Ap calc practice test multiple choice

If f ( x) = sec x + csc x, then f′ (x) =. 8. An equation of the line normal to the graph of at (2, 4) is. 9. 10. If f ( x) = cos2x, then f′′ (π) =. AP Calculus AB Practice Test 1. This test contains 10 AP calculus ab practice questions with detailed explanations, to be completed in 20 minutes.

Ap calc practice test multiple choice. Special Session On AP Calculus AB Test || Section A Multiple Choice Questions With AnswersWhat Is on the AP Calculus AB ExamThe most important part of the te...

2012 Practice Test AP Multiple Choice BC answers and solutions Part A no calculator allowed Problems 1-8 Problems 9-14 Problems 15-22 Problems 23-28 Part B calculator allowed Problems 76-85. Problems 86-92. Return to Mr ...

AP ® Calculus AB Exam SECTION I: Multiple Choice 2017 DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO. At a Glance 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 …In today’s digital age, it is not uncommon for households and businesses to have multiple devices connected to the same network. From smartphones and tablets to laptops and smart h...AP® Calculus BC Exam SECTION I: Multiple-Choice Questions DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO. Instructions Section I of this examination contains 45 multiple-choice questions. Fill in only the ovals for numbers 1 through 45 on your answer sheet. CALCULATORS MAY NOT BE USED IN THIS PART OF THE …The 45 multiple-choice questions on the 2018 AP Calculus BC Multiple Choice Exam are split into two parts. Part A has 30 questions, and you can use a graphing calculator for them. Part B, on the other hand, has 15 questions, and you can’t use a calculator for them. The test is timed and takes 1 hour and 45 minutes to finish.Practice Test 1. AP®Calculus AB Exam. SECTION I: Multiple-Choice Questions. DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO. Instructions. Section I of this examination contains 45 multiple-choice questions. Fill in only the ovals for numbers 1 through 45 on your answer sheet. CALCULATORS MAY NOT BE USED IN THIS PART …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−1 x = arcsin x ). -3-.Format of the 2024 AP Calculus BC exam. This year, all AP exams will cover all units and essay types. The 2024 Calculus BC exam format will be: Section 1: Multiple Choice - 50% of your total score. 45 questions in 1 hr 45 mins. Part A: 30 questions in 60 minutes (calculator not permitted). Part B: 15 questions in 45 minutes (graphing calculator ...

AP Precalculus Multiple-Choice Practice Tests. AP Precalculus Practice Test 1: Rates of Change. AP Precalculus Practice Test 2: Polynomial Functions. AP Precalculus …AP Environmental Science Practice Tests. The AP Environmental Science Exam will be 2 hours and 40 minutes long. You will have 90 minutes to answer 80 multiple-choice questions and 70 minutes to answer three free-response …MAKE SURE YOU HAVE USED THE SAME SET OF AP NUMBER LABELS ON ALL AP EXAMS YOU HAVE TAKEN THIS YEAR. -22- Multiple-Choice Answer Key The following contains the answers to the multiple-choice questions in this exam. Answer Key for AP Calculus BC Practice Exam, Section I Question 1: E Question 24: D Question 2: B …He has especially choice words for the companies that make money from testing. In his weekly show, John Oliver took on the absurdity of standardized testing, a series of interminab...In this video I go over MCQ #25-28 from the Multiple Choice Non Calculator Section of the 2014 AP Calculus AB Exam. In this video I go over MCQ #25-28 from the Multiple Choice Non Calculator ... 2020 AP Calculus AB Practice Exam B y : P a t r i c k C o x Original non-secure materials written based on previous secure multiple choice and FRQ questions from the past three years. I wrote this as a way for my students to have access to multiple choice and FRQ since secure materials can’t be used outside of class. 13 in by 26 in. Study with Quizlet and memorize flashcards containing terms like Find all points of relative minima and maxima: y = x^2 + 6x + 5, Find all points of relative minima and maxima: y = -12/ (x^2 + 3), Find the open intervals where the function is concave up and concave down. y = (2x-12)^ (1/3) and more.Varsity Tutors Flashcards. A total of 499 AP Calculus BC multiple choice flashcards. Each card has a practice question and answer explanation. Work through the entire set or pick a specific topic.

