# Questions & Answers

### 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.

This question aims to find the volume of the solid whose base forms an elliptical region. The cross-section perpendicular to the x-axis forms

### Find an explicit description of nul A by listing vectors that span the null space.

begin{equation*} A = begin{bmatrix} 1 & 2 & 3 & -7 \ 0 & 1 & 4 & -6 end{bmatrix} end{equation*} This problem aims to find the

### 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:

What is the electric potential at the point on the x-axis where the electric field is zero? What are the magnitude and direction of the electric

### Find an orthogonal basis for the column space of the matrix given below:

}]This question aims to learn the Gram-Schmidt orthogonalization process. The solution given below follows the step-by-step procedure. In

### Prove that if m and n are integers and m x n is even, then m is even or n is even.

This problem aims to familiarize us with the method of poof. The concept required to solve this problem is related to discrete mathematics, including

### If xy+8e^y=8e , find the value of y” at the point where x=0.

JUMP TO TOPICExpert AnswerExample 1SolutionExample 2SolutionExample 3Solution This question aims to find the value of the second derivative of the

### If xy+6e^y=6e, find the value of y” at the point where x=0.

This question aims to find the second derivative of the given implicit function. A function’s derivatives describe the rate of change of that

### Estimate the angle to the nearest one-half radian.

Figure (1): Angle given in the question statement The aim of this question is to develop the ability to estimate angles to the nearest half radian

### Construct a matrix whose column space contains (1, 1, 5) and (0, 3, 1) while it’s null space contains (1, 1, 2).

This question aims to understand the construction of a matrix under given constraints. To solve this question, we need to have a clear understanding

### Find the rate of change of f at p in the direction of the vector u.

This question aims to find the rate of change or gradient and projections of vector spaces onto a given vector. Gradient of a vector can be found

### Each limit represents the derivative of some function f at some number a.

Find the number $a$ and the function $f$ given the following limit: The aim of this question is to learn the differentiation (calculation of

### Describe all solutions of Ax=0 in parametric vector form, where A is row equivalent to the given matrix.

This problem aims to get us familiar with vector solutions. To better understand this problem, you should know about the homogeneous equations,