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A Review of AP* Calculus Graphing Calculator Skills

Witch of Agnesi animation

1.
       Problem #1


Explanation

2.

Ladder problem #2

       Problem #2

Explanation
3.
       Problem #3

Explanation
4.
       Problem #4


Explanation

5.  
       Problem #5

Explanation
6.
       Problem #6

Explanation
7.
       Problem #7


Explanation

8.
       Problem #8


Explanation

9.

Problem illustration: Rectangle in arc

       Problem #9


Explanation

10.
       Problem #10


Explanation


*AP® Course Descriptions and Various Test Items.  Copyright© 2005 by the College Board.  Reproduced with permission.  All rights reserved.  < http://apcentral.collegeboard.com >.

This material has been reprinted with permission by the College Board, the copyright owner, and may not be mass distributed or resold, electronically or otherwise.  Unauthorized use, reproduction, duplication, editing, or dissemination of this material, in part or in whole, is forbidden by law.


These problems were selected with permission from the CollegeBoard AP® Calculus Course Description.  Thus, these skills and the multiple choice answers have been carefully tested by thousands of students.  Problems #1 and #2 have been on the AB level exam, but are true classics
and should be reviewed by all students.

Please make sure you can to do the following on a graphing calculator:
      (i.)     Produce a graph of a function within an arbitrary viewing window;
      (ii.)    Find the zeros of a function;
      (iii.)   Compute the derivative of a function numerically;
      (iv.)   Compute definite integrals numerically.

Of course there is far more to be learned.  But knowing these four skills and being confident about what is appearing on your calculator screen should enhance your mathematics education.
Tangent to a parabola



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Agnesi's Institutzioni is opened to her famous curve,

The Witch of Agnesi.

Courtesy of the Huntington Library
San Marino, CA.




Agnesi's famous curve in her publication