Carry out the differentiation.
$\displaystyle \frac{d}{dx}\left(\int_x^{x^2} \frac{dt}{1+t^2}\right)$.

A piston $/$ cylinder has $15\ \mathrm{ft}$ of liquid $70 \mathrm{~F}$ water on top of the piston $(m=0)$ with a cross-sectional area of $1\ \mathrm{ft}^2$. Air let in under the piston rises and pushes the water out over the top edge. Determine the work needed to push all the water out and plot the process in a $P-V$ diagram.

Wire 1 has a current flowing out of the page, $i_{\text {out, }}$ as shown in the figure. Wire 2 has a current flowing into the page, $i_{\mathrm{m}}$. What is the direction of the magnetic field at point $P$ ? a) upward in the plane b) to the right c) downward in the of the page plane of the page d) to the left e) The magnetic field at point $P$ is zero.

An urn contains four green and three blue balls. You take one ball out of the urn, note its color, and replace it. You then take a second ball out of the urn, note its color, and replace it. If A denotes the event that the first ball is green and B denotes the event that the second ball is green, determine whether A and B are independent.

Remember to use the largest common factor and to check by multiplying. Factor out a negative factor if the first coefficient is negative.

$$8 x+24$$

Study the entries and answer the question that follows.

The root cant means "sing."

The root clam means "shout."

The prefix in-means "in," "on," or "onto."

The prefix re- means "back."

The prefix ad- means "toward."

The prefix de- means "down from."

The suffix-ment means "result of."

If ex-means "out," then the word means "to shout out suddenly."

According to the American Red Cross, about one out of nine people in the U.S. have Type B blood. Suppose the blood types of people arriving at a blood drive are independent. In this case, the number of Type B blood types that arrive roughly follows the Poisson distribution.

What is the probability that over 10 people out of these 100 have type B blood?

In $2010$, there were $40$ million people over $65$ years of age out of a U.S. population of $310$ million. By $2050$, it is estimated that there will be $82$ million people over $65$ years of age out of a U.S. population of $439$ million. Would your chances of meeting a person over $65$ at random be greater in $2010$ or $2050$? Explain.

For each of the following sentences, write the correct form of the italicized verb in parentheses.

She (fing) open the door and raced out of the house.

On the lines provided, write each italicized modifier in the form described in parentheses. Jerome turned out to be --- the archer in the class. (accurate, superlative)

Read each sentence and decide if the underlined number should be spelled out. If it should, write the spelled-out form above it. If the number is already correct, write $C$ above it.

Example 1. $\underline{152}$ (One hundred fifty-two) students auditioned for the marching band.

Mai needs to be at the auditorium by $\underline{6:00}$ P.M. for rehearsal.

How would the income effect of a price change be demonstrated by a $10 reduction in the price of tickets to a concert that resulted in a sell-out crowd?

For each of the following sentences, add apostrophes where needed. Cross out apostrophes that are not needed.

Theres a list of names' for each coast.

Do you think the grape boycott would have turned out differently if strikers had used violent tactics? Explain.