Barrons AP Calculus - David Bock
(E) none of these The number of inflection points on the graph of f (x) = 3x^5 − 10x^3 is (A) 4 (B) 3 (C) 2 (D) 1 (E) 0 Suppose ...
(A) concave downward (B) concave upward (C) linear (D) point of inflection (E) none of these The value of c for which has a loc ...
The local linearization of H(x) near x = 3 is H(x) (A) −2x + 8 (B) 2 x − 4 (C) −2x + 4 (D) 2 x − 8 (E) 2 x − 2 The table shows ...
(E) 195 Which best describes the behavior of the function at x = 1? (A) It has a jump discontinuity. (B) It has an infinite di ...
(A) 0.304 (B) 39.867 (C) 53.126 (D) 54.088 (E) 108.177 At which point on the graph of y = f (x) shown above is f ′(x) < 0 an ...
(E) At how many points on the interval [0,π] does f (x) = 2 sin x + sin 4x satisfy the Mean Value Theorem? (A) none (B) 1 (C) 2 ...
SECTION II Part A A graphing calculator is required for some of these problems. See instructions A function f is defined on the ...
Part B TIME: 60 MINUTES No calculator is allowed for any of these problems. If you finish Part B before time has expired, you ma ...
Given the function f (x) = e^2 x(x^2 − 2): (a) For what values of x is f decreasing? (b) Does this decreasing arc reach a local ...
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AB Practice Examination 2 SECTION I Part A TIME: 55 MINUTES The use of calculators is not permitted for this part of the examina ...
(E) 0 Using the line tangent to an estimate of f (0.06) is (A) 0.02 (B) 2.98 (C) 3.01 (D) 3.02 (E) 3.03 Air is escaping from ...
(A) (B) (C) (D) (E) 9. (A) = 0 (B) (C) = 1 (D) = 10 (E) does not exist The base of a solid is the first-quadrant region bounde ...
(C) (D) (E) cot x dx equals (A) (B) ln 2 (C) (D) (E) none of these Given f ′ as graphed, which could be a graph of f? (A) I ...
III. M ′′(t) (A) I only (B) II only (C) III only (D) II and III (E) none of these The graph of f is shown above. Let Which of t ...
shown above? (A) y = x^3 (B) (C) (D) y = sin x (E) y = e −x^2 Which of the following functions could have the graph sketched be ...
(E) four During what time interval (in sec) is the speed increasing? (A) 0 < t < 3 (B) 3 < t < 5 (C) 3 < t < ...
The function f (x) = x^5 + 3x − 2 passes through the point (1, 2). Let f −1 denote the inverse of f. Then (f −1) ′(2) equals ( ...
Part B TIME: 50 MINUTES Some questions in this part of the examination require the use of a graphing calculator. There are 17 qu ...
(E) 49 The sketch shows the graphs of f (x) = x^2 − 4x − 5 and the line x = k. The regions labeled A and B have equal areas if ...
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