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AP Calculus AB 2016 Free Response Question 5. The inside of a funnel of height 10 inches has circular cross sections, as shown in the figure above. At height h, the radius of the funnel is given by r = 1/20 (3 + h 2), where 0 ≤ h ≤ 10. The units of r and h are inches. (a) Find the average value of the radius of the funnel.

We have links to the best online AP Calculus practice exams. These free resources provide thousands of challenging practice questions to work through. Choose from the listing below to get started with your AP Calc AB test prep!

  1. 2011 Calculus AB free response #6b. 2011 Calculus AB free response #6c. Video transcript. For 0 is less than or equal to t is less than or equal to 6, a.
  2. This chapter contains solutions and notes for the free-response questions from past AP Calculus exams. The free-response questions and scoring guidelines for these exams are posted on the College Board's apstudent web site and, for teachers, on AP Central.

AP Calculus AB Practice Exam

Dozens of multiple choice practice questions organized by topic. Also includes a full-length practice exam with answers and detailed explanations. Be sure to check this out!

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Varsity Tutors AB Flashcards

Varsity Tutors has 1,218 free AP Calc flashcards. Each card has a multiple-choice question with explanation. Practice with the whole set or just a specific topic.

Practice Problems

Awesome AP Calculus practice questions from the University of Houston. Complete with answers and solutions. Just click on the topic and then click on “Help Materials.”

Analyzemath Practice

Online AP Calculus quizzes with a total of 24 questions to work through. Challenging questions with answer key.

Sample Questions

This PDF review packet from the College Board includes 16 AP Calculus AB multiple choice questions. All of this material is based on the revised calculus curriculum.

Course Description

The official course description includes quite few practice questions as well. There are multiple choice along with free response questions. Scroll to page 47 to get started.

ALBERT AP Calculus Practice

Hundreds of free practice questions for Calculus AB and BC. Just pick the topic you’re working on and start practicing. You do need to register to use this website.

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AB Calc Questions

Some quizzes from Free Test Online. Multiple choice and free response questions.

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AP Calculus AB | Practice Exams | Free Response | Notes | Videos | Study Guides


Back to Be Prepared Calculus
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Chapter 10

Annotated Solutions toPast Free-Response Questions

This material is provided to you as a supplement to the book Be Prepared for the AP Calculus Exam. You are not authorized to publish or distribute it in any form without our permission. However, you may print out one copy of this chapter for personal use and for face-to-face teaching for each copy of the Be Prepared book that you own or receive from your school.


This chapter contains solutions and notes for the free-response questions from past AP Calculus exams. The free-response questions and scoring guidelines for these examsare posted on the College Board's apstudent web site and, for teachers, on AP Central:

For students:

For teachers:

All solutions:

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The best way to practice with the past exam questions is to first solve them on your own,then compare your solutions with our solutions and notes.

1971-1985 questions with solutions by Judith Broadwin and George Lenchner,and 1986-2000 questions with solutions by Judith Broadwin, George Lenchner, and Martin Rudolph,are available for purchase and free download (scanned-to-PDF) atmoems.org.

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