Calculus 2 with FUNdamentals

Exam #3

Thursday, May 1, In Class

The third exam covers Sections 6.6 - 6.8, 7.1 - 7.3 and 8.1 - 8.3. It is recommended that you go over homework problems (HW #7 - 9), your class notes (including worksheets and handouts), and the quizzes (Quiz #9 solutions are available here.) Many of the problems and questions we discuss in class are excellent examples of test questions. The solutions to your WebAssign problems on HW #7 - 9 can be seen by clicking "View Key" near the top of each assignment. I have also listed many, many practice problems on WebAssign titled, ``Exam #3 Review Problems.''

In addition, some good review problems from the Chapter 6, 7 and 8 Review Exercises are listed below. The odd answers are in the back of the book while the evens are listed here. The Concept-Check at the end of each chapter (before the exercises) is also a source for good questions. The exam will be designed to take roughly one hour although you will have the full class period (plus a little extra) if necessary.

Exam Review Session: Tuesday, April 29, from 8:00 - 9:30 pm, in Swords 359 with our TA Meg Norton.
Please come prepared with specific questions.

Note: You will be allowed a scientific calculator for the exam which does NOT have graphing capabilities.

Chapter 6 Review Exercises, pp. 488 - 490
Problems:   27, 32, 33, 37, 39

The answer to the even problems are:
32.   (2, 2/3)

Chapter 7 Review Exercises, pp. 548 - 550
Problems:   1, 3, 4, 5, 6, 7

The answers to the evens are:
4.   (a) y(0.4) = 1.08, (b) y(0.4) = 1.129238, (c) y = 1/(1-x^2), y(0.4) = 25/21 = 1.190476 so decreasing the step-size leads to a better approximation although it is still considerably off.
6.   x = c e^(t - t^2/2) - 1

Chapter 8 Review Exercises, pp. 629 - 630
Problems:   1, 3, 4, 5, 9, 10, 13, 14, 19

The answer to the even problems are:
4.   divergent
10.   divergent (compare with Harmonic series)
14.   divergent (nth-term test)