Find the derivatives of the functions in the ff exercise.

$$v=(1-t)(1+t^2)^{-1}$$

Respond to the following questions using the previous story:

(a) In "En el Jardin De Los Espejos Quebrados ...," what kinds of marks disfigure Caliban's body?

(b) Analyze What do these marks suggest about Caliban's supposed ugliness?

Indicate whether the following statement is true (T) or false (F).

Semicolons and colons are always placed before closing quotation marks.

Use proofreading marks to correct any capitalization errors in the following sentence. Indicate the total number of changes at the right.

Can you stay late tonight to work on this project? no, not tonight. _________

Use transformations of the graph of $y = x^4$ or $y = x^5$ to graph each function. Verify your results using a graphing utility. $f(x)=(x+2)^{4}-3$

Graph each function on the interval $[-2 \pi, 2 \pi]$. For the trigonometric functions, explain how the graphs are transformations of $y=\sin x$ or $y=\cos x$.

$$H(x)=-\frac{1}{3} \sin x$$

Express each quadratic function in the form $f(x)=a(x-h)^2+k$. Then use transformations of the graph of $f(x)=x^2$ to graph each function.

$$f(x)=-\frac{1}{2} x^2+4 x-2$$

Graph each function over the interval $[-2 \pi, 2 \pi]$. Explain how the graphs are transformations of $y=\sin x$ or $y=\cos x$.

$$g(x)=3 \cos \left(x+\frac{\pi}{4}\right)$$

Evaluate the expression. -6 + 3 - (-1) + 11

The data is below:

$$\begin{array}{r|rrrrr} x_i & 2 & 6 & 9 & 13 & 20 \\ \hline y_i & 7 & 18 & 9 & 26 & 23 \end{array}$$

The estimated regression equation for these data is $\hat{y}=7.6+.9 x$. What percentage of the total sum of squares can be accounted for by the estimated regression equation? What is the value of the sample correlation coefficient?

Using what you have learned about transformations of the graph $y=\frac{1}{x}$, can you find the equations of the asymptotes of the function $f(x)=\frac{p}{c x+d}+q$, and hence state the domain and range?

What evidence indicates that some asteroids once had geologically active surfaces?

Use proofreading marks to correct any capitalization errors in the following sentence. Indicate the total number of changes at the right.

Regulations of the sarbanes-oxley act of 2002 resulted in costly expenses for our Company. _________

By graphing the function f(x) = (tan 4x)/x and zooming in toward the point where the graph crosses the y-axis, estimate the value of lim x→0 f(x).