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Find the Area of the Surface S Where S Is z=2x2+yz = 2 x ^ { 2 } + y

Question 59

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Find the area of the surface S where S is the part of the plane z=2x2+yz = 2 x ^ { 2 } + y that lies above the triangular region with vertices (0,0)( 0,0 ) \text {, } (3,0)( 3,0 ) , and (3,3)( 3,3 )

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