Calculus for Phys./Life Sciences 1

Exam #2

Wednesday, Oct. 26, 6:00 - 7:30 pm

HABERLIN 103 (in the basement)

The second exam covers all of Chapter 2 and Sections 3.1 - 3.4 of Chapter 3. The exam will be designed to take an hour but you will have an extra 30 minutes to check your work.

A concise list of topics for Chapter 2 is given in the Chapter 2 Summary (p. 103). In Chapter 3, topics include the power, product, quotient and chain rules, how to differentiate sums, differences and constant multiples, and the derivatives of polynomials and exponentials. You should 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 2 and 3 Reviews as well as the Chapter 2 and 3 Check Your Understanding Sections below. Answers to some of the even numbered problems are provided.

Click here for a Practice Exam (PDF file). Note that questions #1d and #3 on the practice exam test material NOT covered on this exam. Solutions (PDF file) are available here. It is recommended you try the exam first before looking at the solutions.

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.

Exam Review: Section 02 (1-1:50pm) will review for the exam during Monday's class, Oct. 24th. Section 04 (9-9:50am) will review for the exam during Tuesday's class, Oct. 25th. Please come prepared with specific questions.

Review Problems The answers to the odd problems are in the back of the book. The answers to some of the evens are provided.

Chapter 2 review, pp. 103 - 106
Problems:   1, 2, 3, 5, 6, 7, 8, 9, 11, 16, 17, 19, 20, 21, 23, 28

Even Solutions:
16.   concave up; the slopes (although negative) are increasing
20.   x1 = 0.9, x2 = 1, x3 = 1.1, y1 = 2.8, y2 = 3, y3 = 3.2
28.   (a) IV, (b) III, (c) II, (d) I, (e) IV, (f) II

Chapter 2 Check Your Understanding, pp. 106 - 107
Problems:   1, 3, 7, 11, 13, 15, 20, 21, 22

Even Solutions:
20.   True, f(x) = |x-3| works
22.   False, f(x) = |x| is a counterexample

Chapter 3 review, pp. 159 - 162
Problems:   1, 2, 5, 9, 33, 37, 42, 58, 66, 72, 73, 83, 95

Even Solutions:
2.   -30/(5 + 3z)^2
42.   4/(e^x + e^(-x))^2
58.   6x(3x^3 - 2)(6x^3 + 15x - 2)(x^2 + 5)^2
66.   (5/2)(5z)^(-1/2) + (5/2)z^(-1/2) - (5/2)z^(-3/2) + (sqrt(5)/2)z^(-3/2)
72.   (a) -6, (b) 0, (c) -2

Chapter 3 Check Your Understanding, pp. 163 - 164
Problems:   1, 7, 19, 22, 23

Even Solutions:
22.   True, the derivative of a sum is the sum of the derivatives