Calculus 1, MATH 135-01

Prof. Gareth Roberts

Exam #2

Thursday, March 31, In Class

The second exam covers Chapter 2 (excluding Sections 2.1 and 2.9) and Sections 3.1 and 3.2. It is recommended that you go over homework problems (HW #4 - 6), 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 #4 - 6 can be seen by clicking "View Key" near the top of each assignment. You can also click on "Practice Another Version" to redo some homework problems.

In addition, some review problems from the Chapter 2 and 3 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: Tuesday, March 29, 7:00 - 8:30 pm in Smith Labs 155, led by Jake Alofs.
Note: This is the room next to our usual classroom. Please come prepared with specific questions.

Important: You will be allowed a scientific calculator for the exam which does NOT have graphing capabilities. Please bring your own calculator with you to the exam.

Chapter 2 Review Exercises, pp. 110 - 112
Problems:   11, 13, 14, 15, 16, 17, 19, 26, 28, 29, 32, 33, 37, 45, 49, 51, 52, 53, 57, 58, 59, 60, 61, 64, 71, 73

The answers to the evens are:
14.   -2
16.   1/4
26.   5
28.   sqrt{2}
32.   4/3
49.   Hint: Multiply top and bottom by cos x + 1 and then simplify.
52.   Your graph should have a jump discontinuity at x = 2 and a removable discontinuity (hole) at x = 4.
58.   y = 9/2.
60.   y = 2 and y = -2. (Ignore the constant terms and use the fact that sqrt{u} = |u|.)
64.   (a) -2, (b) 54, (c) 6/7, (d) 120

Chapter 3 Review Exercises, pp. 189 - 192
Problems:   4, 5, 7, 9, 10, 11, 18, 19, 29, 30, 31

The answers to the evens are:
4.   f'(0.7) ≈ 2, f'(1.1) ≈ 3.
10.   1/sqrt{2x + 1}. Multiply top and bottom by the conjugate and simplify.
18.   (I) A is the function and B is the derivative, (II) B is the function and A is the derivative, (III) B is the function and A is the derivative.
30.   -6 x-5/2.