Review for AP Test - AP Calculus Practice Multiple Choice...

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AP Calculus Practice Multiple Choice and FRQ Part 1: Calculator Inactive 1. The function f , whose graph consists of two line segments, is shown above. Which of the following are true for f on the open interval ( 29 , a b ? I. The domain of the derivative of f is the open interval ( 29 , a b II. f is continuous on the open interval ( 29 , a b III. The derivative of f is positive on the open interval ( 29 , a c (A) I only (B) II only (C) III only (D) II and III only (E) I, II, and III 2. The area of the region in the first quadrant between 2 4 y x x = - and the x – axis is (A) 2 2 3 (B) 8 3 (C) 2 2 (D) 2 3 (E) 16 3 x y a b c f
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Problems 3 and 4 refer to the graph shown below. A bug is crawling along a straight wire. The velocity, ( ) v t of the bug at time t , 0 11 t ≤ ≤ is given in the graph above. 3. According to the graph, at what time t does the bug change direction. (A) 2 (B) 5 (C) 6 (D) 8 (E) 10 4. According to the graph, at what time t is the speed of the bug greatest? (A) 2 (B) 5 (C) 6 (D) 8 (E) 10 t v ( t ) 1 2 3 –1 –2 –3 –4 1 2 3 4 5 6 7 8 9 10 11
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Part 2: Calculator Active 5. The average value of the function ( 29 2 x f x e - = on the closed interval [ ] 1,1 - is (A) 0 (B) 0.368 (C) 0.747 (D) 1 (E) 1.494 6. Let f be defined as follows, where 0 a : ( 29 2 2 , for , 0, for . x
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Review for AP Test - AP Calculus Practice Multiple Choice...

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