Volume and LengthA solid is generated by revolving about

Chapter 6, Problem 2AAE

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QUESTION:

Problem  2AAE

Volume and Length

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 lines x = 0 and x = a. Its volume, for all a > 0 is a2 + a. Find ƒ(x).

Questions & Answers

QUESTION:

Problem  2AAE

Volume and Length

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 lines x = 0 and x = a. Its volume, for all a > 0 is a2 + a. Find ƒ(x).

ANSWER:

Solution :

Step 1 :

In this problem, we have to find  when its volume is  for all  .

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