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Let S be the part of the surface of the equation z = x + y above the triangle of vertices (0, 0), (1, 1)and

Let S be the part of the surface of the equation z = x + y above the triangle of vertices (0, 0), (1, 1)and (0, 1).(a) Find a parameterization for S. What is the domain of this parameterization?(b) Assemble the surface integral. integral is in the figure,Note: No need to solve the integral.

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