### Complex number in rectangular form. What is (1+2i)+(1+3i)?

The purpose of this guide is to solve the given set of complex numbers in rectangular form and find their magnitude, angle, and polar form. The basic concept behind this article is the Complex Numbers, their Addition or Subtraction, and their Rectangular and Polar forms. Read moreDetermine whether the equation represents y as a function […]

### Find the points on the cone z^2 = x^2 + y^2 that are closest to the point (2,2,0).

This question aims to explain the concepts of maxima and minima. Formulas to calculate the extreme values of the function. Further, it explains how to calculate the distance between the points. In mathematics, the length of the line segment between the two points is the Euclidean distance between two points. The Pythagorean theorem is used […]

### Prove that if n is a positive integer, then n is even if and only if 7n + 4 is even.

The purpose of this question is to prove that $n$ is a positive and even integer if and only if $7n + 4$ is also even. Even numbers can be equally divided into two pairs or groups and are completely divisible by two. For instance, $2, 4, 6, 8$, and so on are said to […]

### Determine whether the equation represents y as a function of x. x+y^2=3

This question aims to identify whether the given equation represents a function or not. A function is an interpretation, principle, or rule in mathematics that characterizes an association between an independent and a dependent variable. Functions are common in mathematical concepts and are required for the formulation of physical relationships in the scientific disciplines. A […]