MA 227 Midterm: 3-13s-test3
Document Summary
Find r rd x dxdy, where d is bounded by y = x4 and y = x2. Find the volume under the surface z = x and above the triangle in the xy plane with vertices (0, 0), (3, 0), (1, 1). Sketch the region of integration and change the order of integration: Use polar coordinates to nd the volume under the plane z = x y + 2 and above the half-disk x2 + y2 1, y 0 in xy plane. Find the mass of the lamina that occupies the region: and has the density function given by (x, y) = x2 + y2. D = {(x, y)| x2 + y2 4, x 0} Find r rd(x + 2y) dxdy, where d is bounded by x y = 0, x y = 4, x + 2y = 1, x + 2y = 4. Use change of variables u = x y, v = x + 2y.
