# 2016 Practice Testap Calculus

Here is Part A of our AP Calculus AB free response questions. This is the first FRQ section of our AP Calculus AB Practice Exam. After you write down your solutions you can check your answers here. A graphing calculator is required for both of these problems.

6 AP CALCULUS BC PRACTICE EXAM AP CALCULUS BC PRACTICE EXAM 7 11. LiIf m x dx k p k 1 '3 # is finite, then which of the following must be true? X 1 p n 1 3-= / converges II. X 1 p n 1 3 = / diverges III. X 1 p n 1 2 3 = / converges A. X tIn the xy-plane, the graph of the parametric. Posted on October 15, 2019 by Kennon McCaa. Post navigation.

1. AP Calculus AB Scoring Guidelines, 2016 Author: The College Board Subject: AP Calculus AB Keywords: AP Calculus AB, Scoring Guidelines, 2016 exam, exam resources; teacher resources; exam preparation; scoring information Created Date: 7/15/2016 10:38:53 AM.
2. THE PRINCETON REVIEW AP CALCULUS AB PRACTICE TEST I 535. Iff(x) = 6x2 6x2 (C) —2x2 (D) 36x3 - 2x (E) then f is Q3x- -7X+12 4. If the function f is.

Question #1

Above is the graph of \$f'(x) = sin^2⁡(πx) cos⁡(πx).\$

(a) Identify the function for \$f(x)\$.

(b) Identify \$1\$ local maximum and \$1\$ local minimum for \$f(x)\$. Give evidence for each extremum.

(c) Identify \$1\$ point of inflection with evidence on \$0 ≤ x ≤ 2\$.

(d) Identify where \$f(x)\$ is increasing and decreasing on \$0 ≤ x ≤ 2\$ with a reason for each answer.

Question #2

Above is the curve for \$y = e^x\$ restricted by the \$y\$-axis and \$y = e^3\$.

(a) Find the volume formed by revolving the curve around the y-axis.

(b) The revolved shape forms the shape of a canister used to store water. The volume calculated in part (a) is a measurement in gallons. Water flows into the canister at \$2\$ gallons per minute. What is the rate of change of the radius of the water in the canister when there are \$217\$ gallons in the canister?

Hint: \$displaystyleint xe^x = xe^x − e^x + C\$

## Free Response Part A — Answers >>

Earn College Credits for Less!

All across the US, students just like you are using CLEP® exams to demonstrate proficiency and reduce the cost of their college education. With the CLEP program you get the opportunity to earn college credits for coursework without having to pay expensive tuition fees or sit through lengthy classes.

Each year, the College Board publishes practice test questions for all 33 CLEP exams. The practice questions in their exam guides give you samples of the type of problems you can expect to face on the actual exam. There are 60 sample test questions in the 2016 CLEP Calculus Examination Guide but only the letter MC answers are provided so you won't know how to correctly solve the ones you get wrong or don't understand. This guide provides the step-by-step worked solutions to these practice test questions to be used as a study aid. Only 4 questions have been changed from the 2015 edition. Here is the approximate distribution of questions on the exam:

• 10% – Limits
• 50% – Differential Calculus
• 40% – Integral Calculus

We cannot include the actual sample test questions in our solutions due to the College Board's copyright. If you need the original questions, they can be found in either the comprehensive 2016 CLEP Official Study Guide or the Calculus Examination Guide both available at http://clep.collegeboard.org/exam. Select the “Science & Mathematics” tab and then select Calculus from the list on the left. The Official Study Guide may also be available for checkout at your local public library. If you're going to take a few CLEP exams, the Official Study Guide is more economical as it contains all the exam guides.

Do yourself and your wallet a favor by skipping those unnecessary Calculus classes!

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### Ap Calculus Ab 2016 Practice Test

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### 2016 Practice Testapp Calculus Answers

• Includes the step-by-step solutions to all 60 sample test questions on the 2016 CLEP Calculus Examination Guide.

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