# Quiz0Bans - y y = ( ) 2 2 cos ± ± ² ³ ´ ´ µ ¶-y = 1...

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STAT 410 Spring 2008 Version B Name ANSWERS . Quiz 0 (10 points) Be sure to show all your work, your partial credit might depend on it. No credit will be given without supporting work. 1. (5) Evaluate the following integral and sketch the area of integration. [ Hint: Change the order of the integration. ] ( ) ± ± ± ² ³ ´ ´ ´ µ π 0 2 sin dx dy y x = ( ) ± ± ± ² ³ ´ ´ ´ µ 0 0 2 sin dy dx y y = ( ) & 0 2 sin dy
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Unformatted text preview: y y = ( ) 2 2 cos ± ± ² ³ ´ ´ µ ¶-y = 1 . 2. (3) Evaluate the following integral. ( ) & sin dx x x by parts u = x dv = sin x dx du = dx v = – cos x ( ) & sin dx x x = ( ) & +-cos cos dx x x x = ( ) sin x + = . 3. (2) Evaluate the following sum. ( ) · ∞ = 1 ! 5 ln n n n = ( ) · ∞ = ! 5 ln n n n – 1 = e ln 5 – 1 = 5 – 1 = 4 ....
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## This note was uploaded on 02/11/2011 for the course STAT 410 taught by Professor Monrad during the Spring '08 term at University of Illinois, Urbana Champaign.

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