Multivariable Calculus MA 241-02

Exam #2

Wednesday, April 13, 8:00 am

The second exam covers Chapters 14, 15 and Sections 16.1, 16.2 and 16.3. 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 14, 15 and 16 Reviews and Check Your Understanding Sections below. Note that these problems are a SAMPLE selection. Certain topics are covered in the reviews better than others. 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, April 11, during class. Please come prepared with specific questions.

Chapter 14 Review, pp. 695 - 697
Problems:   3, 5, 7, 9, 11, 13, 17, 19, 21, 23, 27, 31, 33, 35, 46

The answers to the evens are:
46.   -1.6

Chapter 14 Check Your Understanding, pp. 698 - 699
Problems:   3, 5, 9, 11, 15, 19, 21, 41, 43, 46

The answers to the evens are:
46.   False

Chapter 15 Review, pp. 728 - 731
Problems:   1, 3, 5, 8, 10, 11, 15, 17, 20, 27, 32

The answers to the evens are:
8.   (1,2) min, (-1,-2) max, (-1,2) and (1,-2) saddles; no global extrema
10.   (-3/sqrt(5),4/sqrt(5)) min, (3/sqrt(5),-4/sqrt(5)) max
20.   200 sacks of rice, 100 sacks of beans
32.   The set-up is whats important here. Answer: x = 37.5, y= 4.6, z = 57.9

Chapter 15 Check Your Understanding, pp. 732
Problems:   1, 3, 5, 7, 9, 11, 14, 15, 19, 23

The answers to the evens are:
14.   True

Chapter 16 Review, pp. 777 - 779
Problems:   1, 3, 9, 10, 12, 13, 17, 23, 24, 25, 27, 33, 35

The answers to the evens are:
10.   85/12
12.   10(e-2)
24.   positive

Chapter 16 Check Your Understanding, pp. 780 - 781
Problems:   1, 3, 5, 7, 11, 15, 19, 21, 23, 25