MAC 2313 Midterm: MAC2313 C01 Test 3
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The following items are of equal weight. (1) sketch the region r in the xy-plane corresponding to the double iterated integral. Evaluate the integral. (2) sketch the region r in the xy-plane corresponding to the double iterated integral. Write the iterated integral as an iterated integral with the order of integra- tion dy dx. Hint: z x2ex dx = (x2 2x + 2)ex + c. (3) using a double iterated integral in polar coordinates, nd the value of. S p4 x2 y2 da where s is the rst quadrant sector of the circle x2 + y2 = 4 between the lines y = 0 and y = x.
