MATH2010 Multivariable Calculus and Matrix Algebra, Sections 5-8

Homework 1.

Due: Monday, September 8, 2002.

Here are scanned copies of the pages containing the questions.

This assignment is in two parts. The answers to problems in Part I are generally in the book. It is advisable to make every effort to solve the problem before consulting the answer.

Collaboration: You are encouraged to discuss the problems with your classmates, but the work you turn in must be all your own. It is not acceptable to copy all or part of homework solutions from another person, whether or not that person is currently enrolled in the course.

Late policy: Papers turned in late will be subject to a 20% per day late charge. Exceptions may occur, but remember the instructor is more understanding of excuses given before the due date than after the due date.

Due time: You may turn in your assignment in section on Monday, or place it in your TA's mailbox in Amos Eaton 301 by 5pm. Please note that the office closes at 5pm, so you will be unable to hand the homework in later on Monday.

Part I

1.

(a)

Section 12.3, Page 866, question 51.

(b)

Show that

$$\frac{\partial^2 w}{\partial x^2} + \frac{\partial^2 w}{\pa... ...ac{\partial^2 w}{\partial z^2} = \frac{2}{\sqrt{x^2+y^2+z^2}}.$$

2.

Section 12.5, Page 882, question 31.

3.

Section 12.6, Page 893, question 27.

4.

Section 12.7, Page 903, question 31.

Part II

5.

Section 12.3, Page 866, question 84.

6.

Section 12.5, Page 883, question 52.

7.

(MAPLE) Section 12.6, Page 895, question 76.

8.

Section 12.7, Page 902, question 28.

Here are scanned copies of the pages containing the questions.