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Consider the region R bounded by the graphs of y = (x) > 0, x = a > 0, x = b > a, and y = 0. (a) Suppose f(x) = 4x2 − x4 with a = 1, b = 2. Calculate the volume of the solid formed by revolving R about the x-axis. (b) Do the same for the solid formed by revolving R about the y-axis

Consider the region R bounded by the graphs of y = (x) > 0, x = a > 0, x = b > a, and y = 0. (a) Suppose f(x) = 4x2 − x4 with a = 1, b = 2. Calculate the volume of the solid formed by revolving R about the x-axis. (b) Do the same for the solid formed by revolving R about the y-axis

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Consider the region R bounded by the graphs of y = ( x ) > 0 , x = a > 0 , x = b > a , and y = 0 . (a) Suppose f ( x ) = 4 x 2 − x 4 with a = 1 , b = 2 . Calculate the volume of the solid formed by revolving R about the x -axis. (b) Do the same for the solid formed by revolving R about the y -axis

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