** Location: Smith Labs 154**

The third midterm exam covers Chapter 3 (excluding Sections 3.1 and 3.2) and Sections 4.1, 4.2, and 4.3. It is recommended that you go over homework problems (HW #7 - 9, both written and WebAssign), class notes, and worksheets. 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. You can also click on "Practice Another Version" to redo certain homework problems.

In addition, some 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:** Monday, Nov. 27, 7:30 - 9:00 pm in Smith Labs 154, led by
Ryan Ferraro.

Please come prepared with specific questions.

** Note:** You will be allowed a scientific calculator for the exam which does NOT have graphing capabilities nor the ability to do symbolic
computation. Please bring your own calculator with you to the exam.

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

Problems: 27, 35, 37, 39, 45, 46, 47, 52, 53, 55, 57, 59, 63, 64, 65, 67, 68, 69, 70, 73, 88, 89, 90, 95, 97, 99, 101, 103, 105, 121, 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, 25, 27, 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 19 - 20 ln(20) ≈ -40.914645 (at x = ln 20); Maximum value is e^{5} - 101 ≈ 47.413159 (at x = 5).