Question: Let S be a surface that can be parameterized by a graph z = g(x, y) which is defined on the domain D C

Let S be a surface that can be parameterized by a graph
z = g(x, y) which is defined on the domain D C

Let S be a surface that can be parameterized by a graph z = g(x, y) which is defined on the domain D C R2. Let : S C Ra + R, continuous, be the integrand. (a) Find the parameterization D C R2 * IR3 for the surface S. (b) Find the normal vector for the surface S at some point L') where (u, v) D. (c) Finally show that the integral of f over S is given by + I dy

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