MA 227 Midterm: 3-12f-test3
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Show all of your work for full credit. Find the volume of the solid under the surface z = y + 1 and above the region bounded by y = ln x, y = 0, x = 0 and y = 1. 2xyda, where d is bounded by y = x3 and y = x in the. Answer: . ex2 dxdy. (hint: reverse the order of integration). Find the volume of the solid enclosed by the cone z = x2 + y2 and the plane z = 1. Find the area of the region bounded by the ellipse use the transformation x = 3u, y = 2v). x2. Evaluate e y = 0, z = 0, and x + y + z = 1. y2dv , where e is the tetrahedron bounded by x = 0, Let e be the solid sphere x2 + y2 + z2 1 with a constant density.
