
- Transpose (Matrix) | Definition & Meaning
- Transversal | Definition & Meaning
- Trapezium | Definition & Meaning
- Tree | Definition & Meaning
- Trend Line | Definition & Meaning
- Twice | Definition & Meaning
- Unary Operation | Definition & Meaning
- Undecagon | Definition & Meaning
- Unit of Measurement | Definition & Meaning
- Units | Definition & Meaning
- Univariate Data | Definition & Meaning
- Upper Bound | Definition & Meaning
- US Standard Units | Definition & Meaning
- Value | Definition & Meaning
- Variable | Definition & Meaning
- Variance | Definition & Meaning
- Velocity | Definition & Meaning
- Vertex (Parabola) | Definition & Meaning
- Vertical | Definition & Meaning
- Vertical Flip | Definition & Meaning
- Vertices | Definition & Meaning
- Vinculum | Definition & Meaning
- Weight | Definition & Meaning
- Whole | Definition & Meaning
- Whole Number | Definition & Meaning
- Width | Definition & Meaning
- X Axis | Definition & Meaning
- X Coordinate | Definition & Meaning
- Y Axis | Definition & Meaning
- Y Coordinate | Definition & Meaning
- Yard | Definition & Meaning
- Zero | Definition & Meaning

- Golden Ratio – Explanation and Examples
- Gottfried Wilhelm Leibniz - The True Father of Calculus?
- Graphing Cubic Functions – Explanation & Examples
- Graphing Exponential Functions – Explanation & Examples
- Graphing Linear Equations – Explanation & Examples
- Graphing Linear Inequalities – Explanation & Examples
- Graphing Quadratic Functions - Explanation & Examples
- Graphing Reciprocal Functions – Explanation & Examples
- Graphing Trig Functions - Examples and Explanation
- Graphs of Logarithmic Function – Explanation & Examples
- Greater than – Explanation & Examples
- Greatest Common Factor - Explanation and Practical Examples
- Greatest Integer Function - Explanation & Examples
- Greek Mathematics & Mathematicians - Numerals and Numbers
- Green's theorem - Theorem, Applications, and Examples
- Half Angle Formula: Examples and Explanation
- Harmonic series - Properties, Formula, and Divergence
- HELLENISTIC MATHEMATICS
- Henri Poincare and The Chaos Theory
- Hippocrates of Chios – History, biography and accomplishments
- Histogram
- Home
- Homogeneous Differential Equation - Definition, Solutions, and Examples
- Horizontal asymptote - Properties, Graphs, and Examples
- Horizontal Compression - Properties, Graph, & Examples
- Horizontal Stretch - Properties, Graph, & Examples
- Hurt Gödel: The Eccentric Genius
- Hyperbola - Properties, Components, and Graph
- Hyperbolic functions - Graphs, Properties, and Examples
- Hypotenuse Leg Theorem – Explanation & Examples
- Identity matrix - Explanation & Examples
- Identity Property – Explanation with Examples
- Implicit differentiation - Definition, Process, and Examples
- Improper Integrals - Definition, Types, and Examples
- Independent events - Explanation & Examples
- index
- INDIAN MATHEMATICS & MATHEMATICIANS
- Infinite series - Properties, Partial Sum, and Conditions
- Infinite Sets – Explanation & Examples
- Integers – Explanation & Examples
- Integral Calculus - Definition,Techniques, and Application
- Integral Properties - Definition, Process, and Proof
- Integral Test - Definition, Conditions, and Examples
- Integrals of Inverse Trig Functions - Definition, Formulas, and Examples
- Integrating Exponential Functions - Formulas, Process, and Examples
- Integrating Factor - Definition, Method, and Examples
- Integration by Parts - Definition, Derivation, and Examples
- Integration of Hyperbolic Functions - Definition, Formulas, and Examples
- Intercepted Arc – Explanation & Examples
- Interquartile Range – Explanation and Examples
- Intersecting lines - Explanations & Examples
- Intersection of Line and Plane - Definition, Explanation, and Examples
- Intersection of sets - Definition and Examples
- Introduction to Logarithms – Explanation & Examples
- Inverse Laplace Transform - Definition, Formulas, and Examples
- Inverse matrix - Explanation & Examples
- Inverse of 2x2 matrix - Explanation & Examples
- Inverse of a 3x3 matrix - Explanation & Examples
- Inverse of a Function – Explanation & Examples
- Inverse trig derivatives - Derivation, Explanation, and Examples
- Inverse Trig Graphs: Examples and Explanation
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- Inversely Proportional – Explanation & Examples
- Isaac Newton: Math & Calculus
- ISLAMIC MATHEMATICS
- Isolate the Variable (Transposition) – Techniques & Examples
- Iterated Integral - Definition, Formula, and Examples
- Julia Robinson and Yuri Matiyasevich: Computability Theory & Computational Complexity Theory
- L'Hôpital's rule - Conditions, Formula, and Examples
- Lagrange Multipliers - Definition, Optimization Problems, and Examples
- Laplace Transform - Definition, Formula, and Applications
- Law of Cosines - Explanation & Examples
- Law of Detachment – Explanation and Examples
- Law of Sines: Detailed Explanation and Examples
- Law of Syllogism
- Least Common Multiple – LCM Definition & Examples
- Least Squares – Explanation and Examples
- Length of a Vector - Definition, Formulas, and Examples
- Leonhard Euler - Swiss Mathematician
- Less than – Explanation & Examples
- Limit laws - Definition, Properties, and Examples
- Limits calculus - Definition, Properties, and Graphs
- Limits of rational functions - Examples and Explanation
- Limits of trig functions - Properties, Techniques, and Examples
- Line graph
- Line Integral - Definition, Properties, and Examples
- Linear Graph – Explanation and Examples
- Linear Programming – Explanation & Examples
- List of Important Mathematicians & Timeline
- Local Extrema - Examples and Explanation
- Locus of a Moving Point
- Logarithm Rules – Explanation & Examples
- Logistic Equation - Explanation & Examples
- Maclaurin Series - Definition, Expansion Form, and Examples
- Madhava - The Founder of The Kerala School
- Math Calculators
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- Math Lessons
- Math Transformations
- Mathematical induction - Explanation and Example
- Matrices
- Matrices - Explanation & Examples
- Matrix addition - Explanation & Examples
- Matrix equation - Explanation & Examples
- Matrix multiplication - Explanation & Examples
- Matrix subtraction - Explanation & Examples
- Mayan Mathematics - Numbers & Numerals
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- Measures of Central Tendency
- Median mean mode
- Median statistics
- MEDIEVAL MATHEMATICS
- Midpoint Formula – Explanation & Examples
- Mixed Fraction | Definition & Meaning
- Mode statistics – Explanation & Examples
- Multiplication – Explanation & Examples
- Multiplication by a Scalar - Explanation and Examples
- Multiplication Chart – Explanation & Examples
- Multiplication Property of Equality – Examples and Explanation
- Multiplying and Dividing Integers – Methods & Examples
- Multiplying complex numbers - Techniques, Explanation, and Examples
- Multiplying Decimals – Explanation & Examples
- Multiplying Exponents – Explanation & Examples
- Multiplying Expressions – Methods & Examples
- Multiplying Fractions – Methods & Examples
- Multiplying Mixed Numbers – Methods & Examples
- Multiplying Numbers in Scientific Notation – Technique & Examples
- Multiplying Polynomials – Explanation & Examples
- Multiplying Radicals – Techniques & Examples
- Multiplying Rational Expressions – Techniques & Examples
- Mutually exclusive events - Explanation & Examples
- Negative Exponents – Explanation & Examples
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- Negative Vectors - Explanation and Examples
- New page
- Newton's method - Process, Approximation, and Example
- NICCOLò TARTAGLIA, GEROLAMO CARDANO & LODOVICO FERRARI
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- Normal Distribution – Explanation & Examples
- Normal Distribution Percentile Calculator + Online Solver With Free Steps
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- Number Properties - Definition & Examples
- Number Sequence – Explanation & Examples
- Number System Conversion
- Numbers in Scientific Notation – Explanation & Examples
- Oblique asymptotes – Properties, Graphs, and Examples
- Obtuse Angle
- Odd and Even Numbers
- One sided limits - Definition, Techniques, and Examples
- One to one function - Explanation & Examples
- Opposite adjacent hypotenuse – Explanation & Examples
- Order of Operations – PEDMAS
- Ordering Fractions – Explanation & Examples
- Orthogonal vector - Explanation and Examples
- Parabola - Properties, Components, and Graph
- Parallel Lines - Definition, Properties, and Examples
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- Pascal's triangle - Definition, Patterns, and Applications
- Paul Cohen: Set Theory and The Continuum Hypothesis
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- What Is 0.05 Percent of 1000 + Solution with Free Steps
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- Squares & Perfect Squares – Explanation & Examples
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- A -10.0 nC point charge and a +20.0 nC point charge are 15.0 cm apart on the x-axis. Find the following:
- A +9 nC charge is located at the origin. What is the strength of the electric field at the position (x,y)=(−5.0 cm,−5.0 cm)
- A 0.500-kg mass on a spring has velocity as a function of time given by the following equation. Find the following:
- A 1500 kg car takes a 50m radius unbanked curve at 15 m/s.
- A 2.0 kg piece of wood slides on the surface. The curved sides are perfectly smooth, but the rough horizontal bottom is 30 m long and has a kinetic friction coefficient of 0.20 with the wood. The piece of wood starts from rest 4.0 m above the rough bottom. Where will this wood eventually come to rest?
- A 2.4 m aqueous solution of an ionic compound with the formula MX2 has a boiling point of 103.4 C. Calculate the Van’t Hoff factor (i) for MX2 at this concentration.
