AP Calculus BC Practice Test 33

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Question 9 questions

Time 18 minutes

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1. Which of the following statements about the graph of is (are) true?

I. The graph has no horizontal asymptote.

II. The line x = 2 is a vertical asymptote.

III. The line y = x + 2 is an oblique asymptote.

2. The only function that does not satisfy the Mean Value Theorem on the interval specifiedis

3.

4.

A cylindrical tank, shown in the figure above, is partially full of water at timet = 0, when more water begins flowing in at a constant rate. The tank becomes halffull when t = 4, and is completely full when t = 12. Let h represent the height of the water at time t. During which interval is increasing?

5.

The graph of function f shown above consists of three quarter-circles.

Which of the following is (are) equivalent to

I.

II.

III.

6. The base of a solid is the first-quadrant region bounded by and each cross section perpendicular to the x-axis is a semicircle with a diameter in the xy-plane. The volume of the solid is

7. The average value of f (x) = 3 + |x| on the interval [-2, 4] is

8. The area inside the circle r = 3 sin θ and outside the cardioid r = 1 + sin θ is given by

9. Let

Which of the following statements is (are) true?

I. f is defined at x = 6.

II. exists.

III. f is continuous at x = 6.