Christopher S.

According to Salary Wizard, the average base salary for a brand manager in Houston, Texas,
is $\$ 88.592$ and the average base salary for a brand manager in Los Angeles, California, is $\$ 97,417$ (Salary Wizard website, February $27,2008 ) .$ Assume that salaries are normally distributed, the standard deviation for brand managers in Houston is $\$ 19,900,$ and the standard
deviation for brand managers in Los Angeles is $\$ 21,800 .$
a. What is the probability that a brand manager in Houston has a base salary in excess of
$\$ 100,000 ?$
b. What is the probability that a brand manager in Los Angeles has a base salary in excess
of $\$ 100,000 ?$
c. What is the probability that a brand manager in Los Angeles has a base salary of less
than $\$ 75,000 ?$
d. How much would a brand manager in Los Angeles have to make in order to have a
higher salary than 99$\%$ of the brand managers in Houston?

Each limit represents the derivative of some function
$f$ at some number $a .$ State such an $f$ and $a$ in each case.
$$
\lim _{h \rightarrow 0} \frac{(1+h)^{10}-1}{h}
$$

True or False? In Exercises $71-74$ , determine whether
the statement is true or false. Justify your answer.

Predicting Graphical Relationships Use a graphing utility to graph $f, g$ , and $h$ in the same viewing
window. Before looking at the graphs, try to predict how the graphs of $g$ and $h$ relate to the graph of $f .$
(a) $$f(x)=x^{2}, \quad g(x)=(x-4)^{2}h(x)=(x-4)^{2}+3 h(x)=(x-4)^{2}+3$$
(b) $$f(x)=x^{2}, g(x)=(x+1)^{2} h(x)=(x+1)^{2}-2 $$
(c) $$f(x)=x^{2}, \quad g(x)=(x+4)^{2}
h(x)=(x+4)^{2}+2$$

Evaluating Trigonometric Functions. find the exact values of the six trigonometric
functions of the angle $\theta$ for each of the two triangles.
Explain why the function values are the same.

Evaluating Trigonometric Functions. find the exact values of the six trigonometric
functions of the angle $\theta$ for each of the two triangles.
Explain why the function values are the same.

Evaluating Trigonometric Functions. find the exact values of the six trigonometric
functions of the angle $\theta$ for each of the two triangles.
Explain why the function values are the same.