Title AP Calc BC 2016 MCQs.pdf ✅

AP® Calculus BC Exam SECTION I: Multiple Choice 2016 DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO. At a Glance Total Time 1 hour, 45 minutes Number of Questions 45 Percent of Total Score 50% Writing Instrument Pencil required Part A Number of Questions 28 Time 55 minutes Instructions Electronic Device None allowed Part B Number of Questions 17 Time 50 minutes Electronic Device Graphing calculator required Section I of this exam contains 45 multiple-choice questions and 4 survey questions. For Part A, fill in only the circles for numbers 1 through 28 on page 2 of the answer sheet. For Part B, fill in only the circles for numbers 76 through 92 on page 3 of the answer sheet. The survey questions are numbers 93 through 96. Indicate all of your answers to the multiple-choice questions on the answer sheet. No credit will be given for anything written in this exam booklet, but you may use the booklet for notes or scratch work. After you have decided which of the suggested answers is best, completely fill in the corresponding circle on the answer sheet. Give only one answer to each question. If you change an answer, be sure that the previous mark is erased completely. Here is a sample question and answer. Use your time effectively, working as quickly as you can without losing accuracy. Do not spend too much time on any one question. Go on to other questions and come back to the ones you have not answered if you have time. It is not expected that everyone will know the answers to all of the multiple-choice questions. Your total score on the multiple-choice section is based only on the number of questions answered correctly. Points are not deducted for incorrect answers or unanswered questions. Form I Form Code 4LBP6-S 68
AAAAAAAAAAAAAAAAA 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 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 1 f - or with the prefix “arc” (e.g., 1 sin arcsin x - = x ).
AAAAAAAAAAAAAAAAA AAAAAAAAAAAAAA Unauthorized copying or reuse of any part of this page is illegal. GO ON TO THE NEXT PAGE. -4- 1. ( ) 2 1 1 lim x sin x Æ px - is (A) -2 (B) 2 p - (C) 0 (D) 2 p (E) nonexistent 2. For time t > 0, the position of a particle moving in the xy-plane is given by the vector 1 3 , t e t . What is the velocity vector of the particle at time t = 2 ? (A) 1 6 , 2 e (B) 1 6 , 4 e (C) 1 6 , 3 4 e (D) 1 6 , 4 - e (E) 1 6 , 3 4 - e
AAAAAAAAAAAAAAAAA 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. Consider the series 1 n n a = • Â . If 1a = 16 and 1 1 2 n n a a + = for all integers n ≥ 1, then 1 n n a = • Â is (A) 0 (B) 2 (C) 17 (D) 32 (E) divergent 4. If ( )5 , 1 = + x y x then = dy dx (A) ( 4 5 1 + x) (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 + + x x x 1)