# Worksheet5 - 1 2 2 2 =-+ z y x to the origin. 5) Knowing R...

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Worksheet 5 12/26/2009 1) Sketch the region of integration and reverse the order of integration for both integrals. ∫ ∫ 2 ln 0 2 x e dydx ∫∫ - - 1 0 1 1 2 x x dydx 2) Sketch the region of integration and evaluate the integral dydx y x ∫ ∫ + 8 0 2 4 3 1 1 3) Calculate the mass of a thin plate with density y x y x + = ) , ( δ bounded by the parabola 2 y y x - = and the line 0 = + y x .

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Worksheet 5 12/26/2009 4) Find the minimum distance from the surface of
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Unformatted text preview: 1 2 2 2 =-+ z y x to the origin. 5) Knowing R on y x f if dA y x f R ) , ( ) , ( , determine what region R in the xy-plane maximizes the value of ( 29 --R dA y x 2 2 2 4 6) Evaluate the improper integral ( 29 dydx y x -1 3 3 / 2 2 1...
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## This note was uploaded on 12/25/2009 for the course MATH 1920 taught by Professor Pantano during the Spring '06 term at Cornell University (Engineering School).

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Worksheet5 - 1 2 2 2 =-+ z y x to the origin. 5) Knowing R...

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