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....
View
Full Document
 Spring '08
 Wolfe
 Math, Calculus, Euclidean geometry, following integral

Click to edit the document details