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Find the volume of the region bounded above by the function f(x) = - x/2 + 3 and below by g(x) = e^x / 4 between x = 0 and x = 2 if the region is rotated around the x-axis. Submit an exact answer in terms of e and π.

Find the volume of the region bounded above by the function f(x) = - x/2 + 3 and below by g(x) = e^x / 4 between x = 0 and x = 2 if the region is rotated around the x-axis. Submit an exact answer in terms of e and π.

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Find the volume of the region bounded above by the function f(x) = - x/2 + 3 and below by g(x) = e^x / 4 between x = 0 and x = 2 if the region is rotated around the x-axis. Submit an exact answer in terms of e and π.

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