Pre-Calculus

Practice Questions

Pre-Calculus › Pre-Calculus

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1

Convert the polar coordinates to rectangular coordinates:

$\left(8, \frac{7\pi}{6}\right)$

2

We consider the following matrices:

$A=\begin{bmatrix} 1 & 2 &2 \ 1&2 &2 \1 &2 &2 \end{bmatrix},B=\begin{bmatrix} 1 &2 & 2 &2 \1 &2 &2 & 2\1 &2 &2 &2 \end{bmatrix}$

Find .

3

Add:

$\begin{bmatrix} 11& 9\ 7& -5 \end{bmatrix}+$ $\begin{bmatrix} 6& 9\ 10& 13 \end{bmatrix}$

4

Convert the following rectangular coordinates to polar coordinates:

5

Write a vector equation describing the line passing through P1 (1, 4) and parallel to the vector $\vec{a}$ = (3, 4).

6

Convert the polar coordinates to rectangular coordinates:

$\left(8, \frac{7\pi}{6}\right)$

7

Find the zeros of the function .

8

Given the following function, find the critical numbers:

9

Convert the following rectangular coordinates to polar coordinates:

10

Write the parametric equation for the line y = 5x - 3.

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