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 BC 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 functionfis assumed to be the set of all real numbersxfor which ( )f xis a real number. (2) The inverse of a trigonometric functionfmay be indicated using the inverse function notation 1for with the prefix “arc” (e.g., 1sinarcsinxx).

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 3sin,yxthen dydx(A) 3cosx(B) 23cosx(C) 23sinx(D) 23sincosxx(E) 23sincosxx2. The position of a particle moving in the xy-plane is given by the parametric equations 323x tttand 2123.y tttAt which of the following points ,x yis the particle at rest?

3, 4

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. -5- 3. The graph of fis shown above for 04.x……What is the value of ?40f xdxÔ(A) 1(B) 0 (C) 2 (D) 6 (E) 12

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. -6- 4. Which of the following integrals gives the length of the curve lnyxfrom 1x to 2 ?x (A) 22111dxxÕÖ×(B) 22111dxxÈØÊÚÕÖ×(C) 2211xedxÔ(D) 2211ln xdxÔ(E) 2211ln xdxÔ5. The Maclaurin series for the function fis given by 0.4nnxf x‡ÇWhat is the value of 3 ?f(A) 3(B) 37(C) 47(D) 1316(E) 4

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. -7-