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a solid is generated by revolving about the x-axis the region bounded by the graph of the positive continuous function y=f(x), the x-axis, and the...

a solid is generated by revolving about the x-axis the region bounded by the graph of the positive continuous function y=f(x), the x-axis, and the fixed line x=a and the variable line x=b, b>a. Its volume, for all b, is b^2-ab. find f(x)

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