- A 20.0 mL sample of 0.150 M ethylamine is titrated with 0.0981 M HCI. What is the pH after the addition of 5.0 mL of HCl? For ethylamine, pKb = 3.25.
- A and B are n x n matrices. Mark each statement True or False. Justify your answer.
- A baseball team plays in a stadium that holds 55,000 spectators. With ticket prices at 10, the average attendance had been 27,000. When ticket prices were lowered to10,the average attendance had been 27,000. When ticket prices were lowered to 8, the average attendance rose to 33,000. How should ticket prices be set to maximize revenue?
- A bicycle with 0.80 m diameter tires is coasting on a level road at 5.6 m/s. A small blue dot has been painted on the tread of the rear tire. What is the speed of the blue dot when it is 0.80 m above the road? Also, calculate the angular speed of the tires.
- A bicycle with 0.80 m diameter.
- A block is hung by a string from the inside roof of a van. When the van goes straight ahead at a speed of 24 m/s, the block hangs vertically down. But when the van maintains this same speed around an unbanked curve (radius = 175m) the block swings toward the outside of the curve, then the string makes an angle theta with the vertical. Find theta.
- A block oscillating on a spring has an amplitude of 20 cm. What will the block’s amplitude be if its total energy is doubled?
- A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat.
- A boat on the ocean is 4 miles from the nearest point on a straight shoreline; that point is 6 miles from a restaurant on the shore. A woman plans to row the boat straight to a point on the shore and then walk along the shore to the restaurant.
- A canoe has a velocity of 0.40 m/s southeast relative to the earth. The canoe is on a river that is flowing 0.50 m/s east relative to the earth. Find the velocity (magnitude and direction) of the canoe relative to the river.
- A car is stopped at a traffic light. It then travels along a straight road such that its distance from the light is given by x(t) = bt^2 – ct^3 , where b = 2.40 m/s2 and c = 0.120 m/s3 (a) Calculate the average velocity of the car for the time interval t = 0 to t = 10.0 s. (b) Calculate the instantaneous velocity of the car at t=0, t = 5.0 s, and t = 10.0 s. (c) How long after starting from rest is the car again at rest?
- A car is stopped at a traffic light. It then travels along a straight road such that its distance from the light is given by x(t)=bt^2-ct^3, where b=2.40 m/s^2 and c=0.120 m/s^3. (a) Calculate the average velocity of the car for the time interval t = 0 to t = 10.0 s. (b) Calculate the instantaneous velocity of the car at t=0, t = 5.0 s, and t = 10.0 s. (c) How long after starting from rest is the car again at rest?
- A cart is driven by a large propeller or fan, which can accelerate or decelerate the cart. The cart starts out at the position x=0m, with an initial velocity of +5m/s and a constant acceleration due to the fan. The direction to the right is positive. The cart reaches a maximum position of x=12.5m, where it begins to travel in the negative direction. Find the acceleration of the cart.
- A Cessna aircraft has a liftoff speed of 120 km/h. What minimum constant acceleration does the aircraft require if it is to be airborne after a takeoff run of 240 m?
- A clay vase on a potter’s wheel experiences an angular acceleration of 5.69 rad/s^2 due to the application of a 16.0 nm net torque. find the total moment of inertia of the vase and potter’s wheel.
- A dockworker applies a constant horizontal force of 80.0 N to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves 11.0 m in 5.00 s.
- A force acting on a particle moving in the xy plane is given by F=(2yi+x^2 j)N, where x and y are in meters.
- A gas mixture contains 75.2% nitrogen and 24.8% krypton by mass.
- A golfer hits a golf ball at an angle of 25.0 to the ground. If the golf ball covers a horizontal distance of 301.5 m, what is the balls maximum height? (hint: at the top of its flight, the balls vertical velocity component will be zero.)
- A hammer in an out-of-tune piano.
- A high diver of mass 70.0 kg jumps off a board 10 m above the water. If, 1.0 s after entering the water his downward motion is stopped, what average upward force did the water exert?
- A high-speed flywheel in a motor is spinning at 500 rpm when a power failure suddenly occurs. The flywheel has mass 40.0 kg and diameter 75.0 cm. The power is off for 30.0 s, and during this time the flywheel slows due to friction in its axle bearings. During the time the power is off, the flywheel makes 200 complete revolutions.
- A horizontal rope is tied to a 50 kg box on frictionless ice. What is the tension in the rope if a. The box is at rest? b. The box moves at a steady 5.0 m/s? c. The box has v_{x}=5.0m/s and a_{x}=5.0m/s^2.
- A hurricane wind blows across a $6.00 \,m\times 15.0\, m$ flat roof at a speed of $130\, km/h$. Is the air pressure above the roof higher or lower than the pressure inside the house? Explain.
- A jet plane lands with a speed of 100 m/s and can accelerate at a maximum rate of 7m/s^2 as it comes to rest. Can this plane land on a small tropical island airport where the runway is 0.900 km long?
- A juggler throws a bowling pin straight up with an initial speed of 8.20 m/s. How much time elapses until the bowling pin returns to the juggler’s hand?
- A light wave has a 670 nm wavelength in air. Its wavelength in a transparent solid is 420 nm. Calculate the speed and frequency of light in given solid.
- A mail-order company advertises that it ships 90% of its orders within three working days. You select an SRS of 100 of the 5000 orders received in the past week for an audit. The audit reveals that 86 of these orders were shipped on time. If the company really ships 90% of its orders on time, what is the probability that the proportion in an SRS of 100 orders is 0.86 or less?
- A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground.
- A marble moves along the x-axis. The potential-energy function is shown in the figure (figure 1) .
- A mountain lion can make a leap 10.0 m long, reaching a maximum height of 3.0 m. What is the speed of the mountain lion just as it leaves the ground?
- A movie stuntman (mass 80.0kg) stands on a window ledge 5.0m above the floor. Grabbing a rope attached to a chandelier, he swings down to grapple with the movie’s villian (mass 70.0 kg), who is standing directly under the chandelier.(assume that the stuntman’s center of mass moves downward 5.0 m. He releases the rope just as he reaches the villian. (a) with what speed do the entwined foes start to slide across the floor?
- A nozzle with a radius of 0.250 cm is attached to a garden hose with a radius of 0.750 cm. The flow rate through hose and nozzle is 0.0009. Calculate the speed of the water.
- A parallel-plate air capacitor has a capacitance of 920 pf. The charge on each plate is 3.90 μc.
- A piano has been pushed to the top of the ramp at the back of a moving van. The workers think it is safe, but as they walk away, it begins to roll down the ramp. If the back of the truck is 1.0 m above the ground and the ramp is inclined at 20°, how much time do the workers have to get to the piano before it reaches the bottom of the ramp?
- A piece of sodium metal reacts completely with water is given below. The hydrogen gas generated is collected over water at 25.0 degree C. The volume of the gas is 246 mL measured at 1.00 atm. Calculate the number of grams of sodium used in the reaction. (Vapor pressure of water at 25 degree C=0.0313 atm.)
- A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total area enclosed is a maximum?
- A piston–cylinder device initially contains 0.07 cubic meter of nitrogen gas at 130 kPa and 180 degrees. The nitrogen is now expanded to a pressure of 80 kPa polytropically with a polytropic exponent whose value is equal to the specific heat ratio (called isentropic expansion). Determine the final temperature and the boundary work done during this process.
- A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.
- A point charge of magnitude q is at the center of a cube with sides of length L. What is the electric flux Φ through each of the six faces of the cube? What would be the flux Φ_1 through a face of the cube if its sides were of length L_{1}?
- A potter’s wheel having a radius of 0.50 m and a moment of inertia of 12 kg m^2 is rotating freely at 50 rev/min. The potter can stop the wheel in 6.0 s by pressing a wet rag against the rim and exerting a radially inward force of 70 N. Find the effective coefficient of kinetic friction between the wheel and the wet rag.
- A projectile is shot from the edge of a cliff 125 m above ground level with an initial speed of 65.0 m/s at an angle of 37 degrees with the horizontal.
- A proton with an initial speed of 650,000 m/s is brought to rest by an electric field.
- A rectangular package to be sent by a postal service that has a maximum total length and perimeter (or girth) limit of 108 inches. A rectangular package is to be sent via this service. Calculate the dimensions of the package that covers the maximum volume. (Cross-sections may be assumed to be square)
- A rock climber stands on top of a 70m high cliff overhanging a pool of water. He throws stones vertically downward 1.2s apart and observes that the cause a single splash. The initial speed of the first stone was 2.5 m/s. How long after the release of the first stone does the second stone hit the water?
- A rubber ball of mass m is dropped from a cliff. As the ball falls. it is subject to air drag (a resistive force caused by the air). The drag force on the ball has magnitude bv^2, where b is a constant drag coefficient and v is the instantaneous speed of the ball. The drag coefficient b is directly proportional to the cross-sectional area of the ball and the density of the air and does not depend on the mass of the ball. As the ball falls, its speed approaches a constant value called the terminal speed.
- A shopper in a supermarket pushes a cart with a force of 35.0N directed at an angle of 25 below the horizontal. The force is just sufficient to balance various friction forces, so the cart moves at constant speed.
- A simple random sample size of 100 is selected from a population with p= 0.40. What is the expected value of p? What is the standard error of p? Show the sampling distribution of p? What does the sampling distribution of p show?
- A ski lift has a one-way length of 1km and a vertical rise of 200m. The ski lift which is operating at a steady speed of 10km/h and chairs are separated by 20m. Three people can be seated on each chair with the average mass of each loaded chair is 250kg
- A small rock with mass 0.12 kg is fastened to a massless string with length 0.80 m to form a pendulum. The pendulum is swinging so as to make a maximum angle of 45 with the vertical. Air Resistance is negligible.
