The third midterm exam covers Chapter 3 (excluding Sections 3.1 and 3.2) and Sections 4.1 and 4.2. It is recommended that you go over homework problems (HW #7 - 9), class notes, worksheets, and the quizzes. Many of the problems and questions that we have discussed in class are excellent examples of test questions.

In addition, some good review problems from the Chapter 3 and 4 Review Exercises are listed below. The odd answers are in the back of the book while the evens are listed here. The exam will be designed to take roughly one hour although you will have 90 minutes if needed.

**Exam Review Session:** Tuesday, Dec. 1, 6:30 - 8:00 pm in Swords 302, led by
Kate Spitler.

Please come prepared with specific questions.

** Note:** You will be allowed a scientific calculator for the exam which does NOT have graphing
capabilities. Please bring your own calculator with you to the exam.

**Chapter 3 Review Exercises, pp. 189 - 192**

Problems: 27, 33, 35, 37, 39, 45, 46, 47, 52, 53, 55, 57, 59, 63, 64, 67, 68, 69, 70, 73, 88, 90, 95, 97, 99,
101, 103, 105, 122a, 123

The answers to the evens are:

46. 12 sin(2 - 3x)

52. - sin x * sec^{2}(cos x)

64. (cos(ln θ))/θ

68. 2e^{y}/(1 - e^{y})^{2}

70. 1/(s*sqrt{s^{2} - 1})

88. -18

90. -8

122a. -0.72 radians per second

**Chapter 4 Review Exercises, pp. 256 - 258**

Problems: 3, 4, 7, 9, 11, 32, 33, 34, 37, 38

The answers to the evens are:

4. Compute the linearization of f(x) = sqrt{x} at a = 100. Then sqrt{101} ≈ 10.05. The error
is 0.0001244.

32. Minimum value is -270 (at x = -2 or 2), Maximum value is 2 (at x = -1 or 1).

34. Minimum value is 0 (at x = 0), Maximum value is 1/3 (at x = 1).

38. Minimum value is approximately -40.914645 (at x = ln 20), Maximum value is
approximately 47.413159 (at x = 5).