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Unformatted text preview: : ] 1 , [ ] 1 , [ = = = otherwise prime q with q n m some for q n y and q m x if y x f , , 1 ) , ( (a) Is f integrable on R ? Justify your answer. (b) Do both iterated integrals exist? Justify your answer. 3. Verify that the assumptions of the Fubini Theorem are satisfied and evaluate (a) , where D dxdy y x ) , 2 max( ] 1 , [ ] 2 , [ = D . (b) , where D dxdy y E ) ( } 2 5 : ) , {( 2 2 = y x R y x D . Remark: denotes the integer part of the number u . ) ( u E 4. Evaluate dzdydx z z z x y 1 1 1 ) 2 ( ) sin( (Be careful: Why does the triple integral even exist?) 5. Let . Find vol ( } 1 ..... : { 1 2 1 = x x x x R n n n x ). Remark: Considering cases n = 2 and n = 3 first might be helpful....
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 Fall '09
 STANCZAK
 Math

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