Calculus Group Assignment: Exponentials and Logarithms

Unless otherwise specified, problems for this group assignment come from our textbook, Calculus by James Stewart. In particular, problems come from Section 7.2 and 7.3 (NOT 7.2* and 7.3*). Problems for Section 7.2 appear on pages 402-404, and problems for Section 7.3 appear on pages 409-411.

For each of the following problems, write a careful solution. That is,

• When calculations are needed, you should show your work.
• When statements are needed, you should use complete sentences with careful wording.
• When a questions indicates "Justify your answer", you should write a thorough statement — usually a short paragraph.

Do each of the following problems:

1. Find the exponential function f(x) = C a^x that contains the points (1,6) and (3,54). (In this problem, consider both C and a to be constants.)
2. Section 7.2(48)
3. Section 7.2(60) (assume t ≥ 0)
4. Section 7.3(40)
5. Section 7.3(44)
6. Section 7.3(64)

Work to Turn In

You must work in groups of 2 or 3 for this group assignment.

• Solutions to each of the 6 problems specified.
• Solutions should be organized into problem order.

This document is available on the World Wide Web as

http://www.cs.grinnell.edu/~walker/courses/131.fa09/groups/exponentials.shtml

created 16 November 2009 last revised 18 November 2009
For more information, please contact Henry M. Walker at walker@cs.grinnell.edu.