Graph each equation. Describe each graph and its lines of symmetry. Give the domain and range for each graph. $x^{2}-y^{2}=25$

Find the slope and $y$-intercept of the line.

$$4 x=9 y-7$$

Solve the logarithmic equation algebraically. Approximate the result to three decimal places.

$$\log x=6$$

Write an equation that has slope $5$ and $y$ intercept $8.$

In the following exercise, verify Stokes's Theorem by evaluating $\int_C \mathbf{F} \cdot \mathbf{T} d s=\int_C \mathbf{F} \cdot d \mathbf{r}$ as a line integral and as a double integral.

$\mathbf{F}(x, y, z)=(-y+z) \mathbf{i}+(x-z) \mathbf{j}+(x-y) \mathbf{k}$

$$S: z=4-x^2-y^2, \quad z \geq 0$$

Find the slope and the y-intercept (if possible) of the line. y=-1

Find the slope and the y-intercept (if possible) of the line. x=4

In this exercise, find the following function value to four decimal places:

$$\sin 80^{\circ}$$

Find the slope and the $y$-intercept. Then sketch a graph.

$$3+y=2 x$$

A carton contains 24 light bulbs, one of which is defective. (a) In how many ways can three bulbs be selected? (b) In how many ways can three bulbs be selected if one is defective?

How many inches are in $5 \frac{1}{2}$ yards? A) $15 \frac{1}{2}$ B) $16 \frac{1}{2}$ C) 66 (D) 198

Find each of the following using a calculator. Round to four decimal places.

$$\log 0.234$$

Graph the functions f(x)=$\pm 1 / x ^ { 2 }$, g(x)=(cos x)/$x^2$, and h(x)=$\left( \cos ^ { 2 } x \right) / x ^ { 2 }$. Without evaluating integrals and knowing that $\int _ { 1 } ^ { \infty } f ( x ) d x$ has a finite value, determine whether $\int _ { 1 } ^ { \infty } g ( x ) d x$ and $\int _ { 1 } ^ { \infty } h ( x ) d x$ have finite values.

Find the slope and $y$-intercept of the line.

$$4 x+14 y=21$$