Justify your answer. (d) For each of f" (-5) and f “ (3), find the value or explain why it does not exist. AP Calculus AB 2017 Free Response Question 4. 5. Two particles move along the x-axis. For ≤ t ≤ 80, the position of particle P at time t is given by x P (t) = ln (t 2 - 2t + 10 ), while the velocity of particle Q at time t is given ...2020 AP Calculus AB Practice Exam B y : P a t r i c k C o x Original non-secure materials written based on previous secure multiple choice and FRQ questions from the past three years. I wrote this as a way for my students to have access to multiple choice and FRQ since secure materials can’t be used outside of class.Math. Calculus, all content (2017 edition) Unit 8: AP Calculus practice questions. About this unit. Sample questions from the A.P. Calculus AB and BC exams (both multiple …Practice for the AP Exams. The best way to prepare for an AP Exam is to participate in your AP class. It also helps to set aside consistent study time, complete all assignments from your teacher, and become familiar with the exam by practicing with exam questions created by AP. On AP Central, we release the free-response questions for exams ...Category: AP Calculus AB Downloads. File type: PDF. File size: 2 MB. Star level: ★★★★☆. Downloads:. Introduce:. AP Calculus AB Multiple-Choice Practice Quesitons: Limits 1 pdf download. This AP calculus ab practice test contains 21 questions with answers and explanations. Link: download link.1 hour and 45 minutes. Number of Questions. 45. Percent of Total Grade. 50% Writing Instrument. Pencil required. Instructions. Section I of this examination contains 45 …

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Besides the complete practice test, the only official AP Calculus BC multiple choice practice questions are found in the AP Calculus Course and Exam Description. Beginning on page 228 there are 22 multiple-choice questions you can use to practice. The questions include answers and the major skills each question tests. AP® Calculus Multiple-Choice Tips. In this section, we review some specific tips regarding the multiple-choice portions of the AP® Calculus exam. Although some of these may also be extended to the FRQ portion, these tips are more tailored to the multiple-choice questions on the test. 1. Use the Process of Elimination Technique (POE).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.AP Multiple Choice Questions 74. AP Performance Task 75. AP Study Guides 76. AP Review Books 77. AP Course Syllabus 78. AP Course Audit 79. College Board 80. AP Course Ledger 81. AP Exam Fee Reductions 82. AP Pass Rate 83. AP Score Distribution 84. AP Practice Tests 85. AP Worksheets 86. AP Formula Sheets 87. AP Perfect Score …

Wood siding remains one of the most favored siding choices for many homeowners and builders to this day, even with the emergence of other alternative Expert Advice On Improving You...The function f has a Taylor series about x — 1 that converges to f (x) for all x in the interval of convergence. and the nth derivative of f at x — I is given by f (n) (1)If f ( x) = sec x + csc x, then f′ (x) =. 8. An equation of the line normal to the graph of at (2, 4) is. 9. 10. If f ( x) = cos2x, then f′′ (π) =. AP Calculus AB Practice Test 1. This test contains 10 AP calculus ab practice questions with detailed explanations, to be completed in 20 minutes.The AP Calculus BC paper consists of 2 sections and the format is exactly the same as for the AB exam: Section I multiple choice - 45 questions | 105 minutes | worth 50% of the exam score. Part A: 28 questions, 55 minutes (non calculator) Part B: 17 questions, 50 minutes (calculator) Section II free response - 6 questions | 90 minutes | worth ...Skill Learning Objective Topic ... limits are equal. ... continuous at x = 3. ... right-hand limits of the derivative equal at x = 3, as follows. ... The solution to ...36. 2012 The College Board. Visit the College Board on the Web: www.collegeboard.org. AP Exam Instructions. the calculator to remove exam questions and/or answers from the …ap-calc.github.io. Part I. Multiple-Choice Questions (5 points each; please circle the correct answer.) ... AP Calculus (BC) Chapter 9 Test Calculators Allowed. Name: Date: Period: 8. Part III. Multiple-Choice Questions (5 points each; please circle the correct answer.) 1. The series X. 1 n=1. p n. p. 1 n. p+2 +1 will converge, provided that (A ...AP® Student Score Distributions released by the College Board report that the mean AP® World History score was 2.61 in 2014, 2.61 in 2015, 2.66 in 2016, 2.76 in 2017, 2.78 in 2018, 2.75 in 2019 and 2.88 in 2020. These scores have been very consistent, but there will likely be a noticeable change in the 2019 when the first group of students ...

