(a) How is Bottom transformed? (b) Is Bottom aware of his transformation? Explain. (c) Does the transformation alter Bottom's personality as well as his appearance? Why or why not?

A quadratic relation has roots 0 and -6 and a maximum at (-3, 4). Determine the equation of the relation.

Either evaluate the given improper integral or show that it diverges. $\int_{0}^{+\infty} x^{2} e^{-x} d x$

In "When I Think of Tamir Rice While Driving", trace the emotions the speaker has throughout the poem. What diction choices does the speaker use to describe how he feels and/or how he was impacted by the death of Tamir Rice? What do these emotions suggest about the speaker?

Use the given information about the angle $\theta$ to find the exact value of a. $\sin 2 \theta .$ b. $\cos 2 \theta .$ c. $\tan 2 \theta.$ $\tan \theta = - 2 , \frac { \pi } { 2 } < \theta < \pi$

Find the arc length of the curve over the given interval. $r=6 \cos \theta, 0 \leq \theta \leq 2 \pi.$ Check your answer by geometry.

Mentally calculate each quotient. Write each answer as a decimal number.

$$2.5\div100$$

Metabolic activity in the human body releases approximately $1.0\times10^4\;\mathrm{kJ}$ of heat per day. Assume that a 55-kg body has the same specific heat as water; how much would the body temperature rise if it were an isolated system? How much water must the body eliminate as perspiration to maintain the normal body temperature (98.6 °F)? Comment on your results. (The heat of vaporization of water is 2.41 kJ/g.)

Simplify each product. Use an area model as needed.

$$2 x ( 3 x + 1 )$$

An epidemic hits a city. Each person is classified by the Health Department as either well, sick, or a carrier. The proportion of people in each category by age groups is given by the matrix

$$\begin{array}{lll}{0-15} & {16-35} & {\text { Over } 35} \\ {\text { Sick }} & {0.25} & {0.60} & {0.70} \\ {\text { Sick }} & {0.25} & {0.35} & {0.20} \\ {\text { Carrier }} & {0.10} & {0.05} & {0.10}\end{array} ]=A$$

The population of the city by age and gender is

$$\begin{array}{lll}{0-15} & {35,000} & {30,000} \\ {16-35} & {55,000} & {50,000} \\ {\text { Over } 35} & {70,000} & {75,000}\end{array} ]=B$$

(a) Compute AB. Interpret the meaning of the entries in AB. (b) How many sick males are there? (c) How many females are well?

(A) Identify the type of equation or inequality (some may fit more than one category). (B) Solve the equation or inequality. Write the solution sets to the inequalities in interval notation if possible.

$$(2p+1)(p+5)=2p+40$$

How would you say 'tools' in Spanish?

A basketball team scored 43, 55, 41, and 37 points in their first four matches. Find the mean number of points scored for the first four matches.

A and B are events for which P(A) = 0.3 + x, P(B) = 0.2 + x, and $P(A \cap B)=x$. Find x if A and B are mutually exclusive events.