- A spherical hot air balloon is initially filled with air at 120 kPa and 20 degree Celsius with a velocity of 3 m/s through a 1 m diameter opening. How many minutes will it take to inflate this balloon to a 17 m diameter when the pressure and temperature of the air in the balloon remain the same as the air entering the balloon?
- A spherical interplanetary probe of 0.5m diameter contains electronics that dissipates 150 W. If the probe surface has an emissivity of 0.8 and the probe does not receive radiation from other surfaces, as, for example, from the sun, what is its surface temperature?
- A spring with Spring Constant k=340N/m is used to Weigh a 6.7-kg fish
- A standard deck of cards contains 52 cards. One card is selected from the deck.
- A steel cylinder has a length of 2.16 in, a radius of 0.22 in, and a mass of 41 g. What is the density of the steel in g/cm^3?
- A system consisting of one original unit plus a spare can function for a random amount of time X. If the density of X is given (in units of months) by the following function. What is the probability that the system functions for at least 5 months?
- A tank of water with depth of 20.0 cm and a mirror at its bottom has a small fish floating motionless 7.0 cm under the surface of the water. (a) What is the apparent depth of the fish when viewed at normal incidence? (b) What is the apparent depth of the image of the fish when viewed at normal incidence?
- A uniform steel bar swings from a pivot at one end with a period of 1.2 s. How long is the bar?
- A very thin oil film (n=1.25) floats on water (n=1.33). What is the minimum width of the oil film required to produce a strong reflection for green light with 500nm wavelength.
- A wildlife biologist examines frogs for a genetic trait he suspects may be linked to sensitivity to industrial toxins in the environment.
- A’ U B’ – Definition, Properties, and Examples
- About 0.1 ev is required to break a “hydrogen bond” in a protein molecule.
- Absolute Value Limits – Definition, Properties, and Examples
- Absolute Value of -8: A Detailed Explanation With Examples
- AC Method: Detailed Explanation and Examples
- Addition Method – Definition, Applications, and Examples
- After the reaction, how much octane is left?
- Air enclosed in a sphere has density 1.4 kg/m^3. What will the density be if the radius of the sphere is halved, compressing the air within?
- Algebra 1 Topics – Mastering the Foundations of Algebra for Beginners
- Algebra 2 Topics – An Overview of Key Concepts and Curriculum
- Algebra 2 vs Algebra 1 – Understanding the Differences and Advancements
- Algebra 2 vs Trigonometry – Understanding the Differences and Applications
- Algebra Practice Problems – Master Your Skills with Exercises and Solutions!
- Algebra vs Calculus – Understanding the Differences and Applications
- Algebra-Based Physics – Understanding the Fundamentals of Physical Laws and Equations
- Alternating Series Estimation Theorem – Definition With Examples
- An aerosol spray can with a volume of 250 mL contains 2.30 g of propane gas (C3H8) as a propellant.
- An airplane flies at an altitude of 5 miles toward a point directly over an observer.
- An astronaut on a distant planet wants to determine its acceleration due to gravity. The astronaut throws a rock straight up with a velocity of + 15 m/s and measures a time of 20.0 s before the rock returns to his hand. What is the acceleration (magnitude and direction) due to gravity on this planet?
- An element of atomic number 88 decays radioactively to an element of atomic number 82.
- An iceberg (specific gravity 0.917) floats in the ocean (specific gravity 1.025 ). What percent of the volume of the iceberg is under water?
- An intergalactic spaceship arrives at a distant planet that rotates on its axis with a period of T. The spaceship enters a geosynchronous orbit at a distance of R.
- An object moving in the xy-plane is acted on by a conservative force described by the potential-energy function U(x,y) where ‘a’ is a positive constant. Derive an expression for the force f⃗ expressed in terms of the unit vectors i^ and j^.
- An oil pump is drawing 44kw of electric power. Find out the mechanical efficiency of the pump.
- An open tank has a vertical partition and on one side contains gasoline with a density p= 700 kg/m^3 at a depth of 4m. Arectangular gate that is 4 m high and 2 m wide and hinged at one end is located in the partition. Water is slowly added to the empty side of the tank. At what depth, h, will the gate start to open?
- Angle Bisector Theorem – Definition, Conditions and Examples
- Antiderivative Graph: Complete Explanation and Examples
- Antiderivative of a Fraction: Complete Explanation and Examples
- Antiderivative vs Integral – Definition and Examples
- Applied Calculus vs Calculus – Understanding the Differences and Applications
- Applied Calculus: Comprehensive Definition and Detailed Examples
- Aqueous Iodide ion is oxidized to i2(s) by hg22+(aq).
- arcsec Derivative – Definition, Properties, and Examples
- arctan(0) – Definition, Applications, and Examples
- Are Fractions Integers? Definition and Examples
- Area of a Shaded Triangle: A Complete Guide
- Argon is compressed in a polytropic process with n=1.2 from 120 kPa and 30°C to 1200 kPa in a piston-cylinder device. Determine the final temperature of the argon.
- Arithmetic Sequence Problems with Solutions – Mastering Series Challenges
- Arithmetic Shift vs Logical Shift – Understanding the Differences in Bitwise Operations
- Arithmetic vs Geometric – Understanding the Differences
- Arithmetic vs Mathematics – Understanding the Differences
- Assume that a procedure yields a binomial distribution.
- At a certain location wind is blowing steadily at 12 m/s. Determine the mechanical energy of air per unit mass and the power generation potential of a wind turbine with 60m diameter blades at that location. Take the air density to be 1.25kg/m^3.
- At NASA’s Jet Propulsion Laboratory’s 25-foot space simulator facility, a series of overhead arc lamps can generate a light intensity of 2500 $\dfrac {W} {m ^ 2} $ on the facility floor. (This simulates the intensity of sunlight near Venus.) Find the average momentum density (momentum per unit volume) in the light at the floor.
- At one point in a pipeline the water’s speed is 3.00 m/s and the gauge pressure is 5.00 x 10^4 Pa. Find the gauge pressure at a second point in the line, 11.0 m lower than the first, if the pipe diameter at the second point is twice that at the first.
- At what point does the curve have maximum curvature? y = 7 ln(x)
- Average of Averages – Definition, Applications, and Examples
- Average Rate of Change Over an Interval – Definition and Examples
- Based on the normal model N(100, 16), describing IQ scores. What percent of people’s IQ would you expect to be:
- Bodmas vs Pemdas – Definition, Applications, and Examples
- Boolean Algebra Rules Simplified – Mastering Logic in Math and Computing
- Box Method for Factoring Trinomials: A Step-by-Step Guide
- Boxes A and B are in contact on a horizontal friction-less surface. Box A has mass 20 kg and box B has mass 5kg.A horizontal force of 250N is exerted on box A. What is the magnitude of the force that box A exerts on box B?
- Boxes A and B are in contact on a horizontal, frictionless surface. Box A has mass 20.0 kg and box B has mass 5.0 kg. A horizontal force of 250 N is exerted on box A. What is the magnitude of the force that box A exerts on box B?
- Calculate net price factor and net price.
- Calculate the frequency of each of the following wavelengths of electromagnetic radiation.
- Calculate the magnitude of the linear momentum for the following cases:
- Calculate the Molar Solubility of Ni(OH)2 when Buffered at ph=8.0
- Calculate the pH of a buffer that is 0.12 M in lactic acid and 0.11 M in sodium lactate.
- Calculate the ratio of effusion rates for Ar and Kr.
- Calculate the ratio of NaF to HF required to create a buffer with pH =4.20.
- Calculate the ratio of NaF to HF required to create a buffer with pH=4.15.
- Calculate the total kinetic energy, in Btu, of an object with a mass of 10 lbm when its velocity is 50 ft/s.
- Calculate the total potential energy, in Btu, of an object that is 20 ft below a datum level at a location where g=31.7 ft/s^2 and which has mass of 100lbm.
- Calculus 1 Topics – An Overview of Fundamental Concepts
- Calculus 2 Topics – Exploring the Core Concepts and Applications
- Calculus 3 Topics Explained – Unveiling the Main Concepts
- Calculus BC vs AB – Understanding the Differences and Choosing the Right Course
- Calculus U-Substitution – Mastering Integration Techniques
- Caltech vs MIT: Which One of These Universities Is Better?
- Can a Function Have Repeating Y Values? Understanding Vertical Line Test
- Can two events with nonzero probabilities be both independent and mutually exclusive?
- Can You Multiply a 4 x 2 and a 2 x 4 Matrix?
- Cavalieri’s Principle – Definition, Conditions and Applications
- Chain Rule Integration – Definition and Examples
- Circumscribed and Inscribed Circles of Triangles-A Comprehensive Guide
- Closed Under Addition – Property, Type of Numbers, and Examples
- Coefficient Matrix — Explanation and Examples
- Coffee is draining from a conical filter into a cylindrical coffee pot of radius 4 inches at the rate of 20 cubic inches per minute. How fast is the level in the pot rising when the coffee in the cone is 5 inches deep. How fast is the level in the cone falling then?
- College Algebra Review – Simplified Guide to Key Concepts and Problem-Solving Techniques
- Complex Derivative: Detailed Explanation and Examples
- Compute the distance d from y to the line through u and the origin.
- Compute the following binomial probabilities directly from the formula for b(x, n, p).
- Compute the reactance of a 0.450 H inductor at the frequency of 60.0 Hz. Compute the reactance of a 2.50 microfarad capacitor at the same frequencies.
- Cone Net – Definition, Properties, and Examples
- Congruent Supplementary Angles – Definition, Measure and Explanation
- Conjugate of Square Root – Definition and Examples
- Consider a binomial experiment with n=20 and p=0.70.
- Consider a transition of the electron in the hydrogen atom from n = 4 to n = 9. Determine the wavelength of light that is associated with this transition. Will the light be absorbed or emitted?
- Consider a vehicle moving with constant velocity v. Find the Power dissipated by form drag.
