AP Calculus MATH 136-01

Exam #1

Wednesday, Sept. 29, IN CLASS

The first exam covers Chapters 1, 2 and 3. We did not spend much time in Sections 2.1, 2.5, 3.8 and 3.9 (and no homework was assigned from these sections.) However, you should read over the Chapter Topic Review Sheets to make sure you understand the vocabulary and concepts from ALL the sections listed.

It is recommended that you go over the homework problems 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 1, 2 and 3 Reviews below. The odd answers are in the back of the book while the evens are listed here. The exam will be designed to take the full class period (45-50 minutes).

Exam Review: We will review for the exam on Monday, Sept. 27th, during class. Please come prepared 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 1 review, pp. 48-51
Problems:   1, 4, 5, 7, 9, 10, 11, 12, 15, 16, 17, 19, 20, 27, 29, 35, 37, 38

The answers to the evens are:
4.   amplitude: 5, period: 6 pi
10.   y = 2 e^(-0.34657 x)
12.   y = k(x+2)(x+1)(x-1)
16.   y = 3x^2/(x^2-4)
20.   continuous (product of continuous functions)
38.   (a) is g(x), (b) is f(x), (c) is h(x)

Chapter 2 review, pp. 99 - 102
Problems:   1, 3, 5, 7, 8, 13, 15, 19, 21, 22, 23, 25, 26, 27, 31, 36

The answers to the evens are:
8.   -1/x^2 (use the limit definition of the derivative)
22.   concave up (try drawing a graph)
26.   x_1 = 0.9, x_2 = 1, x_3 = 1.1, y_1 = 2.8, y_2 = 3, y_3 = 3.2
36.   a) IV   b) III   c) II   d) I   e) IV   f) II

Chapter 3 review, pp. 159 - 161
Problems:   1, 5, 7, 11, 21, 27, 31, 35, 37, 47, 49, 51, 54, 55, 58, 61, 65*, 66, 70

The answers to the evens are:
54.   dy/dx = -3
58.   y = (-1/5)x + 8/5 and y = (-4/5)x - 8/5
66.   The curves are perpendicular at x = 0 and at x = 1.
70.   The population of Mexico was growing faster in 1990.