Question: A solid is generated by rotating about the x-axis the region under the curve y = f(x), where f is a positive function and x

A solid is generated by rotating about the x-axis the region under the curve y = f(x), where f is a positive function and x ≥ 0. The volume generated by the part of the curve from x = 0 to x = b is b² for all b > 0. Find the function f.

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