- Construct a matrix whose column space contains (1, 1, 5) and (0, 3, 1) while it’s null space contains (1, 1, 2).
- Contrapositive Definition Geometry – Understanding Logical Statements in Math
- Converse Meaning in Geometry – Understanding Theorem Inverses
- Converting 0.44444 Repeating as a Fraction: Solutions and Examples
- Cos 45 Degrees – Trigonometry’s Fundamental Angle and Its Significance
- Cosine Theorem – Explanation & Examples
- CPCTC – Definition, Proof, and Examples
- Curvature Formula – Definition, Properties, and Examples
- Decagon Explored – Definition, Properties, and Examples
- Derivative of 2^x – Applications With Examples
- Derivative of Absolute Value – Definition Properties, and Examples
- Derivative of ln(2X) – Definition and Examples
- Derivative of Sec^2x: Detailed Explanation and Examples
- Derivative of secant Inverse – Definition and Examples
- Derivative of Sigmoid – Definition, Applications, and Examples
- Derivative of Sigmoid Function – Simplified Explanation for Better Understanding
- Derivative of Tan^-1 x: Detailed Explanation and Examples
- Derivative of x^2 – Applications With Examples
- Descartes Rule of Signs in Finding Roots of a Polynomial
- Describe all solutions of Ax=0 in parametric vector form, where A is row equivalent to the given matrix.
- Determine a region whose area is equal to the given limit. Do not evaluate the limit.
- Determine if the columns of the matrix form a linearly independent set. Justify each answer.
- Determine the current (magnitude and direction) in the 8.0 and 2.0-? resistors in the drawing.
- Determine the longest interval in which the given initial value problem is certain to have a unique twice differentiable solution. Do not attempt to find the solution.
- Determine the magnitude of the current in the (a) 8.0-ω and (b) 2.0-ω resistors in the drawing.
- Determine the value of h such that the matrix is the augmented matrix of a consistent linear system.
- Determine whether each of these functions is a bijection from R to R.
- Determine whether f is a function from Z to R for given functions
- Determine whether the sequence converges or diverges. If it converges, find the limit.
- Determine zα for the following of α. (Round your answers to two decimal places.)
- Did the electron move into a region of higher potential or lower potential?
- Different Angles in Geometry – Your Visual Guide to Angle Types
- Differentiable vs. Continuous Functions – Understanding the Distinctions
- Differential and Integral Calculus: An Essential Guide for Beginners
- Direct Variation Equation – Definition, Formula, and Examples
- Direction Cosines – Definition, Properties, and Examples
- Do You Need Calculus for Computer Science? Understanding the Role of Math in Tech Careers
- Dodecagon Unveiled – Applications, Properties, and Examples
- Domain and Range of Radical Functions: Explanation and Examples
- Domain of Tangent Function – Understanding Its Range and Behavior
- Double Angle Theorem – Identities, Proof, and Application
- e^Infinity – Definition, Applications, and Examples
- Each limit represents the derivative of some function f at some number a.
- Elimination Method – Steps, Techniques, and Examples
- Empirical Probability – Definition, Application, and Examples
- Enter the solubility-product expression for Al(OH)3 (s)
- Equation of a Semicircle – Definition, Properties, and Examples
- Equation vs Expression – Definition, Applications, and Examples
- Equilateral Triangles – Essential Concepts with Examples
- Estimate the angle to the nearest one-half radian.
- Euler’s Method – Definition, Properties, Applications, and Examples
- Evaluate 512/2
- Evaluate the difference quotient for the given function. Simplify your answer.
- Evaluate the double integral y^2 dA, D is the triangular region with vertices (0, 1), (1,2), (4,1)
- Evaluating the Integral of 1/x
- Example of Linear Function – Understanding Basics and Real-World Applications
- Expanded Form Exponents — Explanation and Examples
- Explain the Steps Necessary to Convert a Quadratic Function – Simplifying Standard Form to Vertex Form
- Explain why the function is differentiable at the given point. Then find the linearization L(x, y) of the function at that point.
- Explicit Formula – Explanation and Examples
- Exploring Quartic Function – Properties, Applications, and Examples
- Exploring the Antiderivative of tan(x) – Applications and Examples
- Exploring the Transverse Axis – Properties and Significance
- Exponential Function Range – Understanding Its Limits and Boundaries
- Exponential Function Table – A Quick Guide to Understanding Values
- Exponential Parent Function – Understanding the Basics
- Express the plane z=x in cylindrical and spherical coordinates.
- Extreme Value Theorem – Explanation and Examples
- Factorial but Addition – Definition, Applications, and Examples
- Factoring Monomials — Explanation and Examples
- Factoring Quadratics Made Easy: Methods and Examples
- Find a basis for the eigenspace corresponding to each listed eigenvalue of A given below:
- Find a basis for the space of 2×2 lower triangular matrices.
- Find a nonzero vector orthogonal to the plane through the points P, Q, and R, and area of the triangle PQR.
- Find a single vector x whose image under t is b
- Find a vector function that represents the curve of intersection of the cylinder and the plane.
- Find a2, the magnitude of the centripetal acceleration of the star with mass m2 under the following constraints.
- Find All the Real Square Roots Of – 9/16: Tips and Examples
- Find all the second partial derivatives of v=xy/x-y.
- Find an explicit description of nul A by listing vectors that span the null space.
- Find an orthogonal basis for the column space of the matrix given below:
- Find parametric equations for the path of a particle that moves along the circle
- Find the area of the parallelogram whose vertices are listed. (0,0), (5,2), (6,4), (11,6)
- Find the area of the parallelogram with vertices A(-3, 0), B(-1, 5), C(7, 4), and D(5, -1)
- Find the Area of the Shaded Region of a Circle: Clear Examples
- Find the best approximation to z by vectors of the form c1v1 + c2v2
- Find the change of coordinates matrix from B to the standard basis in R^n.
- Find the coefficient of x^5 y^8 in (x+y)^13.
- Find the constant a such that the function is continuous on the entire real line.
- Find the critical value z a/2 that corresponds to a 93% confidence level.
- Find the differential of each function. (a) y=tan (7t), (b) y=3-v^2/3+v^2
- Find the dimension of the subspace spanned by the given vectors:
- Find the directional derivative of f at the given point in the direction indicated by the angle θ.
- Find the domain and range of these functions.
- Find the exponential function f(x) = a^x whose graph is given.
- Find the first partial derivatives of the function f(x, y) = (ax + by)/(cx + dy)
- Find the least integer n such that f(x) is O(x^n) for each of these functions.
- Find the length and width of a rectangle that has the given area and a minimum perimeter.
- Find the parametric equation of the line through a parallel to b.
- Find the point at which the given lines intersect. Find an equation of the plane that contains these lines.
- Find the point on the hyperbola xy = 8 that is closest to the point (3,0).
- Find the point on the line y = 4x + 3 that is closest to the origin.
- Find the point on the line y=2x+3 that is closest to the origin.
- Find the point on the line y=5x+3 that is closest to the origin.
- Find the points on the cone z^2 = x^2 + y^2 that are closest to the point (2,2,0).
- Find the points on the surface y^2 = 9 + xz that are closest to the origin.
- Find the probability P (E or F), if E and F are mutually exclusive.
- Find the rate of change of f at p in the direction of the vector u.
- Find the scalar and vector projections of b onto a.
- Find the surface area of the torus shown below, with radii r and R.
- Find the Taylor polynomial T3(x) for the function f centered at the number a. f(x) = x + e^{−x}, a = 0
- Find the tension in each cord in the figure (figure 1) if the weight of the suspended object is w.
- Find the values of x such that the angle between the vectors (2, 1, -1) and (1, x, 0) is 40.
- Find the vectors T, N, and B at the given point. r(t)= and point .
- Find the vectors T, N, and B, at the given point.
- Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position.
- find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 3, 0), (-2, 0, 2),(-1, 3, -1).
- Find the volume of the solid generated by revolving the shaded region about the y-axis.
- Find the work W done by the force F in moving an object from a point A in space to a point B in space is defined as W = F.. Find the work done by a force of 3 newtons acting in the direction 2i + j +2k in moving an object 2 meters from (0, 0, 0) to (0, 2, 0).
- Find transient terms in this general solution to a differential equation, if there are any
- Find two functions f and g such that (f ∘ g)(x) = h(x).
- Find two positive real numbers whose product is a maximum. The sum is 110.
- Find two sets A and B such that A ∈ B and A ⊆ B.
- Find x such that the matrix is equal to its own inverse.
- Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1, 0, -1), B(3, -2, 0), C(1, 3, 3).
- For a test of Ho: p=0.5,the z test statistic equals -1.74. Find the p-value for Ha: p<0.5.
- For an electrostatic precipitator, the radius of the central wire is 90.0 um, the radius of the cylinder is 14.0 cm, and a potential difference of 50.0 kV is established between the wire and the cylinder. What is the magnitude of the electric field midway between the wire and the cylinder wall?
- For how long a time t could a student jog before irreversible body damage occurs?
- For the equation, write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. Keeping the restrictions in mind, solve the equation.
- For the matrix A below, find a nonzero vector in nul A and a nonzero vector in col A.
- For the two vectors in the figure (Figure 1) , find the magnitude of the vector product
- For what value of the constant c is the function f continuous on (-∞, ∞)?
- Formic acid, HCOOH, is a weak electrolyte. What solutes are present in the aqueous solution of formic acid. Write its equilibrium equation
- Four point charges form a square with sides of length d, as shown in the figure. In the questions that follow, use the constant k in place of
- Fourier Transform Table – Definition and Applications
- From the half-life for 14C decay, 5715 year, determine the age of the artifact.