AP Calculus AB Multiple-Choice Practice Quesitons: Areas, Volumes, and Average Values. AP Calculus AB & BC Free Response Questions. More AP Calculus AB …

36. 2012 The College Board. Visit the College Board on the Web: www.collegeboard.org. AP Exam Instructions. the calculator to remove exam questions and/or answers from the room may result in the cancellation of AP Exam scores. The AP Calculus AB Exam and the AP Calculus BC Exam should be administered simultaneously.Prepare for the AP* Precalculus Exam with Tracy, a NumWorks Math Teacher in Residence, as she reviews the multiple choice questions from the practice exam fr...AP Calculus AB Multiple Choice 2013 Practice Exam Questions and Solutions Part B Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.2020 AP Calculus AB Practice Exam. B y : P a t r i c k C o x. Original non-secure materials written based on previous secure multiple choice and FRQ questions from the past three years. I wrote this as a way for my students to have access to multiple choice and FRQ since secure materials can’t be used outside of class.AP® Calculus AB Exam SECTION I: Multiple-Choice Questions DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO. Instructions Section I of this examination contains 45 multiple-choice questions. Fill in only the ovals for numbers 1 through 45 on your answer sheet. CALCULATORS MAY NOT BE USED IN THIS PART OF THE EXAMINATION.The AP Calculus AB Exam and the AP Calculus BC Exam should be administered simultaneously. They may be administered in separate rooms, or in the same room if it is more convenient. SECTION I: Multiple Choice! Do not begin the exam instructions below until you have completed the appropriate General Instructions for your group.2020 AP Calculus AB Practice Exam B y : P a t r i c k C o x Original non-secure materials written based on previous secure multiple choice and FRQ questions from the past three years. I wrote this as a way for my students to have access to multiple choice and FRQ since secure materials can’t be used outside of class.Are you preparing for an upcoming test? Multiple choice exams can be tricky, but with the right strategies and preparation, you can boost your test-taking skills and improve your c... This is Part A of the multiple choice section of our free AP Calculus AB practice exam. There are a total of 30 test questions which must be answered within 60 minutes. A calculator may not be used on this part of the AP Calculus multiple choice test. A plane in horizontal (level) flight is travelling at a speed of 500 feet per second. Meet an AP®︎ teacher who uses AP®︎ Calculus in his classroom. 3:26. Bill Scott uses Khan Academy to teach AP®︎ Calculus at Phillips Academy in Andover, Massachusetts, and he’s part of the teaching team that helped develop Khan Academy’s AP®︎ lessons. Phillips Academy was one of the first schools to teach AP®︎ nearly 60 years ago.

