Write two to three paragraphs to answer. What is the author’s perspective on writing in general? Give at least three examples of images or word choices in this essay that reveal his perspective, and explain how they do so.

A company's revenue from car sales, C (in thousands of dollars), is a function of advertising expenditure, a, in thousands of dollars, so C = f(a). (a) What does the company hope is true about the sign of f'? (b) What does the statement f'(100) = 2 mean in practical terms? How about f'(100) = 0.5? (c) Suppose the company plans to spend about $100,000 on advertising. If f'(100) = 2, should the company spend more or less than$100,000 on advertising? What if f'(100) = 0.5?

Graph the step function

$$f ( x ) = \left\{ \begin{array} { l l } { 2 , } & { - 3 \leq x < 1 } \\ { 5 , } & { 1 \leq x < 4 } \\ { 8 , } & { 4 \leq x < 6 } \\ { 9 , } & { 6 \leq x < 10 } \end{array} \right.$$

What central idea does the Declaration of the Rights of Man share with the American Declaration of Independence?

Factor each trinomial. Check your answer.

$$5 x ^ { 2 } - 9 x - 2$$

Use the numbers 63, 7, and 9 to form two multiplication facts and two division facts.

Tell whether the function represents exponential growth or exponential decay. Identify the percent increase or decrease. Then graph the function.

$$f ( x ) = ( 0.2 ) ^ { x }$$

Find all the local maxima, local minima, and saddle points of the function.

$$f ( x , y ) = x ^ { 4 } + y ^ { 4 } + 4 x y.$$

find approximate values of the solution of the given initial value problem at t=0.5, 1.0, 1.5, and 2.0.(a) Use the Euler method with h=0.025.(b) Use the Euler method with h=0.0125.(c) Use the backward Euler method with h=0.025.(d) Use the backward Euler method with h=0.0125.y'=0.5−t+2y,y(0)=1

Lamar’s summer job is mowing lawns for a landscaper. His pay is $7.50/h. Lamar also makes$11.25/h for any time over 40 h that he works in one week. He worked 40 h last week plus n overtime hours and made $339.38. How many overtime hours did he work?

Write the numeral as an Egyptian numeral. 3,235,614

For sport, a 12 kg armadillo runs onto a large pond of level, frictionless ice. The armadillo’s initial velocity is 5.0 m/s along the positive direction of an x axis. Take its initial position on the ice as being the origin. It slips over the ice while being pushed by a wind with a force of 17 N in the positive direction of the y axis. In unit vector notation, what are the animal’s (a) velocity and (b) position vector when it has slid for 3.0 s?

Identify and briefly describe the surfaces defined by the following equations. y=

$$x ^ { 2 } / 6 + z ^ { 2 } / 16$$

Calculate the work needed to lift a 90-N block of Ice a vertical distance of 3 m. What PE does it have?