- Function and Not a Function – Understanding the Difference
- Function Non Examples – Understanding What They Aren’t
- Function Operations – Explanation and Examples
- Function Real Life Examples – How Math Shapes Your World
- Geometric Series Test – Definition, Applications, and Examples
- Geometry Symbols Meaning – Decoding the Language of Shapes
- Geometry vs Algebra – Understanding the Core Differences
- Geometry vs Trigonometry – Understanding the Differences and Applications
- Given a standard normal distribution, find the area under the curve that lies (a) to the left of z=-1.39; (b) to the right of z=1.96 ; (c) between z=-2.16 and z = -0.65; (d) to the left of z=1.43 ; (e) to the right of z=-0.89; (f) between z=-0.48 and z= 1.74.
- Given that z is a standard normal random variable, compute the following probabilities
- Given the proportion a/b = 8/15, what “ratio” completes the equivalent proportion a/8.
- Glide Reflection – Definition, Process and Examples
- Graphing in 3 Dimensions – A Comprehensive Guide
- Greater Than or Equal to on a Number Line – A Beginner’s Guide
- Greatest Common Monomial Factor — Explanation and Examples
- Halfplane: Definition, Detailed Examples, and Meaning
- Hard Algebra Questions – Challenging Problems and Step-by-Step Solutions
- Hard Geometry Problems – Tackling Tough Challenges with Ease
- Hardest Calculus Problem – Unlocking the Mysteries of Advanced Mathematics
- Hardest Math Subject – A Comprehensive Guide
- Hexagon – Definition, Geometry, Applications, and Examples
- Hinge Theorem – In-Depth Explanation and Detailed Examples
- Horizontal Shift – Definition, Process and Examples
- How do I interpret this equation 5+1×10=? Is the answer 15 or 60?
- How do you write y = 2x – 9 in standard form?
- How far, in meters, will the vehicles slide after the collision?
- How Hard is Calculus 1 – Unraveling the Challenge for Beginners
- How Hard is Calculus? A Comprehensive Guide
- How is Algebra Used in Real Life – 10 Practical Examples Explained
- How many atoms are in 1.75 mol CHCl3?
- How many bit strings of length seven either begin with two 0s or end with three 1s?
- How Many Calculus Classes Are There? Understanding Your Options
- How many different 7 card hands can be chosen from a standard 52 card deck?
- How many electrons per second enter the positive end of battery #2 for the following circuit:
- How many hydrogen atoms are in $35.0$ grams of hydrogen gas?
- How many hydrogen atoms are in 35.0 grams of hydrogen gas?
- How Many Sides Does a Circle Have – Definition and Examples
- How many square feet is Rhode island?
- How many ways are there to choose four members of the club to serve on an executive committee?
- How many ways are there to distribute six indistinguishable balls into nine distinguishable bins?
- How much work is done on the package by friction as it slides down the circular arc from A to B?
- How to Add and Subtract Polynomials – A Simple Guide for Beginners
- How to Classify Polynomials – A Straightforward Guide
- How to Complete Tables – Explanation and Examples
- How to Determine if a Graph is a Function – Quick Guide to Understanding Graphs
- How to Divide Polynomials Using Synthetic Division – A Step-by-Step Guide
- How to Divide Radicals – Definition and Examples
- How to Do Algebra – Practical Tips for Mastering Equations
- How to Do Elimination in Math – A Complete Guide
- How to Do Proofs in Geometry – Mastering Shapes and Theorems with Ease
- How to Factor 3-Term Polynomials – A Step-by-Step Guide with Examples
- How to Factor in Algebra – A Step-by-Step Guide
- How to Factor Polynomials with 4 Terms – A Simple Step-by-Step Guide
- How to Factor Polynomials with 5 Terms – A Simple Step-by-Step Guide
- How To Find 16 Square Root: Detailed Explanation
- How to Find a Function from a Graph – A Step-by-Step Guide
- How to Find an Exponential Function from a Graph – A Step-by-Step Guide
- How to Find Arithmetic Sequence – A Step-by-Step Guide
- How to Find Asymptotes of a Function – Your Easy Guide to Graph Analysis
- How to Find Asymptotes of a Rational Function – A Simple Guide
- How to Find Average Rate of Change of a Function – Your Step-by-Step Guide
- How to Find Average Value of a Function – A Simple Guide for Beginners
- How to Find Common Difference in Arithmetic Sequence – A Step-by-Step Guide
- How to Find Concavity of a Function – Quick and Easy Guide
- How to Find Derivative of Inverse Function – A Step-by-Step Guide
- How to Find Discontinuity of a Function – A Step-by-Step Guide
- How to Find End Behavior – Strategies and Techniques
- How to Find Exponential Function from Table – A Step-by-Step Guide
- How to Find Hypotenuse With Angle and Side – A Complete Guide
- How to Find Inflection Points of a Function – A Simple Guide
- How to Find Inverse Function – A Step-by-Step Guide
- How to Find Inverse Function of a Fraction – A Simple Guide
- How to Find Maximum Value of a Function – Your Quick Guide to Optimization
- How to Find Min and Max of a Function – A Simple Guide for Beginners
- How to Find Profit Function – Your Step-by-Step Guide to Calculating Profitability
- How to Find Range of a Quadratic Function – A Simple Guide
- How to Find Real Zeros of a Function – A Simple Guide to Roots
- How to Find Revenue Function – A Step-by-Step Guide to Maximize Earnings
- How To Find Square Root of 9/16: Examples and Explanation
- How to Find the Amplitude of a Function – Simple Steps for Quick Understanding
- How to Find the Derivative of a Function – A Step-by-Step Guide
- How to Find the Domain of a Quadratic Function – A Step-by-Step Guide
- How to Find the Exact Value of a Trig Function – Quick and Easy Guide
- How to Find the First Term of an Arithmetic Sequence – A Starter’s Guide
- How to Find the Intersection of Two Planes – A Comprehensive Guide
- How to Find the Inverse of a Function with a Fraction – Step-by-Step Simplification Guide
- How to Find the Inverse of a Log Function – Simplified Steps for Beginners
- How to Find the Inverse of an Exponential Function – A Simple Guide
- How to Find the Limit of a Function – A Step-by-Step Guide
- How to Find the Measure of an Angle – A Comprehensive Guide
- How to Find the Minimum Value of a Function – Your Step-by-Step Guide
- How to Find the Nth Term of an Arithmetic Sequence – A Step-by-Step Guide
- How to Find the Period of a Cosine Function – A Quick Guide
- How to Find the Period of a Function – A Simple Guide
- How to Find the Period of a Trig Function – A Simple Guide
- How to Find the Radius of Convergence – A Comprehensive Guide
- How to Find the Range of a Quadratic Function – Simple Steps to Understand its Scope
- How to Find the Rate of Change of a Function – A Step-by-Step Guide
- How to Find the Slope of a Function – A Step-by-Step Guide
- How to Find the Sum of an Arithmetic Sequence – Easy Steps with Examples
- How to Find the Symmetry of a Function – Easy Identification Tips
- How to Find the Tangent Line of a Function – Simple Steps for Quick Calculation
- How to Find the Vertex of a Quadratic Function – A Step-by-Step Guide
- How to Find the Volume of the Composite Solid?
- How to Find the Y Intercept of a Quadratic Function – A Quick and Friendly Guide
- How to Find the Zeros of a Polynomial Function – A Step-by-Step Guide
- How to Find the Zeros of a Quadratic Function – A Simple Guide
- How to Find Turning Points of a Function – A Step-by-Step Guide
- How to Find Vertical Asymptotes of a Rational Function – Simple Steps for Quick Mastery
- How to Find X Intercept of a Function – A Simple Guide for Beginners
- How to Find X Intercept of a Rational Function – A Step-by-Step Guide
- How to Find X-Intercepts of a Quadratic Function – A Step-by-Step Guide
- How to Find Y-Intercept of a Function – A Quick Guide
- How to Graph a Cosine Function – A Step-by-Step Guide
- How to Graph a Function – A Step-by-Step Visual Guide
- How to Graph a Function f(x) – A Step-by-Step Guide
- How to Graph a Piecewise Function – Simple Steps for Beginners
- How to Graph a Polynomial Function – A Step-by-Step Guide
- How to Graph a Sine Function – A Step-by-Step Guide
- How to Graph an Exponential Function – A Step-by-Step Guide
- How to Graph Complex Numbers – A Simple Guide for Beginners
- How to Graph Polynomials – A Step-by-Step Beginner’s Guide
- How to Know if a Function is Differentiable – A Simple Guide
- How to Know if a Function is Even or Odd – Quick Identification Tips
- How to Know if an Equation is a Function – Quick Identification Tips
- How to Learn Algebra – Quick Tips for Beginners
- How to Learn Calculus – A Friendly Guide to Mastering the Basics
- How to Learn Trigonometry Effectively with Less Effort – Easy Strategies for Mastery
- How to Name a Plane in Geometry?
- How to Sketch the Graph of a Function – Easy Steps for Beginners
- How to Solve a Linear Function – A Step-by-Step Guide
- How to Solve an Equation Graphically – A Complete Guide
- How to Solve Complex Numbers – A Simple Guide to Mastering the Basics
- How to Solve Linear Equations – A Step-by-Step Guide
- How to Solve Linear Equations with Fractions – A Step-by-Step Guide
- How to Subtract Polynomials – Step-by-Step Methods with Examples
- How to Tell if a Function Has an Inverse – Quick Identification Tips
- How to Tell if a Function Is Increasing or Decreasing – Identifying Slopes Made Simple
- How to Write a Linear Function – Simple Steps for Beginners
- How to Write an Exponential Function – A Step-by-Step Guide
- How to Write an Inverse Function – A Step-by-Step Guide
- How to Write Linear Equations – A Step-by-Step Guide
- Identify the surface whose equation is given. ρ=sinθsinØ
- If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads). (a) Calculate the ideal speed to take a 80 m radius curve banked at 15.0. (b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 25.0 km/h?
