MATH 134 Calculus 2 with FUNdamentals

Prof. Gareth Roberts

Exam #1

Thursday, Feb. 20, in class


The first exam covers Sections 5.1 - 5.8. It is recommended that you go over homework problems (HW #1 - 3, both written and WebAssign), class notes, quizzes, 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 #1 - 3 can be seen by clicking "View Key" near the top of each assignment. You can also click on "Practice Another Version" to redo certain homework problems.

Some review problems from the Chapter 5 Review Exercises are listed below. The odd answers are in the back of the book while the evens are listed here. I have also compiled some sample exam problems from previous exams. For the solutions, click here.

The exam will be designed to take roughly one hour although you will have 90 minutes if needed. We will review for the exam during a portion of class on Tuesday, Feb. 18. In addition, Lia will hold a review session on Wednesday, Feb. 19 from 8 - 10 pm in Swords 328. Please come prepared with specific questions.

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

Chapter 5 Review Exercises, pp. 328 - 332
Problems:   1, 3, 5, 9, 11, 17, 21, 23, 27, 28, 29, 33, 36, 37, 38, 39, 41, 44, 46, 48, 49, 55, 57, 61, 62, 65, 68, 69, 75, 79, 81, 84, 85, 88, 91, 93, 94, 97, 101, 102, 109, 110, 111, 113

The answers to the evens are:
28.   -¼ e-4x + c
36.   y = ¼ e4x - ¼ e4 + 1
38.   100 m/s
44.   40
46.   -13/10
48.   26/81
62.   19 sin3(3θ) + c
68.   ¼(e9 - e)
84.   ½ (ln 18 - ln 9) = ½ ln 2
88.   π2
94.   A(x) is the area function. Local max at x = B; no local minima; points of inflection at x = A, C, and D; increasing on (0, B); decreasing on (B, D) and (D, E); concave up on (0, A) and (C, D); concave down on (A, C) and (D, E); absolute max at B.
102.   3/2
110.   3y