P10 - 0 F x,y,z in the case c = 2 3 C With f and F as in...

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Math 241, Problem Set #10 (due in class Mon., 11/21/11) Stewart, section 12.8, problems 2, 6, 8, 10, 12, 14, 20. Stewart, section 13.1, problems 2, 6, 8, 11, 12, 13, 14, 15, 16, 17, 18, 26, 30, 32. Also: A. Let f ( x,y,z ) = ( x 2 + y 2 + z 2 ) c . Calculate F ( x,y,z ), where F = f . B. With f and F as in problem A, determine lim ( x,y,z ) (0
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Unformatted text preview: , , 0) F ( x,y,z ) in the case c = 2 / 3. C. With f and F as in problem A, determine lim ( x,y,z ) → (0 , , 0) F ( x,y,z ) in the case c = 1 / 3. D. For which c between 0 and 1 does lim ( x,y,z ) → (0 , , 0) F ( x,y,z ) exist, with f and F as in problem A?...
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