Find the sum. 9.6 + 5.49

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

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

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

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 concentration C of a certain drug in a patient’s bloodstream t minutes after injection is given by $C(t)=\frac{50 t}{t^{2}+25}$ (a) Find the horizontal asymptote of C(t). What happens to the concentration of the drug as t increases? (b) Using your graphing utility, graph C = C(t). (c) Determine the time at which the concentration is highest.

Choose the correct answer.

Management is (a) adverse, (b) averse to any decrease in employee health benefits.

Find the sum. -41 + 26

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

Semicolons and colons are always placed outside closing quotation marks.

Find the derivatives of the given functions.

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

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

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.

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

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. _________

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.

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).