MAC 2313 Midterm: MAC2313 C08 Test 3
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Write your complete solutions on the answer sheets. Do not write on this test paper. (1) (20 points) sketch the region r in the xy-plane bounded by the two curves y = x2 and x = y2. Let r denote the smaller of the two regions bounded by the curves. (a) express the area of r as an iterated integral in (x, y)-coordinates. Do not evaluate. (b) express the area of r as an iterated integral in (r, )-coordinates. Do not evaluate. (3) (10 points) let s denote the solid region in the rst octant of xyz-space that lies between the two planes 2x + 2y + z = 2 and x + y + z = 1.
