# 22 calculus questions 1

1.

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Order Paper NowUse your graphing calculator to evaluate . (2 points)

2.

Use your calculator to select the best answer below:

(2 points)

3.

(2 points)

4.

Find . (2 points)

5.

If and , then find . (2 points)

6.

Evaluate . (2 points)

7.

Evaluate . (2 points)

8.

Evaluate . (2 points)

9.

If f is a continuous function with odd symmetry and , which of the following statements must be true? (2 points)

I.

II. There are no vertical asymptotes.

III. The lines y = 6 and y = -6 are horizontal asymptotes

10.

What are the horizontal asymptotes of the function ? (2 points)

11.

Which one or ones of the following statements is/are true? (2 points)

I. If the line y = 2 is a horizontal asymptote of y = f(x), then f is not defined at y = 2.

II. If f(5) > 0 and f(6) < 0, then there exists a number c between 5 and 6 such that f(c) = 0.

III. If f is continuous at 2 and f(2)=8 and f(4)=3, then .

12.

Find (2 points)

13.

Evaluate . (2 points)

14.

Which of the following are the equations of all horizontal and vertical asymptotes for the graph of ? (2 points)

15.

Evaluate . (2 points)

16.

Where is discontinuous? (2 points)

17.

Which of the following are continuous for all real values of x? (2 points)

I.

II.

III.

18.

Which of the following must be true for the graph of the function ? (2 points)

There is:

I. a vertical asymptote at x = 3

II. a removable discontinuity at x = 3

III. an infinite discontinuity at x = 3

19.

What is the average rate of change of y with respect to x over the interval [1, 5] for the function y = 4x + 2? (2 points)

20.

What is the instantaneous slope of y = at x = 3? (2 points)

21.

The height, s, of a ball thrown straight down with initial speed 32 ft/sec from a cliff 128 feet high is s(t) = -16t^{2} – 32t + 128, where t is the time elapsed that the ball is in the air. What is the instantaneous velocity of the ball when it hits the ground? (2 points)

22.

The surface area of a right circular cylinder of height 4 feet and radius r feet is given by S(r)=2πrh+2πr^{2}. Find the instantaneous rate of change of the surface area with respect to the radius, r, when r = 4. (2 points)