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Sullivan 04 apcalc4e 45342 ch02 166 233 5pp August 7, 2023 12:54

226 Chapter 2 • The Derivative and Its Properties

PAGE
219 10. An equation of the line tangent to the graph of f (x) = sin x Free-Response Question
2π PAGE ′′
at x = is 221 11. If y = A sin x + B cos x, find y + y.
3
√ √
(A) 3x + 6y = 4π − 3 3 (B) 3x + 6y = 2π + 3 3
√ √
(C) 6y − 3x = 2π − 3 3 (D) 6y − 3x = 4π − 3 3
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Multiple-Choice Questions
√ 3
1. The graph of a function h is shown in the accompanying figure. 2. lim x − 16 − x =
2
Use the graph to determine which of the following statements x→4 +
are true. (A) −64 (B) −4 (C) 0 (D) 64
I. h is continuous at the number 1.
2
II. h is continuous on the interval [0, 1]. 3. lim x − 5x + 4 =
III. h is continuous from the right at the number 1. x→4 2x − 8
3
y (A) 0 (B) (C) 3 (D) ∞
4 y  h(x) 2
(1, 2)
2 Free-Response Question
4. Find the vertical and horizontal asymptotes, if any, of the graph
22 2 4 x cos x
of the function f (x) = .
22 ln |x|

(A) I only (B) II only
(C) I and II only (D) II and III only

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