Find the derivatives of the given functions.

$$y =\sqrt{x^2+1}-\ln \frac{1+\sqrt{x^2+1}}{x}$$

Should the multiple regression equation be used for predicting the LDL cholesterol level based on weight and diastolic blood pressure? Why or why not?

How are computers used in pavement management?

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

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

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

Our Organization's bylaws state the following: "The Secretary of the Association will submit an agenda two weeks before each meeting." _________

Draw the trajectories of seven rays that leave the object heading toward the seven dots on the boundary. Assume $n_2<n_1$ and $\theta_{{c}}=45^{\circ}$.

Based on background knowledge you acquired in Act I and earlier in Act II, what chance do you think Elizabeth stands in defending herself against Abigail's accusations? Explain, providing supporting evidence.

Evaluate the derivatives of the given functions at the given points.

$$3x^3 y^2 - 2y^3 = -4; (1, 2)$$

The vertices of a triangle are A(2, 5), B(1, 2), and C(3, 1). Find the coordinates of the image after the transformations given. Reflect in the x-axis, and then rotate $90^{\circ}$ counterclockwise about the origin.

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?

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).

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

Tom Kayler, who owns a Construction Services Company, now gets all his mail delivered Online. ______

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?

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?