Extra Practice for calc exam 3

Extra Practice for calc exam 3 - z = 1 and inside the...

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1. Evaluate Z 1 0 Z 1 p x p x cos( y 4 ) dy dx 2. Evaluate ZZ D xdA ( x;y ) where D x 2 + y 2 = a 2 , x = 0 , and y = x 3. Evaluate ZZZ E z dV ( x;y;z ) where E is the solid pyramid whose base has vertices (0 ; 0 ; 0) , (1 ; 0 ; 0) , (0 ; 2 ; 0) , and (2 ; 2 ; 0) , and whose vertex is at (1 ; 0 ; 2) . 4. Evaluate ZZZ E z p x 2 + y 2 + z 2 dV ( x;y;z ) where E is the solid which lies above the plane
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Unformatted text preview: z = 1 and inside the sphere x 2 + y 2 + z 2 = 2 z . 5. Determine ZZ D 3 x & y x & y dA ( x;y ) where D is the polygon with vertices (1 ; 4) , (3 ; 6) , (2 ; 3) , and (0 ; 1) ....
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This note was uploaded on 08/31/2011 for the course MATH 21-259 taught by Professor Flaherty during the Spring '08 term at Carnegie Mellon.

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