The third exam covers Chapter 3 (excluding Section 3.9) and Sections 4.1 and 4.2. It is recommended that you go over homework problems (HW#7 - 9), your class notes and the quizzes. 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 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 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 90 minutes if needed.

**Exam Review Session:** Sunday, Nov. 24, 8:00 - 9:30 pm in Swords 328, led by 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 3 Review Exercises, pp. 248 - 250**

Problems: 1, 2, 3, 4, 7, 9, 11, 12, 13, 15, 16, 18, 20, 21, 23, 25, 27,
28, 33, 35, 37, 41, 42, 51, 52, 65, 68 (a,b,c,e), 73

The answers to the evens are:

2. -sin(tan x) sec^2(x)

4. (3x + 5)/(2x + 1)^(3/2)

12. 4(arcsin 2x)/sqrt{1 - 4x^2}

16. (y - 2x cos y)/(2 cos(2y) - x^2 sin y - x)

18. (2 + x)/x

20. ((ln x)^(cos x))*(cos x/(x ln x) - (sin x)*(ln(ln x)) )

28. -sin(x) e^(cos x) - e^x sin(e^x)

42. y = -1

52. (a) -2, (b) -3/8, (c) 6

68. (a) v = 3t^2 - 12, a = 6t, (b) upward: t > 2, downward: 0 < t < 2,
(c) 23, (e) speeding up: t > 2, slowing down: 0 < t < 2.

**Chapter 4 Review Exercises, pp. 324 - 326**

Problems: 1, 2, 3, 36, 37

The answers to the evens are:

2. f(-1) = -sqrt{2} is the absolute min and f(2/3) = 2 sqrt{3}/9 is
the absolute max.

36. *Hint:* Use similar triangles to relate the radius r to the height h of the amount of water at time t. Then use the formula
for the volume of a cone to get V as a function of just h. Answer: dh/dt = 8/(9 Pi) cm/sec