Title AP Calc BC 2017-MCQ.pdf ✅

AP® Calculus BC Exam SECTION I: Multiple Choice 2017 DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO. Instructions Total Time 1 hour and 45 minutes Number of Questions 45 Percent of Total Score 50% Writing Instrument Pencil required Part A Number of Questions 30 Time 1 hour Electronic Device None allowed Part B Number of Questions 15 At a Glance Time 45 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 30 on page 2 of the answer sheet. For Part B, fill in only the circles for numbers 76 through 90 on page 3 of the answer sheet. Because Part A and Part B offer only four answer options for each question, do not mark the (E) answer circle for any question. The survey questions are numbers 91 through 94. 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 4NBP4-S 68
Time—1 hour Number of questions—30 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA CALCULUS BC SECTION I, Part A NO CALCULATOR IS ALLOWED FOR 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 this exam booklet. 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. −f 1 (2) The inverse of a trigonometric function f may be indicated using the inverse function notation or with the prefix “arc” (e.g., sin −1 x = arcsin x). -3- GO ON TO THE NEXT PAGE.
t t ⌠ 1 ⌡ ⎮ dt = / t C 3 2 52 − + − / t C 2 5 52 − + − AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA 1. If fx = cos 2 () ( − ) 3x 5 , then f x ¢( ) = (A) 6 cos 3( − ) x 5 (B) −3 sin 2 ( −) 3x 5 (C) −2 sin 3 ( − ) ( − ) x 5 cos 3 x 5 (D) −6 sin 3 ( − ) ( − ) x 5 cos 3 x 5 2. (A) (B) (C) (D) / 2 t C 12 − + − t / 2 t 1 2ln + C -4- GO ON TO THE NEXT PAGE.
5 − x If f x( ) = 3 , then f x ¢( ) = x 2 3 2 −4x + 15 x − 2 () 2 3 x + 2 3 2 −2x + 15 x + 2 2 3 () x + 2 3 2 2x − 15 x − 2 2 3 () x + 2 3 2 4x − 15 x + 2 2 3 () x + 2 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA 3. + (A) (B) (C) (D) -5- GO ON TO THE NEXT PAGE.