The second exam covers Sections 7.5 - 7.8, 8.1 - 8.4, 8.7 and 8.8. You should go over homework problems as well as your class notes. Many of the problems and questions we discussed in class are excellent examples of test questions. I have also listed some sample problems from the Chapter 7 and 8 Reviews as well as the Check Your Understanding sections for those chapters below. The answers to the odd problems are in the back of the book while answers to even numbered problems are provided.

**Note:** The Chapter Review questions do not always reflect the breadth of material we covered from
that given chapter. For example, there are virtually no problems from Sections 8.4, 8.7
and 8.8 in the Chapter 8 Review problems although these sections will certainly be covered on the
exam. For problems from these sections it is recommended you look at odd numbered problems in these sections.

Click here for a **Sample Exam** (PDF file).
Solutions are available ** here** (PDF file).
Note that there is a typo on the solutions. For Problem 1b, Mid should be an overestimate
while Trap should be an underestimate.
The exam will be designed to take an hour although you will have the full 90 minutes.

** Note:** You will be given a scientific calculator for the exam which does NOT have graphing
capabilities so be prepared to answer questions without your personal calculator.

**Exam Review:** We will review for the exam in Tuesday's class, March 28th.
Please come prepared with specific questions.

**Chapter 7 review, pp. 361 - 364**

Problems: 133, 134, 135, 139, 141, 143, 144, 145, 156, 161

The answers to the evens are:

134. diverges

144. converges to a value between 0 and Pi/2

156. Right(5) < Right(10) < Trap(10) < Exact value < Mid(10) < Left(10) < Left(5)

**Chapter 7 Check Your Understanding, pp. 364 - 365**

Problems: 1, 3, 5, 8, 19, 21

The answers to the evens are:

8. False; TRAP(n) = LEFT(n) = RIGHT(n) is possible

**Chapter 8 review, pp. 428 - 432**

Problems: 5, 7, 9, 10, 15, 17, 19, 23, 26, 28, 29, 33, 36, 37, 38, 41, 54, 55

The answers to the evens are:

10. 72Pi

26. 2Pi/3

28. (Pi^2)/2 - 2Pi/3

36. Multiply both sides by r and convert to Cartesian coordinates

38. (Pi/3 + sqrt(3)/2)*a^2

54. Graph A corresponds to 300 kelvins and Graph B corresponds to 500 kelvins.

**Chapter 8 Check Your Understanding, pp. 433 - 434**

Problems: 5, 7, 8, 9, 12, 20, 21, 26, 27, 28, 29, 30

The answers to the evens are:

8. False

12. False

20. False

26. False

28. True

30. True