In this exercise, find the volume of the solid generated by revolving the plane region bounded by the equations about the indicated line(s).

$$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$

the y-axis (oblate spheroid)

Compare and contrast cleavage and fracture. Give an example of a mineral with cleavage and a mineral with fracture.

Write the Excel binomial formula for each probability.

Seven successes in 50 trials with a 10 percent chance of success.

A solid ball and a hollow ball, each with a mass of $1.00 \mathrm{~kg}$ and radius of $0.100 \mathrm{~m}$, start from rest and roll down a ramp of length $3.00 \mathrm{~m}$ at an incline of $35.0^{\circ}$. An ice cube of the same mass slides without friction down the same ramp. c) What is the speed of the solid ball at the bottom of the incline?

Fill each blank with the word from the list below that best fits the context.

$$\begin{array}{lllll}\text { notwithstanding } & \text { unabridged } & \text { unbiased } & \text { unconcern } & \text { undeceive } \\ \text { underbrush } & \text { underscore } & \text { undersell } & \text { undersigned } & \text { understudy } \\ \text { unnerve } & \text { unquenchable } & \text { unshackle } & \text { unwary } & \text { upcoming } \\ \text { upgrade } & \text { uplift } & \text { upright } & \text { withdrawn } & \text { withhold }\end{array}$$

5. Spurred by their desire for freedom, the prisoners managed to _______ their wrists.

Use the following formula for the given problem: the grade for Steve's English class can be calculated if he takes the sum of his three essay scores and divides that total by 3 , as in the formula $G=(E 1+E 2+E 3) / 3$. Say he got an 80 on the first essay, E1, and he got a 95 on the second essay, E2. What is his grade $G$ if he gets a 70 on his third essay?

Given $f(x)=-x$ and $g(x)=\frac{1}{x}$, find each function and state its domain.

$$f \circ g$$

Let $n$ be any positive integer. Find the inverse function of $f$ if

(a) $f(x) = x^n$ for $x \geq 0$

(b) $f(x) = x^{m / n}$ for $x \geq 0$ and $m$ any positive integer

Plot a graph of the rational function f(x)=$\frac{x^2}{x^2+4}$ and label the coordinates of the stationary points and inflection points. Show the horizontal and vertical asymptotes and label them with their equations. Label point(s), if any, where the graph crosses a horizontal asymptote.

How Hitler began putting his racial program into effect soon after he conquered Poland.

The first excited rotational energy state of the $\mathrm{H}_2$ molecule $\left(g_2=3\right)$ is about $4 \times 10^{-3} \mathrm{eV}$ above the lowest energy state $\left(g_1=1\right)$. What is the ratio of the numbers of molecules in these two states at room temperature ( $300 \mathrm{~K})$ ?

Identify each of the following as a monomial, a binomial, a trinomial, or none of these.

$$-3 x^4+1$$

Factor the trinomials, or state that the trinomial is prime. Check your factorization using FOIL multiplication.

$$x^2 + 5x + 6$$

We see a full Moon by reflected sunlight. How much earlier did the light that enters our eye leave the Sun? The Earth – Moon and Earth-Sun distances are $3.8 \times 10^5$ km and $1.5 \times 10^8$ km, respectively.