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Solved: Volume and LengthA solid is generated by revolving
Chapter 6, Problem 1AAE(choose chapter or problem)
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).
Questions & Answers
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 .