The second exam covers all of Chapter 3 (excluding Section 3.8) and Sections 4.2 and 4.3. It is recommended that you go over homework problems (HW#7 - 9) as well as your class notes. Many of the problems and questions we discuss in class are excellent examples of test questions. I have also listed some sample problems from the Chapter 3 and 4 Review Exercises 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:** Monday, Nov. 26, 7:00 - 8:30 pm in O'Neil 112.

Please come with specific questions.

** 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.

**Chapter 3 Review Exercises, pp. 255 - 257**

Problems: 1, 2, 3, 4, 7, 9, 10, 11, 13, 15, 16, 21, 23, 25, 27,
28, 33, 35, 37, 39, 47, 48, 61, 64 (a,b,c,e), 69

The answers to the evens are:

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

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

10. e^x/sqrt(1-e^(2x))

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

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

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

64. (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. 336 - 338**

Problems: 1, 2, 3, 5, 6, 7, 8

The answers to the evens are:

2. f(1/4) = -1/4 is a local min and absolute min, f(4) = 2 is
the absolute max.

6. (a) no asymptotes, (b) increasing on (-3,0),
(0, infinity), decreasing on (-infinity, -3), (c) local min at
f(-3) = -27, no local max, (d) concave up on (-infinity, -2), (0, infinity),
concave down on (-2, 0), inflection points at (-2,-16) and (0,0)

8. (a) vertical asymptotes at x = 1,-1 and horiz. asymp. at y
= 0, (b) decreasing on (-infinity, -1) and (-1, 0), increasing on
(0, 1) and (1, infinity), (c) local min at the point (0,1), (d)
concave up on (-1, 1) and concave down on (-infinity, -1),
(1, infinity), no inflection points.