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Math 103 -- Homework #15

Due: Wednesday, Dec. 8, 1999

pages 1001-1002:: 14 (answer is 27/8), 15 (set up only), 18 (set up only), 23 (set up only). When you set up the integrals, remember to substitute your function in for z.
pages 1009-1011:: 1 (To compute the surface integral, divide the surface into two hemispheres. You may use rectangular or polar coordinates.), 7, 8 (set up only), 13 (set up only)
Extra credit:: pages 1001-1002, numbers 15, 18 (answer is $44\pi$ ), and 23, evaluate the integrals. You may wish to use polar coordinates.
Extra credit:: pages 1009-1011, numbers 8 (answer is $\frac{31250}{3}\pi$ ) and 13, evaluate the integrals.
Extra credit:: pages 1009-1011, numbers 15 and 16.

Section 15.6, pages 1004-1009.

Who are two mathematicians famous for their use of the Divergence Theorem?

Section 15.7, pages 1011-1017.

Where did Stokes' Theorem first appear?

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Joshua Holden
12/5/1999