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The DMV written test is an important part of obtaining a driver’s license. It is a multiple-choice exam that covers the rules of the road, traffic laws, and safe driving practices....Part B calculator allowed Problems 76-84 Problems 85-92 2012 Practice Test AP Multiple Choice BC answers and solutions Part A no calculator allowed Problems 1-8 Problems 9-14 Problems 15-22 Problems 23-28 Part B calculator allowed Problems 76-85. Problems 86-92. Return to Mr CalculusThe AP Calculus BC exam has 2 sections: Section I contains 45 multiple-choice questions for which you are given 105 minutes to complete. Section II contains 6 free-response questions for which you are given 90 minutes to complete. The total time allotted for both sections is 3 hours and 15 minutes. Below is a summary of the different parts of ...Varsity Tutors Flashcards. A total of 499 AP Calculus BC multiple choice flashcards. Each card has a practice question and answer explanation. Work through the entire set or pick a specific topic.AP® Calculus BC Exam SECTION I: Multiple-Choice Questions DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO. Instructions Section I of this examination contains 45 multiple-choice questions. Fill in only the ovals for numbers 1 through 45 on your answer sheet. CALCULATORS MAY NOT BE USED IN THIS PART OF THE EXAMINATION.This is a series of 133 problem sets with complete video solutions. Ideally you’d spread these over the course of a year, but if you’re studying for the AP exam the problems will be helpful. Here’s the playlist of solutions. Basically all of the questions in the problem sets are based on previous AP exam questions.In today’s digital age, managing multiple email accounts has become a common practice. Whether it’s for personal use, work, or both, having multiple Gmail accounts can help keep yo...Vacationers traveling to parts of Hawaii this summer should anticipate high COVID-19 testing costs and appointment scarcity if they plan to visit multiple islands. Vacationers hopi... 2020 AP Calculus AB Practice Exam. B y : P a t r i c k C o x. Original non-secure materials written based on previous secure multiple choice and FRQ questions from the past three years. I wrote this as a way for my students to have access to multiple choice and FRQ since secure materials can’t be used outside of class. ….