- If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes.
- If electrical energy costs $0.12, per kilowatt-hour, how much do the following events cost?
- If f and g are both even functions, is f + g even? If f and g are both odd functions, is f+g odd? What if f is even and g is odd? Justify your answers.
- If f is continuous and integral 0 to 4 f(x)dx = 10 , find integral 0 to 2 f(2x)dx.
- If f(2)=10 and f'(x)=x^2f(x) for all x, find f”(2).
- If the atomic radius of lead is 0.175 nm, calculate the volume of its unit cell in cubic meters.
- If the ethyl benzoate used to prepare triphenylmethanol is wet, what by product is formed?
- If we triple the average kinetic energy of the gas atoms, what is the new temperature in ∘c?
- If X is an exponential random variable parameter, λ = 1 , compute the probability density function of the random variable Y defined by Y = logX.
- If xy+6e^y=6e, find the value of y” at the point where x=0.
- If xy+8e^y=8e , find the value of y” at the point where x=0.
- If you double the net force on an object, you’ll double its
- Implicit Function Theorem – Explanation and Examples
- In a carnival booth, you can win a stuffed giraffe if you toss a quarter into a small dish. The dish is on a shelf above the point where the quarter leaves your hand and is a horizontal distance of 2.1 m from this point. If you toss the coin with a velocity of 6.4 m/s at an angle of 60° above the horizontal, the coin will land in the dish. Ignore air resistance. What is the height of the shelf above the point where the quarter leaves your hand?
- In a poker hand consisting of 5 cards, find the probability of holding 3 aces.
- In an experiment in space, one proton is fixed and other is released from rest (point A), from a distance of 5 mm away. What is the initial acceleration of the proton after it is released?
- In getting ready to slam-dunk the ball, a basketball player starts from rest and sprints to a speed of 6.0 m/s in 1.5 s. Assuming that the player accelerates uniformly, determine the distance he runs.
- In how many different orders can five runners finish a race if no ties are allowed?
- In regression analysis, the variable that is being predicted is the
- In the exponential growth or decay function y = y0e^kt, what does y0 represent?
- Incenter Theorem – Definition, Conditions and Examples
- Indirect Measurement – Explanation and Examples
- Infinity Plus Infinity – A Comprehensive Guide
- Inner Product of Matrices – A Comprehensive Guide
- Intercept form Quadratic — Explanation and Examples
- Inverse Function Theorem – Explanation & Examples
- Inverse Log Function – Understanding the Basics in Simple Terms
- Inverse of a Rational Function – Understanding the Basics
- Inverse Variation – Explanation & Examples
- Inverse Variation Equation – Definition and Examples
- Is -1 a Rational Number? Detailed Explanation With Sample
- Is -2 a Real Number? An Introduction To Real Numbers
- Is -6 a Rational Number? A Detailed Guide
- Is 0 a Natural Number – A Beginner’s Guide
- Is a Circle a Function? Unraveling the Mathematical Mystery
- Is a Horizontal Line a Function – A Comprehensive Guide
- Is a Parallelogram a Rectangle – A Comprehensive Guide
- Is Algebra 2 Hard – Understanding Its Challenges and How to Overcome Them
- Is Business Calculus Hard? Unraveling the Complexity for Beginners
- Is Calculus Required for Medical School Admissions? Understanding Prerequisites
- Is College Algebra Hard? Understanding Its Challenges and Tips for Success
- Is Discrete Math Hard – A Complete Guide
- Is Geometry Hard, and Why? Unraveling the Challenges of Shapes and Spaces
- Is Geometry Harder Than Algebra? Understanding the Complexities of Mathematical Disciplines
- Is Linear Algebra Hard? Understanding the Challenges and Strategies to Succeed
- Is Linear Algebra Harder Than Calculus? Understanding the Challenges
- Is Pre-Calculus Hard? Understanding the Challenge Ahead
- Is Statistics Harder Than Calculus?
- Is Trigonometry Hard?
- Is Trigonometry Precalculus? Understanding Their Relationship
- Is Y a Function of X? Understanding Relationships in Mathematics
- Isosceles Triangle – Definition, Properties, and Examples
- Joint Relative Frequency – Definition and Examples
- Let C be the curve intersection of the parabolic cylinder x^2=2y and the surface 3z=xy. Find the exact length of C from the origin to the point (6,18,36).
- Let f be a fixed 3×2 matrix, and H be the set of matrices A belonging to a 2×4 matrix. If we assume that the property FA = O holds true, show that H is a subspace of M2×4. Here O represents a zero matrix of order 3×4.
- Let P(x,y) be the terminal point on the unit circle determined by t. Then find the value for sin(t), cos(t) and tan(t).
- Let W be the set of all vectors of the form shown, where a, b, and c represent arbitrary real numbers
- Let x represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times. What are the possible values of X?
- LIATE – Definition, Properties, Applications and Examples
- Limit of a Series – Definition, Properties, and Applications
- Line of Reflection – Explanation and Examples
- Linear Algebra in Computer Science – Unlocking the Power of Algorithms
- Linear Algebra Prerequisites – Essential Skills for Success
- Linear Algebra Topics – Exploring the Core Concepts Covered in This Mathematical Field
- Linear vs Nonlinear Function: Explanation and Examples
- List five integers that are congruent to 4 modulo 12.
- ln(0) – Definition, Properties, and Applications
- Long Division with Remainders – Polynomials Simplified
- Look at the normal curve below, and find μ, μ+σ, and σ.
- Mastering Heptagons – A Beginner’s Guide
- Mastering Rectangles – Properties, Applications, and Examples
- Mastering the Integral of a Constant – Techniques and Applications
- Mastering the Integration of csc(x) – A Comprehensive Guide
- Match the parametric equations with the graphs. Give reasons for your choices.
- Mathnasium vs Kumon – A Complete Guide
- Midpoint Theorem – Conditions, Formula, and Applications
- Moment Generating Function of Exponential Distribution – Understanding Its Role in Probability
- Moment Generating Function of Normal Distribution – An Easy Guide
- Monotonic Sequence – Definition and Examples
- Multiplication Property of Inequality – Explanation and Examples
- Multiply Square Roots – A Comprehensive Guide
- New Math vs Old Math – A Complete Guide
- Nitrogen is compressed by an adiabatic compressor from 100 kPa and 25°C to 600 kPa and 290°C. Calculate the entropy generation for this process, in kJ/kg∙K.
- Non Adjacent Angles – Definition, Applications, and Examples
- Not a Function Graph – Understanding Non-functional Relationships
- Now consider an excited-state hydrogen atom, what is the energy of the electron in the n=4 level?
- On an essentially frictionless, horizontal ice rink, a skater moving at 3.0 m/s encounters a rough patch that reduces her speed to 1.65 m/s due to a friction force that is 25% of her weight. Use the work–energy theorem to find the length of this rough patch.
- Open Loop Transfer Function – Understanding the Basics of Control Systems
- Order of Polynomials – Simplifying Complex Expressions
- Orthogonal Complement – Definition, Properties, and Examples
- Orthogonal Trajectory – Definition and Examples
- P Series Test – Definition, Applications, and Examples
- Parallel Lines Cut by a Transversal – Definition and Examples
- Parametric Vector Form – Definition and Examples
- Parseval’s Theorem – Definition, Conditions and Applications
- Partial Sum Formula – Definition, Applications, and Examples
- Path Function vs State Function – Understanding Thermodynamic Properties
- Pentagonal Prism – Definition, Geometry, and Applications
- Perform the indicated operation and simplify the result. Leave your answer in factored form.
- Perimeter of a Parallelogram – Explanation & Examples
- Perimeter of a Rectangle – Explanation & Examples
- Perimeter of a Rhombus – Explanation & Examples
- Perimeter of a Square – Explanation & Examples
- Perimeter of a Triangle – Explanation & Examples
- Perpendicular Bisector Theorem – Explanation and Examples
- Points That Lie on the Same Line – Definition and Examples
- Population y grows according to the equation dy/dt = ky, where k is a constant and t is measured in years. If the population doubles every ten years, then the value of k is?
- Pre-Algebra Topics – Your Essential Guide to Mastering Basics
- Pre-Calculus vs Calculus – Understanding the Difference
- Prerequisites for Calculus – Essential Skills and Knowledge Before You Begin
- Prime Polynomial: Detailed Explanation and Examples
- Projection of U Onto V – Definition and Examples
- Properties of Rational Exponents – Explanation and Examples
- Prove or disprove that if a and b are rational numbers, then a^b is also rational.
- Prove or disprove that the product of two irrational numbers is irrational.
- Prove that if m and n are integers and m x n is even, then m is even or n is even.
- Prove that if n is a positive integer, then n is even if and only if 7n + 4 is even.
- Pythagorean Identities – Formula, Derivation, and Applications
- Quadrilateral Square – Definition, Properties, and Examples
- r P n – Definition, Properties, Applications, and Examples
- Rachel has good Distant vision but has a touch of Presbyopia. Her near point is $0.80$ m.
- Radians to Revolutions – Definition and Examples
- Range of Square Root Function – Understanding its Limits and Behavior
- Rational Root Theorem – Explanation & Examples
- Real Number System – A Comprehensive Guide
- Rectangle has area 16 m^2. Express the perimeter of the rectangle as a function of the length of one of its sides.
- Recursive Formula – Definition, Formula, and Examples
- Redexes – Definition, Applications, and Examples
- Reflection Function – Explanation and Examples
- Reflexive Property Geometry – Understanding Self-Similarity in Shapes
- Relative Extrema – Definition, Properties, and Examples
- Resolve the force F2 into components acting along the u and v axes and determine the magnitudes of the components.
