Unformatted text preview: Part 2 3. Problem 20 from page 169. 4. Problem 24 from page 170. Part 3 5. Problem 1 from page 196. 6. Let f : [0 , 1] × [0 , 1] → R be continuous, and suppose g y ( x ) = f ( x,y ) is continuously diﬀerentiable with respect to x , and g y ( x ) is continuous with respect to y . Prove that d dx Z 1 f ( x,y ) dy = Z 1 g y ( x ) dy. 1...
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 Fall '10
 Prof.KatrinWehrheim
 Derivative, Continuous function, dy

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