MATH 134 Calculus 2 with FUNdamentals

Prof. Gareth Roberts

Exam #3

Friday, May 1

The third exam covers Sections 5.9, 7.7, 7.8, 8.1, 10.1 - 10.3 and the material on consumer and producer surplus. It is recommended that you go over homework problems (HW #7 - 9, 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 #7 - 9 can be viewed 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, 7, 8, and 10 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 available in Moodle beginning at 8:00 am EST and closing at 8:00 pm EST on Friday, May 1. You will have 2 hours to complete the exam, although the exam will be designed to take roughly one hour. Extra time is being given to allow you sufficient time to upload your solutions. Be sure to click "Submit all and finish" when you are ready to submit your solutions.

We will review for the exam during a portion of class on Thursday, April 30. In addition, Lia will hold a review session on Wednesday, April 29 from 8:00 - 10 pm via Zoom. Please come prepared with specific questions.

Note: The exam is open book, so class notes, worksheets, and your textbook are allowed. However, you are forbidden to use the Internet for assistance on the exam and are not allowed to contact other students in the class during the exam. You are allowed to use a scientific calculator for the exam which does NOT have graphing or symbolic capabilities.

Chapter 5 Review Exercises, pp. 328 - 332
Problems:   123, 125

Chapter 7 Review Exercises, pp. 440 - 442
Problems:   69, 70, 72, 75, 76, 77, 79, 82, 83, 84

The answers to the evens are:
70.   Show that the integral of p(x) from 0 to ∞ equals 1. The mean is 5/2.
72.   To find the average, compute the mean = 8. The probability is the integral of the PDF from 0 to 3, which gives 1 - e-0.375 ≈ 31.3%
76.   The integral diverges.
82.   ln 2 - ln(5/3) or ln(6/5).
84.   35/3/2.

Chapter 8 Review Exercises, pp. 476 - 477
Problems:   1, 2, 3

The answer to the even problem is:
2.   e - e-1.

Chapter 10 Review Exercises, pp. 575 - 577
Problems:   10, 11, 13, 14, 15, 28, 29, 33, 38, 39, 42, 77, 79, 85

The answers to the evens are:
10.   -3/2
14.   0
28.   4/5
38.   π/12; the total area is the sum of a geometric series with ratio r = 1/4.
42.   converges; integral = 1/(4e).