Unformatted text preview: D above the xy plane. Compute ¯ z . 4. (20 points) Let T be the triangle with vertices (0 , 0) , (4 , 1) and (1 , 2). Let D be the triangle with vertices (0 , 0) , (1 , 0) and (0 , 1). Change variables to express the integral over T Z Z x 2 y dA as an integral over D . Do not evaluate the resulting integral, just set it up completely. 5. (20 points) Compute the volume of the region in the ±rst octant which is bounded by the coordinate planes and the plane x + y + z = 1....
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This note was uploaded on 09/09/2009 for the course MATH 241 taught by Professor Wolfe during the Spring '08 term at Maryland.
 Spring '08
 Wolfe
 Math, Calculus

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