A surface S has a parametrization G(u,v) whose domain D is the square in figure

Question

A surface S has a parametrization G(u,v) whose domain D is the square in figure 17. Suppose that G has the following normal vectors: n(A)=<2,1,0> n(B)=<1,3,0> n(C)=<3,0,1> n(D)=<2,0,1> Estimate the Area (double integral S) of f(x,y,z)dS where f is a function such that f(G(u,v))=u+v

FIGURE SEVENTEEN IS A GRAPH WHERE U IS THE HORIZONTAL AND V IS THE VERTICAL. THERE IS A SQUARE ON THE GRAPH WITH A IN THE UPPER LEFT HAND CORNER, B IN THE UPPER RIGHT HAND CORNER, C IN THE LOWER LEFT HAND CORNER, AND D IN THE LOWER RIGHT HAND CORNER. THE SQUARE'S DIMENSIONS ARE ONE BY ONE, WHICH EACH MINI SQUARE, LISTED BY LETTER, DIMENSION ONE HALF BY ONE HALF.

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