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.

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.

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

Calculate the derivatives of the functions. $f(x)=\left[(6.4 x-1)^{2}+(5.4 x-2)^{3}\right]^{2}$

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 $y=\cos x$.

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

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).

How are computers used in pavement management?

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

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

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

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

Semicolons and colons are always placed before closing quotation marks.

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?

Find the sum. 9.6 + 5.49

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

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?