Prove that each identity holds for all permissible values of x.

$$\begin{array}{l}{\text { a) } 1+\cot ^{2} x=\csc ^{2} x} \\ {\text { b) } \tan x=\csc 2 x-\cot 2 x} \\ {\text { c) } \sec x+\tan x=\frac{\cos x}{1-\sin x}} \\ {\text { d) } \frac{1}{1+\cos x}+\frac{1}{1-\cos x}=2 \csc ^{2} x}\end{array}$$

Find the sum. -41 + 26

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

Use transformations of the graph of $y = \frac { 1 } { x }$ or $y = \frac { 1 } { x ^ { 2 } }$ to graph each rational function f(x). $f ( x ) = \frac { 3 x ^ { 2 } + 18 x + 28 } { x ^ { 2 } + 6 x + 9 }$

Find the derivatives of the functions in the ff exercise.

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

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?

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?

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.

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

Write T (true) or F (false) for the following statement.

Semicolons and colons are always placed outside closing quotation marks.

An element has two naturally occurring isotopes. The isotope has a mass of 62.9396 amu and a relative abundance of 69.17 %, and isotope 2 has a mass of 64.9278 amu.

Find the atomic mass of this element.

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. _________

A baseball is thrown from the outfield toward the catcher. When the ball reaches its highest point, which statement is true?

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?