A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A Unauthorized copying or reuse of any part of this page is illegal. GO ON TO THE NEXT PAGE. -3- CALCULUS AB SECTION I, Part A Time—... 55 minutes Number of questions—28 A CALCULATOR MAY NOT BE USED ON THIS PART OF THE EXAM. Directions: Solve each of the following problems, using the available space for scratch work. After examining the form of the choices, decide which is the best of the choices given and fill in the corresponding circle on the answer sheet. No credit will be given for anything written in the exam book. Do not spend too much time on any one problem. In this exam: (1) Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f x ( ) is a real number. (2) The inverse of a trigonometric function f may be indicated using the inverse function notation f -1 or with the prefix “arc” (e.g., sin arcsin -1 x = x ).A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A Unauthorized copying or reuse of any part of this page is illegal. GO ON TO THE NEXT PAGE. -4- 1. If y x = cos 2 , then dy = dx (A) -2sin 2x (B) -sin 2x (C) sin 2x (D) 2sin 2x (E) 2sin x 2. Ú x x dx 2 3 ( ) - 1 10 = (A) 10 3 4 3 4 Ê ˆ x x Á ˜ Ë ¯ - + x C (B) ( ) 3 1 11 11 - + x C (C) 2 3 ( ) 1 11 11 - + x x C (D) ( ) 3 1 11 33 - + x C (E) 3 3 ( ) 1 11 33 - + x x CA A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A Unauthorized copying or reuse of any part of this page is illegal. GO ON TO THE NEXT PAGE. -5- 3. 4 2 9 1 lim x 4 3 x Æ• x ++ is (A) 1 3 (B) 34 (C) 23 (D) 94 (E) infinite 4. If y = ( ) x x+ 1 5 , then dx dy = (A) 5 1 ( ) + x 4 (B) ( ) 4 4 + 1 x x (C) ( 4 4 5 + 1 x x ) (D) ( 4 6 5 + 1 x x ) (E) ( ( ) 4 6 5 2 1 1 + + x x x [Show More]
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