- Reverse Triangle Inequality – Definition and Examples
- Right Prism: Definition, Explanation and Examples
- Rigid Transformation – Definition, Types, and Examples
- Rolle’s Theorem – Explanation and Examples
- Rounding the Mean – Definition, Applications, and Examples
- Sampling Variability – Definition, Condition and Examples
- Scalar and Vector Projections – Definition and Examples
- Scalar Triple Product – Definition, Properties, and Examples
- Secant Circle – Definition, Properties, and Examples
- Second Derivative Implicit Differentiation – Definition and Properties
- Select which of the following standard enthalpy of formation values is not zero at 25°C:
- Shape of Distribution – Definition, Features, and Examples
- Show that if A^2 is the zero matrix, then the only eigenvalue of A is 0.
- Show that the equation has exactly one Real root 2x+cosx=0.
- Side Splitter Theorem – Rules, Application and Examples
- Similar Triangles Proofs – Definition and Examples
- Simple Algebra Problems – Easy Exercises with Solutions for Beginners
- Sin^-1 x – Detailed Explanation and Examples
- Sketch the vector field f by drawing a diagram like this figure. f(x, y) = (yi + xj)/(x2 + y2)
- Solve differential equation ty’+(t+1)y=t , y(ln2)=1 , t>0
- Solve Initial Value Problem-Definition, Application and Examples
- Solve the differential equation by variation of parameters. y” + y = sin x.
- Solve the equation explicitly for y and differentiate to get y’ in terms of x.
- Solve the Quadratic Equation 4x²-5x-12=0
- Solving 1 Divided by Infinity
- Solving Linear Equations with Variables on Both Sides: A Step-by-Step Guide
- Square Degrees: A Detailed Guide to This Measurement
- Square Pyramid – Definition, Geometry, and Applications
- Square Root Function Domain and Range – Understanding the Basics
- State how many mole ratios can be written for chemical reaction involving three substances.
- Substitution Method Algebra – Step-by-Step Examples and Solved Problems
- Sum of Functions – Definition, Applications, and Examples
- Suppose that f(5)=1, f'(5)=6, g(5)=-3, and g'(5)=2. Find the following values of (fg)'(5), (f/g)'(5), and (g/f)'(5).
- Suppose that the height in inches of a 25-year-old man is a normal random variable with parameters μ=71 and σ^2=6.25.
- Suppose that X is a normal random variable with mean 5. If P(X>9)=0.2, approximately what is Var(X)?
- Suppose you have 1.0 mol of O_2 gas. How many coulombs of positive charge are contained in the atomic nuclei of this gas?
- Survey of Calculus – Understanding the Basics and Its Difficulty Level
- Synthetic Substitution Made Easy – Accelerate Polynomial Analysis
- Tan in Geometry – Understanding the Tangent Function Basics
- Taylor Expansion of e^x – Definition and Examples
- Telescoping Series – A Comprehensive Guide
- The ‘Therefore’ Math Symbol Explained – Decoding Mathematical Logic
- The Absolute Value of -4: Definition and Other Examples
- The Alternating Series Error Bound – Applications and Examples
- The asteroid belt circles the sun between the orbits of Mars and Jupiter.
- The base of S is an elliptical region with boundary curve 9x^2+4y^2=36. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base. Find the volume of the Solid.
- The components of a velocity field are given by u= x+y, v=xy^3 +16, and w=0. Determine the location of any stagnation points (V=0) in the flow field.
- The constant-pressure heat capacity of a sample of a perfect gas was found to vary with temperature according to the expression. Calculate q, w H and U when the temperature is raised from 25 degree to 100 degree.
- The current in a 50 mH inductor is known to be
- The deepest point in the ocean is 11 km below sea level, deeper than MT. Everest is tall. What is the pressure in atmospheres at this depth?
- The density of acetic anhydride is 1.08 g/mL. How many moles are contained in 5 mL. Please show in detail how the answer was obtained.
- The diffuser in a jet engine is designed to decrease the kinetic energy of the air entering the engine compressor without any work or heat interactions. Calculate the velocity at the exit of a diffuser when air at 100 kPa and 30 C enters it with a velocity of 355m/s and the exit state is 200 kPa and 90C.
- The Domain of ln(x): The Natural Logarithm
- The earth’s radius is 6.37×106 m; it rotates once every 24 hours.
- The electric potential at a point that is halfway between two identical charged particles is 300 V. What is the potential at a point that is 25% of the way from one particle to the other?
- The Elliptic Paraboloid-Definition, Geometry With Examples
- The figure shows a laser beam coming from the left, deflected by a 30-60-90 prism. What is the prism’s index of refraction?
- The Gram-Schmidt Process-Definition, Applications and Examples
- The graph of a function f is shown. Which graph is an antiderivative of f?
- The Humber bridge in England has the World’s longest single span, 1410 m .
- The Hyperbolic Paraboloid-Definition, Geometry With Examples
- The Hyperboloid-Definition, Geometry, and Applications
- The Hypersphere-Understanding Dimensions Beyond Three
- The joint density of x and y is f(x y)=c(x^2-y^2)e^{-x}. Find the conditional distribution of Y, given X=x.
- The Linear Equation: ax+by=c Explained
- The matter is more likely to exist in the ________ state as the pressure is increased or temperature is decreased.
- The Mean Value Theorem for Integrals – Applications and Examples
- The Method of Undetermined Coefficients – A Systematic Approach
- The minute hand of a certain clock is 4 in long, Starting from the moment when the hand is pointing straight up, how fast is the area of the sector that is swept out by the hand increasing at any instant during the next revolution of the hand?
- The missing number in the series 9, ? , 6561, 43046721 is: 81, 25, 62, 31, 18.
- The molar solubility of pbBr2 at 25 °C is 1.0×10−2mol/l. Calculate ksp.
- The next number in the series 38, 36, 30, 28, 22 is ?
- The next number in the series 38, 36, 30, 28, 22 is?
- The Nonagon – A Comprehensive Guide
- The Normal Line – Definition, Applications, and Examples
- The Octagon – Definition, Geometry, and Types with Examples
- The Otto-cycle engine in a Mercedes-Benz SLK230 has a compression ratio of 8.8.
- The Pentagon – Fundamental Properties with Examples
- The probability density function of x the lifetime of a certain type of electronic device
- The Range of Which Function is (2, Infinity)? Exploring Exponential and Linear Graphs
- The Rhombus – Fundamental Concepts, Properties, and Examples
- The Right Triangle – Fundamental Concepts With Examples
- The solid lies between planes perpendicular to the x-axis at x=-1 and x=1.
- The solubility of copper (I) chloride is 3.91 mg per 100.0 ml of solution. Calculate the value of K_sp.
- The speed of sound in air at 20 C is 344 m/s
- The Test Point Method: A Detailed Guide
- The three balls each weigh 0.5 lb and have a coefficient of restitution of e = 0.85. If ball A is released from rest and strikes ball B and then ball B strikes ball C, determine the velocity of each ball after the second collision has occurred. The balls slide without friction.
- The three masses shown in the figure are connected by massless, rigid rods. Find the moment of inertia about an axis that passes through mass A and is perpendicular to the page. Express your answer to two significant figures and include the appropriate units. Find the moment of inertia about an axis that passes through masses B and C. Express your answer to two significant figures and include the appropriate units.
- The three masses shown in the figure are connected by massless, rigid rods. Find the moment of inertia about an axis that passes through masses B and C.
- The two intervals (114.4, 115.6) is confidence interval for mean value defined as true average resonance frequency (in hertz) for all tennis rackets of a certain type. What is the value of the sample mean resonance frequency?
- The velocity function (in meters per second) is given for a particle moving along a line.
- The Vertical Intercept – Bridging Algebra and Geometry
- The wave speed on a string under tension is 200 m/s. What is the speed if he tension is doubled?
- Three uniform spheres are fixed at positions shown in the figure. Find the magnitude and direction of the force of gravity acting on a 0.055kg mass placed at the origin.
- To throw a discus, the thrower holds it with a fully outstretched arm. Starting from rest, he begins to turn with a constant angular acceleration, releasing the discuss after making one complete revolution. The diameter of the circle in which the discus moves is about 1.8 m. If the thrower takes 1.0 s to complete one revolution, starting from rest, what will be the speed of the discus at release?
- Trapezoid Midsegment – Definition, Properties, and Examples
- Triangle Inside a Circle – Definition, Applications, and Examples
- Triangle Proportionality Theorem – Explanation and Examples
- Triangle Reflection – Definition, Techniques, and Examples
- Triangular Pyramid – Definition, Geometry, and Applications
- Two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls. Suppose that we win 2 for each black ball selected and we lose 2 for each black ball selected and we lose 1 for each white ball selected. Let X denote our winnings. What are the possible values of X, and what are the probabilities associated with each value?
- Two components of a minicomputer have the following joint PDF for their useful lifetimes X and Y:
- Two large parallel conducting plates carrying opposite charges of equal magnitude are separated by 2.20cm.
- Two light bulbs have constant resistances of 400 ohm and 800 ohm. If the two light bulbs are connected in series across a 120 V line, find the power dissipated in each bulb
- Two protons are aimed directly toward each other by a cyclotron accelerator with speeds of 3.50 * 10^5 m/s, measured relative to the Earth. Find the maximum electrical force that these protons will exert on each other.
- Two runners start a race at the same time and finish in a tie.
- Two small spheres spaced 20.0 centimeters apart have equal charges.
- Two snowcats in antarctica tow a housing unit to a new location at McMurdo Base, Antarctica. The sum of the forces Fa and Fb exerted on the unit by the horizontal cables is parallel to the line L. Determine Fb and Fa + Fb.
- U Substitution Definite Integrals – Definition and Examples
- Undefined Terms in Geometry – Laying the Foundation of Geometric Principles
- Understanding Annulus in Geometry – A Comprehensive Guide
- Understanding Trapezoids – Properties, Types, and Applications
- Uniform Continuity – Definition and Examples
- Unlocking the Secrets of Wronskians – A Comprehensive Study
- Unpolarized light with intensity I₀ is incident on two polarizing filters. Find intensity of the light after passing through second filter.
