MAC 2313 Midterm: MAC2313 S98 Test 3
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Sketch the region in the xy-plane corresponding to the double iter- ated integral. Z 1 y e x2 dx dy as an iterated integral with the order of integration reversed. Set up (do not integrate) a triple iterated integral for the volume of r. include a sketch: (15 pts. ) Let r be the solid region bounded by. Y2 and z = 11 x2 z = x2 + y2. The density function is (x, y, z) = exyz. Set up (do not integrate) a triple iterated integral for the mass of r. include a sketch: (20 pts. ) S is the region in the rst quadrant between the circles and between the lines x2 + y2 = 2, x2 + y2 = 4 y = 0, y = x. Using a double iterated integral, nd the value of xy da. Find the surface area of the part of z = x2 + y2 where z 4.
