MAC 2313 Midterm: MAC2313 F96 Test 3
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1 + x2 dy dx: (20 pts. ) Sketch the region d in the rst quadrant bounded by the curve y = x2, the line y = 3x + 10 and the y-axis. Set up (do not integrate) a double integral for the area of d: (20 pts. ) Let r be the solid region between the surfaces z = 10 + x2 + y2 and z = x + y 8 where (x, y) runs over the triangular domain d in the xy-plane bounded by. Set up (do not integrate) a triple integral for the volume of r. x = 0, y = 0, 2x 3y = 6: (20 pts. ) Let r be the solid region bounded by z = 10 x2 y2 and z = x2 + y2 8. Set up (do not integrate) a triple integral for the volume of r.