- Upside Down U in Math- Detailed Explanation
- Use a direct proof to show that the product of two odd numbers is odd.
- Use a double integral to find the area of the region. The region inside the cardioid r = 1 + cos(θ) and outside the circle r = 3 cos(θ).
- Use a double integral to find the area of the region. The region inside the circle (x-5)^2+y^2=25 and outside the circle x^2+y^2=25.
- Use definition 2 to find an expression for the area under the graph of f as a limit. Do not evaluate the limit.
- Use the Distributive Property To Remove the Parentheses
- Use the row of numbers shown below to generate 12 random numbers between 01 and 99. 78038 18022 84755 23146 12720 70910 49732 79606 Starting at the beginning of the row, what are the first 12 numbers between 01 and 99 in the sample?
- Use the table of values of f(x, y) to estimate the values of fx(3, 2), fx(3, 2.2), and fxy(3, 2).
- Using the two equations E=hv and c=lambda v derive an equation expressing E in terms of h,c and lambda.
- Using Trigonometry to Find Lengths – A Simplified Guide
- Variance of XY – Definition, Applications, and Examples
- Vector Translation – Definition, Properties, and Applications
- Vertex Formula: Complete Definition, Examples, and Solutions
- Vertical Angles Theorem – Definition, Applications, and Examples
- Viewed from a point above the north pole, is the angular velocity positive or negative?
- Volume of a Parallelepiped – Definition, Properties With Examples
- Water is pumped from a lower reservoir to a higher reservoir by a pump that provides 20 kW of shaft power. The free surface of the upper reservoir is 45 m higher than that of the lower reservoir. If the flow rate of water is measured to be 0.03 m^3/s, determine mechanical power that is converted to thermal energy during this process due to frictional effects.
- What are the dimensions of the lightest open-top right circular cylinder can hold a volume of 1000 cm^3 ?
- What Do You Learn in 10th Grade Math? Advancing Through Algebra and Geometry
- What Do You Learn in 3rd Grade Math? Key Concepts and Skills
- What Do You Learn in 4th Grade Math? Building Blocks of Intermediate Arithmetic
- What Do You Learn in 5th Grade Math? A Journey Through Numbers and Shapes
- What Do You Learn in 6th Grade Math? A Complete Guide
- What Do You Learn in 7th Grade Math? A Comprehensive Guide
- What Do You Learn in 9th Grade Math? Navigating the World of Algebra and Geometry
- What Do You Learn in Geometry – Key Concepts and Applications Explained
- What Do You Learn in Pre Calculus – Essential Concepts Explained
- What Do You Study in 8th Grade Math? A Complete Guide
- What Does ‘Interpret’ Mean in Math? Deciphering the Numbers
- What Does ‘exp’ Mean in Math? Exploring the Exponential Function
- What does a 1:1 ratio mean?
- What does a 2:1 ratio mean?
- What Does a Dot Mean in Math? A Comprehensive Guide
- What Does Inclusive Mean in Math? A Comprehensive Guide
- What Does Per Mean in Math? A Complete Guide
- What Does the Upside Down T Mean in Geometry? Unveiling Perpendicular Lines
- What Does Triangle ABC Is Similar to Triangle DEF Mean?
- What Does Xer Mean in Math – A Complete Guide
- What Does Zero Slope Mean? How To Calculate Zero Slope
- What Grade Do You Learn Geometry – Unraveling the Math Curriculum
- What Grade Do You Learn Trigonometry – Unraveling the Mathematics Journey
- What Is -b/2a and Why Is It Important in Math?
- What is 0 on a Graph? Explanation and Examples
- What is 10∠ 30 + 10∠ 30? Answer in polar form. Note that the angle is measured in degrees here.
- What is 20 percent of 50?
- What Is 2i and the Other Forms of Complex Numbers
- What Is 2i Equal To? – Imaginary and Complex Numbers
- What is 69 percent of 35 + Solution With Free Steps.
- What Is a Discrete Function – Your Easy Guide to Understanding Mathematics Basics
- What Is a Fact Family in Math? Exploring the Basics of Number Relationships
- What is a Frequency distribution of qualitative data and why is it useful?
- What is a Linear Pair in Geometry – Understanding Angles and Their Relationships
- What Is a Non-Continuous Function? Understanding Discontinuities in Math
- What Is a Quartic Function with Only Two Real Zeros, x = –4 and x = –1 – Understanding Polynomial Functions
- What is After Calculus – Exploring Advanced Mathematical Concepts
- What is an advantage of using a stem-and-leaf plot instead of a histogram? What is the disadvantage?
- What is Business Calculus – An Essential Tool for Decision-Making
- What is Calculus 4?
- What is College Algebra – A Beginner’s Guide to Understanding the Basics
- What Is Contemporary Math? A Beginner’s Guide
- What is d/dx? A Detailed Explanation
- What is dx in Calculus – Understanding the Basics of Differential Notation
- What is Intermediate Algebra – Your Friendly Guide to Advanced High School Math
- What Is Longest Math Equation – A Comprehensive Guide
- What Is n Choose 2?
- What is Parent Exponential Function? Understanding the Basics
- What Is Tan in Trigonometry? Exploring the Tangent Function
- What is the acceleration of the block when x= 0.160 m?
- What Is the Additive Inverse of a Polynomial?
- What is the angle between the electric field and the axis of the filter?
- What is the block’s speed now?
- What is the Common Difference in an Arithmetic Sequence? Unveiling the Pattern of 7, 3, –1, –5, and Beyond
- What Is the Derivative of Sec2x? A Detailed Guide
- What Is the Derivative of xln x?
- What Is the Difference Between Arithmetic and Geometric Sequences – Understanding with Examples
- What is the difference between f(-x) and -f(x)?
- What Is the Easiest Math in College? – Expert Answer
- What is the electric flux through a spherical surface just inside the inner surface of the sphere?
- What is the flea’s Kinetic Energy as it leaves the ground? A 0.50 mg flea, jumping straight up, reach a height of 30 cm if there were no air resistance. In reality, air resistance limits the height to 20 cm.
- What Is the Integral of Arctan x And What Are Its Applications?
- What is the Inverse of the Function f(x) = 2x + 1? Unveiling the Simple Steps to Find It
- What is the Laplace transform of u(t-2)?
- What is the position vector r(t) as a function of angle Θ(t). Give your answer about R, Θ(t), and the unit vectors x and y corresponding to the coordinate system.
- What is the probability that the sum of the numbers on two dice is even when they are rolled?
- What is the smallest value the angle θ can have with a rope without breaking it.
- What is the speed vgas of the exhaust gas relative to the rocket?
- What is the Sum of Polynomials – A Guide to Adding Algebraic Expressions
- What is the Sum of the Arithmetic Sequence 3, 9, 15… with 36 Terms? – Calculate Your Answer!
- What Is the Sum of the First 11 Terms of the Arithmetic Series with a1=-12 and d=5 – Solving Sequence Problems
- What is the total surface charge qext on the exterior surface of the conductor?
- What is the width of the central bright fringe?
- What Is Unit Form in Math? Understanding Value Representation in Digits
- What is X in Algebra – Unveiling the Mystery of the Unknown Variable
- What is x^0 – Detailed Explanation & Examples
- What Jobs Use Calculus – Exploring Career Paths That Require Mathematical Expertise
- What Jobs Use Geometry – Exploring Careers in Shapes and Spaces
- What Makes a Linear Function – Understanding its Core Characteristics
- What Makes a Rule a Function – Defining Mathematical Relationships
- What Math Do You Take In 11th Grade – A Complete Guide
- What Math Do You Take In 12th Grade – A Complete Guide
- What minimum energy is required to excite a vibration in HCl?
- What’s After Algebra 2 – Exploring Higher-Level Math Courses
- What’s an Arithmetic Sequence – Your Easy Guide to Understanding Simple Patterns in Numbers
- When a honeybee flies through the air, it develops a charge of +16pC.
- When Does a Quadratic Function Have No Real Solution?
- When the current i is positive, the capacitor charge q is decreasing.
- Where is the greatest integer function f(x)= ⌊x⌋ not differentiable? Find a formula for f’ and sketch its graph.
- Which Equation is the Inverse of y=9x²-4 – Exploring the Inverse
- Which Linear Function Has the Steepest Slope? Unraveling the Mystery of Slope Values
- Which of the following expressions are meaningful which are meaningless explain:
- Which one of the following species has as many electrons as it has neutrons?
- Which operation could we perform in order to find the number of milliseconds in a year?
- Which pair of numbers has an LCM of 16
- Which Professionals Most Directly Use Geometry in Their Work? Uncovering the Experts
- Which Relation Is Not a Function? Explanation and Examples
- Which Table Represents a Direct Variation Function: A Full Guide
- Which Table Represents a Linear Function?
- Who Added Letters to Math – A Comprehensive Guide
- Why is Algebra So Hard: Unraveling the Challenges in Learning
- Why is Calculus Important – Unveiling Its Role in Everyday Life
- Why is Geometry Important – Unveiling Its Role in Daily Life
- Write a Polynomial Function with Given Zeros – A Step-by-Step Guide
- Write a reaction that shows what happens when methanol is treated with potassium hydroxide?
- Write an algebraic expression for: 6 more than a number c.
- X as a Function of Y – Understanding the Relationship Between Variables
- y = x Reflection – Definition, Process and Examples
- y = x^2: A Detailed Explanation Plus Examples
- Y as a Function of X Examples – Understanding Mathematical Relationships
- Y intercept: Definition, Formula, and Examples
- Zero Function on Calculator – How to Easily Find and Use It