(a) Find a positive continuous function f such that the area under the graph of f from 0 to t is Astd t 3 for all t . 0. (b) A solid is generated by rotating about the x-axis the region under the curve y fsxd, 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.

# (a) Find a positive continuous function f such that the

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(a) Find a positive continuous function f such that the