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y (1 point) Consider the solid region bounded below by the xy-plane, above by the function z = and on the sides by the planes

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y (1 point) Consider the solid region bounded below by the xy-plane, above by the function z = and on the sides by the planes y = x, y = 6X, x2+ 12 and x = 6. On a piece of paper, sketch the shadow of this region. Set up a double integral to compute the volume of the solid region. One order of integration requires a single double integral while the other order of integration requires two double integrals; use the order of integration which only requires one double integral. Volume = (Enter either "dx dy" or "dy dx" in the second box.) where a = b = C = , and d = (You may find it helpful to write x= something or y= something in your own work, but leave that part out of the answers you submit to Webwork. Put a single number or function in each answer blank, e.g., "5" or "0" or "2x+3".) Evaluate the integral: Volume is

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