MAC 2313 Midterm: MAC2313 F00 Test 3
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Write your name at the top of this page. Show all work in the space provided. (1) (15 pts. ) Set up an iterated integral giving the volume of the solid bounded by the parabolic cylinder x2 = 4y and the planes z = 0 and 5y + 9z = 45. Sketch the region in the xy-plane corresponding to the double iterated integral. Write the iterated integral as an iterated integral with the order of integration dy dx. Here"s a helpful formula: z x2ex dx = (x2. Let r be the triangular region in the xy-plane with vertices (0, 6), (1, 3) and (0, 0). If the density at a point is equal to the sum of the coordinates of the point, set up (do not integrate) a triple iterated integral for the mass of d. (4) (20 pts. ) Sketch the region in the xy-plane corresponding to the double integral. Convert the integral to polar coordinates and evaluate.
