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Find the area of the surface given by z = f ( x , y ) over the region R . ( Hint: Some of

Find the area of the surface given by

z = f(x, y) over the region R. (Hint: Some of the integrals are simpler in polar coordinates.)

f(x, y) = 4 x2

R: square with vertices (0, 0), (2, 0), (0, 2), (2, 2)

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