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 or with the.Graphing calculator required Section I of this exam contains 45 multiple-c hoice 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.Two questions. 30 minutes. Calculator required. Part B. Four questions. 60 minutes. No calculator allowed. This can all look a little complicated, but basically, the AP Calculus AB exam consists of four parts. The first two …AP Calculus BC Multiple-Choice Practice Tests Online. AP Calculus BC Practice Test: Basic Limits; AP Calculus BC Practice Test: More Advanced Limits; AP Calculus BC …AP Calc AB Notes. AP Calculus AB. Summaries. 100% (9) Comments. ... AB Practice Test 2017 Part A; AB Practice Test 2017 Part B; MC-01 - AB Practice Test 1; Related Studylists AP CALCULUS. Preview text. ... Section I: Multiple-Choice Questions This is the multiple-choice section of the 2018 AP Exam.AP Precalculus Multiple-Choice Practice Tests. AP Precalculus Practice Test 1: Rates of Change. AP Precalculus Practice Test 2: Polynomial Functions. AP Precalculus …AP® Calculus AB Exam SECTION I: Multiple-Choice Questions DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO. Instructions Section I of this examination contains 45 multiple-choice questions. Fill in only the ovals for numbers 1 through 45 on your answer sheet. CALCULATORS MAY NOT BE USED IN THIS PART OF THE …This is the official AP English Literature practice exam that was released by the College Board in 2012. A valuable resource for test prep that will give you practice with real AP questions. AP Literature Multiple ChoiceSolve the constraint equation for h: Then, substitute h into the equation for surface area, A A: A = 2\pi r^2 + 2\pi r (\frac {1000} {r^2}). A =2πr2+2πr( r21000). Simplify this equation: Find the critical points! Take the derivative of A with respect to r and set it equal to zero to find critical points:Selected values of f(x) are given in. 1. the table above. Use a Left Riemann sum using the subintervals indicated by the table to approximate g(3). Find g’(x) and evaluate g’(3). Using the data in the table, estimate f’(3). Explain why there must be a value of f, on 1 < x < 9 such that f (c) = 4. Ap calc practice test multiple choice, AP® Calculus BC Exam SECTION I: Multiple-Choice Questions DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO. Instructions Section I of this examination contains 45 multiple-choice questions. Fill in only the ovals for numbers 1 through 45 on your answer sheet. CALCULATORS MAY NOT BE USED IN THIS PART OF THE EXAMINATION. , This is Part B of the multiple choice section of our free AP Calculus AB practice exam. There are a total of 15 test questions which must be answered within 45 minutes. A calculator is required for some questions on this part of the AP Calculus AB multiple choice. Question 1. y y y y y = 4 y = 4 x = 3.5 x = 3.5 f(x) = 3 (x + 1)2 + ex f ( x) = 3 ... , 36. 2012 The College Board. Visit the College Board on the Web: www.collegeboard.org. AP Exam Instructions. the calculator to remove exam questions and/or answers from the room may result in the cancellation of AP Exam scores. The AP Calculus AB Exam and the AP Calculus BC Exam should be administered simultaneously. , ASVAB Test: If you are interested in a military career, then you will need to take the ASVAB test. ASVAB Practice Tests has hundreds of free practice questions. AP Practice Exams is a free online directory of practice tests, notes, study guides, videos, and multiple choice questions. A long list of resources for each AP test., Real AP Past Papers with Multiple-Choice Questions. Calculator Disallowed. 1. If f (x) = 5 x, then f ′ (8) = A. 10. B. C. 80. D. 2. is. A. 0. B. C. D. ∞. 3. If f (x) =, then f′ (x) is. A. 1. B. …, Rab. I 7, 1443 AH ... He includes practice problems and sample AP problems, all of which are challenging questions. If you're looking for extra multiple choice ..., Special Session On AP Calculus AB Test || Section A Multiple Choice Questions With AnswersWhat Is on the AP Calculus AB ExamThe most important part of the te..., Practice for the AP Exams. The best way to prepare for an AP Exam is to participate in your AP class. It also helps to set aside consistent study time, complete all assignments from your teacher, and become familiar with the exam by practicing with exam questions created by AP. On AP Central, we release the free-response questions for exams ..., Vacationers traveling to parts of Hawaii this summer should anticipate high COVID-19 testing costs and appointment scarcity if they plan to visit multiple islands. Vacationers hopi..., 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 or with the., When you set up your wireless connection, the router or device that enables the connection is called an access point. The AP name is the name by which other devices list your wirel..., Free practice tests for the TABE can be found on online resources like the testprepreview, studyguidezone and proprofs websites. This test is designed to assess the test taker’s ab..., When you set up your wireless connection, the router or device that enables the connection is called an access point. The AP name is the name by which other devices list your wirel..., AP® Student Score Distributions released by the College Board report that the mean AP® World History score was 2.61 in 2014, 2.61 in 2015, 2.66 in 2016, 2.76 in 2017, 2.78 in 2018, 2.75 in 2019 and 2.88 in 2020. These scores have been very consistent, but there will likely be a noticeable change in the 2019 when the first group of students ..., AP® Calculus BC Exam SECTION I: Multiple-Choice Questions DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO. Instructions Section I of this examination contains 45 multiple-choice questions. Fill in only the ovals for numbers 1 through 45 on your answer sheet. CALCULATORS MAY NOT BE USED IN THIS PART OF THE …, Give students approximately 3 minutes to answer the survey questions. 