Back to . . .      NCB Deposit # 56 Mostly "BC" level . . . A Review of AP* Calculus Graphing Calculator Skills

 1 Choose One 18 20 22 36 107 Explanation 2 Choose One -6.2 -0.8 -0.4 -0.3 -0.1 Explanation 3 Choose One -6 -1 0 1 6 Explanation 4 Choose One 3.18 3.98 4.02 4.05 4.79 Explanation 5 Choose One 0.693 1.146 1.216 1.373 1.946 Explanation 6 Choose One 0 1 π^e / (π^e - e^π) e^π / (π^e - e^π) nonexistent Explanation 7 Choose One 0.0 0.3 5.4 5.6 6.5 Explanation 8 Choose One 22 30 500 516 523 Explanation 9 Choose One 0.500 0.785 0.860 0.866 6.280 Explanation 10 Choose One 0.333 0.632 0.743 1.457 1.676 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.

 Agnesi's Institutzioni is opened to her famous curve, The Witch of Agnesi. Courtesy of the Huntington Library San Marino, CA.