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Volume and LengthSuppose that the increasing function ƒ(x)
Chapter 6, Problem 3AAE(choose chapter or problem)
QUESTION:
Problem 3AAE
Volume and Length
Suppose that the increasing function ƒ(x) is smooth for x 0 and that . Let s(x) denote the length of the graph of ƒ from (0, a) to (x, ƒ(x)), x > 0. Find ƒ(x) if s(x) = Cx for some constant C. What are the allowable values for C?
Questions & Answers
QUESTION:
Problem 3AAE
Volume and Length
Suppose that the increasing function ƒ(x) is smooth for x 0 and that . Let s(x) denote the length of the graph of ƒ from (0, a) to (x, ƒ(x)), x > 0. Find ƒ(x) if s(x) = Cx for some constant C. What are the allowable values for C?
ANSWER:
Solution:
Step 1 of 3:
In this problem, we need to find , if for some constant C.Then find the allowable values of C.