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(1 point) Consider the solid region bounded below by the xy-plane and above by the function z = y and whose shadow when flattened straight

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(1 point) Consider the solid region bounded below by the xy-plane and above by the function z = y and whose shadow when flattened straight 1 + x2 down into the xy-plane is the region bounded by y = (x, y = 0, and x = 25. On a piece of paper, sketch the shadow of this region. Set up double integrals to compute the volume of the solid region in two different ways: Volume = dy dx where a = b = , f (x ) = , and g(x) = Volume = dx dy where a = b = , f(y) = and g(y) = One of these double integrals is extremely difficult; the other is much easier. Compute the easier integral to find the volume. Volume is

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