Solved: Volume and LengthA solid is generated by revolving

Chapter 6, Problem 1AAE

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QUESTION:

Problem  1AAE

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 fixed line x = a and the variable line x = b, b > a. Its volume, for all b, is b2 - ab. Find ƒ(x).

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QUESTION:

Problem  1AAE

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 fixed line x = a and the variable line x = b, b > a. Its volume, for all b, is b2 - ab. Find ƒ(x).

ANSWER:

Problem  1AAE

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 fixed line x = a and the variable line x = b, b > a. Its volume, for all b, is b2 - ab. Find ƒ(x).

Solution:

Step 1 of 2

In this problem, we have to find .


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