# A 3 b 1 3 c 1 3 d 3 2 e 3 0 x a a a a a a a a a a a a

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(A) 3-(B) 13-(C) 13(D) 32(E) 3
0,>xA 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. -19- 26. For 2111=+Úxddtdxt(A) (121+x)x(B) ()121+xx(C) 11+x(D) 1+xx(E) 11+x
2x2sinx2-1-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. -20- 27. What is the coefficient of in the Taylor series for about x=0 ?(A) (B) (C) 0 (D) 1 (E) 2 ( )53=+h xxx2-( )1=h21-h()( )12-¢h183181228. The function his given by and .If is the inverse of h, what is the value of ?(A) (B) (C) (D) 1 (E) 8
(f x)1f-1sinarcsinx-=(e.g., )xBBBBBBBUnauthorized copying or reuse of any part of this page is illegal.GO ON TO THE NEXT PAGE. -24- CALCULUS BC SECTION I, Part B Time—50 minutes Number of questions—17 A GRAPHING CALCULATOR IS REQUIRED FOR SOME QUESTIONS 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. BE SURE YOU ARE USING PAGE 3 OF THE ANSWER SHEET TO RECORD YOUR ANSWERS TO QUESTIONS NUMBERED 76–92. YOU MAY NOT RETURN TO PAGE 2 OF THE ANSWER SHEET. In this exam: (1) The exact numerical value of the correct answer does not always appear among the choices given. When this happens, select from among the choices the number that best approximates the exact numerical value. (2) Unless otherwise specified, the domain of a functionfis assumed to be the set of all real numbersxfor which is a real number. (3) The inverse of a trigonometric functionfmay be indicated using the inverse function notation or with the prefix “arc” . BB
BBBBBBBUnauthorized copying or reuse of any part of this page is illegal.GO ON TO THE NEXT PAGE. -25- ££1x5( )()1,1f( )(5,5f)76. The figure above shows the graph of the differentiable function ffor .Which of the following could be the x-coordinate of a point at which the line tangent to the graph of fis parallel to the secant line through the points and ?(A) r(B) t(C) u(D) w(E) There is no such point. BB
BBBBBBBUnauthorized copying or reuse of any part of this page is illegal.GO ON TO THE NEXT PAGE. -26- 77. The number of antibodies yin a patient’s bloodstream at time tis increasing according to a logistic differential equation. Which of the following could be the differential equation? (A) 0.025dytdt=(B) ()0.0255000dyttdt=-(C) 0.025dyydt=(D) ()0.025 5000dyydt=-(E) ()0.0255000dyyydt=-BB
BBBBBBBUnauthorized copying or reuse of any part of this page is illegal.GO ON TO THE NEXT PAGE.