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Math 103 -- Homework #10

Due: Wednesday, Nov. 3, 1999

Show your work on all problems.
Remember to staple your work before you come to class!

Textbook problems first shown Wednesday:

pages 903-905:: 3, 7, 28, 30, 37. For problems 3 and 7 use a double integral. For problems 28 and 30 set up the integral but do not evaluate it.
pages 578-579:: 1(a, b, c), 2(d), 6, 11, 24, 25, 39, 41, 43, 53, 56 (there are 3 distinct points of intersection)
Extra Credit:: Pages 903-905, numbers 28 and 30, evaluate the integrals.

Textbook problems first shown Friday:

pages 911-912:: 2 (answer is $9\pi/4$ ), 6 (answer is $4+\pi/4$ ), 10 (answer is $3\pi/2$ ), 12 (answer is $\pi a^{4}/2$ ), 14 (answer is $\pi(2-\sqrt{3})/2$ ), 23, 28 (answer is $\pi/2$ ), 29, 38 (answer is $12\pi$ )
page 904:: 33, 34. Set up these integrals using polar coordinates but do not evaluate.
Extra Credit:: pages 911-912, number 34.
Extra Credit:: pages 904-905, evaluate numbers 33 and 34 (answer is $(-7/6+4\sqrt{2}/3)\pi$ ) using polar coordinates, number 42.

Textbook problems first shown Monday:

pages 920-922:: 5, 7, 9, 13, 41, 42.
Extra Credit:: pages 920-922, number 44.

Reading assignment for Friday:

Section 14.5, pages 912-920.

Questions on reading for Friday, Oct. 29:

When did Pappus state his theorems?

Reading assignment for Monday:

Section 14.6, pages 924-929.

Questions on reading for Monday, Nov. 1:

What is an example of equations that define an oblique segment of a paraboloid?

Reading assignment for Wednesday:

Section 14.7, pages 932-938. Before you read this, you may want to read Section 12.8, pages 783-787, on cylindrical and spherical coordinates. (There will be no reading question on Section 12.8.)

Questions on reading for Wednesday, Nov. 3:

How does the volume of a circular paraboloid compare to that of the circumscribed cylinder?

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Next: Math 103 Up: Homework Previous: Math 103

Joshua Holden
12/5/1999