# Questions & Answers

### Determine whether each of these functions is a bijection from R to R.

$f(x)= −3x+4$ $f(x)= −3(x)^2+7$ $f(x)= dfrac{x+1}{x+2}$ $f(x)= (x)^5 + 1$ This question aims to find which of the above-mentioned

### Based on the normal model N(100, 16), describing IQ scores. What percent of people’s IQ would you expect to be:

Percentage of population greater than 80. Percentage of population less than 90. Percentage of population between 112 – 132. The question aims

### 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