2018-19 AP Exam Instructions. 46 AP Calculus AB/BC Exams Then say: Close your booklet and put your answer sheet on your desk, faceup. Make sure you have your AP number label and an AP Exam label on page 1 of your answer sheet., The AP Calculus BC exam consists of 45 multiple-choice questions and six free-response questions. The multiple choice and free-response sections each represent 50% of your score. The total exam duration is 3 hours and 15 minutes., By. Shaun Ault. on. February 14, 2017. in. AP. There are 45 problems in the AP Calculus BC Exam multiple choice section. Let’s take a look at the kinds of questions you might see on the test. Below, you can find some information about the format of the test and then a sampling of practice problems with solutions provided at the end., AP Calculus AB Multiple Choice 2013 Practice Exam Questions and Solutions Part B Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations., 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. , Selected values of f(x) are given in. 1. the table above. Use a Left Riemann sum using the subintervals indicated by the table to approximate g(3). Find g’(x) and evaluate g’(3). Using the data in the table, estimate f’(3). Explain why there must be a value of f, on 1 < x < 9 such that f (c) = 4., Bigfoot or an Ancient Ape? - Sasquatch researchers have no conclusive evidence that sasquatches exist. Learn about scientific explanations for the sasquatch, like the gigantopithec..., Study with Quizlet and memorize flashcards containing terms like Let f be a continuous function such that 2~3 f(2x)dx = 8. What is the value of 4~6 f(x)dx?, If f(x)=2x^3 then the average rate of change of f on the interval [0,2] is, The graph of a polynomial function f(x) is shown above. In the interval shown, how many times will the graph of f1(x), the …, Free AP Calculus AB Practice Tests. Our completely free AP Calculus AB practice tests are the perfect way to brush up your skills. Take one of our many AP Calculus AB practice tests for a run-through of commonly asked questions. You will receive incredibly detailed scoring results at the end of your AP Calculus AB practice test to help you ... , It's a technique called "interleaving," and it can actually help you retain more information. You might think that learning and mastering one concept at a time is the best way to p..., The multiple choice sections of the exam combine to count as 50% of the exams score. (The other 50% comes from the free response questions). For each question there will be 4 choices. AP Scores your multiple choice questions by taking the number of questions you got write and multiplying by 1.2. This makes your total out of 54%., AP® Student Score Distributions released by the College Board report that the mean AP® World History score was 2.61 in 2014, 2.61 in 2015, 2.66 in 2016, 2.76 in 2017, 2.78 in 2018, 2.75 in 2019 and 2.88 in 2020. These scores have been very consistent, but there will likely be a noticeable change in the 2019 when the first group of students ..., When you set up your wireless connection, the router or device that enables the connection is called an access point. The AP name is the name by which other devices list your wirel..., AP Calculus BC Multiple Choice 2016 Questions - Practice Exam (pdf) Part A, Q1 - 14. Part A, Q15 - 28. Show Video for Q15 - 28. Part B, Q76 - 92. Show Video for Q76 - 92. Limits. For time > 0, the position of a particle moving in the xy-plane is given by the vector. Consider the series., Visit the College Board on the Web: www.collegeboard.com. AP Central is the official online home for the AP Program: apcentral.collegeboard.com. -i-. AP®Calculus BC Directions for Administration The AP Calculus BC Exam is 3 hours and 15 minutes in length and consists of a multiple-choice section and a free-response section., This is Part B of the multiple choice section of our free AP Calculus AB practice exam. There are a total of 15 test questions which must be answered within 45 minutes. A calculator is required for some questions on this part of the AP Calculus AB multiple choice. Question 1. y y y y y = 4 y = 4 x = 3.5 x = 3.5 f(x) = 3 (x + 1)2 + ex f ( x) = 3 ... , The two sections of an AP test—multiple choice and free response—are quite different. Be prepared for two very distinct challenges! ... both Calc AB and AP Statistics give you 90 minutes to answer six questions, or about 15 minutes per question. ... This is why taking practice multiple-choice sections in the months leading up to the exam is ..., Questions And Worked Solutions For AP Calculus BC Multiple Choice 2008, Practice Exam. AP Calculus BC Multiple Choice 2008 Questions - Practice Exam (pdf) Part A, Q1 - 28. Part B, Q76 - 92. Show Video for Q76 - 92. At time t ≥ 0, a particle moving in the xy-plane has velocity vector given by. Antiderivative.