Compute the Area of That Part of the Graph Of 3

question 133

Essay

Compute the area of that part of the graph of $3 z = 5 + 2 x ^ { 3 / 2 } + 4 y ^ { 3 / 2 }$ 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.