4. Suppose f(x) is a differentiable function with a continuousderivative. Describe the arc length of f(x) on the interval[a, b] in terms of a definite integral. Why is this definiteintegral equal to the definition of arc length for f(x) on[a, b]?

4. Suppose f(x) is a differentiable function with a continuousderivative. Describe the arc length of f(x) on the interval[a, b] in terms of a definite integral. Why is this definiteintegral equal to the definition of arc length for f(x) on[a, b]?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

4. Suppose f(x) is a differentiable function with a continuous
derivative. Describe the arc length of f(x) on the interval
[a, b] in terms of a definite integral. Why is this definite
integral equal to the definition of arc length for f(x) on
[a, b]?

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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