This preview shows page 1. Sign up to view the full content.
Unformatted text preview: E is the region in space bounded above by the sphere ( x-2) 2 + ( y + 1) 2 + z 2 = 25 and below by the plane z = 3. Set up, but do not evaluate Z ZZ E xz dV , in the order dz dy dx . 6. (15 pts.) Determine the maximum and minimum of f ( x, y ) = xy + 3 x on the closed region bounded above by y = 9-x 2 and below by the x axis, and give the points where they occur. 7. (15 pts.) Find the area of the part of the surface z = x + y 2 which lies above the triangle in the x , y plane with vertices (0 , 0), (0 , 2), and (2 , 2). (Hint: if you run into a hard integral, youve missed something.)...
View Full Document
This note was uploaded on 03/26/2008 for the course MATH 251 taught by Professor Skrypka during the Spring '08 term at Texas A&M.
- Spring '08