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Compute the Area of That Part of the Graph Of 3

Question 133

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Compute the area of that part of the graph of 3z=5+2x3/2+4y3/23 z = 5 + 2 x ^ { 3 / 2 } + 4 y ^ { 3 / 2 } which lies above the rectangular region in the first quadrant of the xy-plane bounded by the lines x = 0, x = 3, y = 0, and y = 6.

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