Let g be a function for which g' is continuous on an interval [a, b]. Then the length s of the graph of x g(y) on the interval [a, b] is given by s V1 +F dy. Select one: O a. None O b. False O c. True

Let g be a function for which g' is continuous on an interval [a, b]. Then the length s of the graph of x g(y) on the interval [a, b] is given by s V1 +F dy. Select one: O a. None O b. False O c. True

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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Question

Let g be a function for which g' is continuous on an interval [a, b]. Then the length
s of the graph of x g(y) on the interval [a, b] is given by
s V1 +F dy.
Select one:
O a. None
O b. False
O c. True

Expert Solution

Step 1

The arc length of a curve $x = f (y)$ on the interval $[a, b]$ is given by,

$S = \int_{a}^{b} \sqrt{1 + {(\frac{d x}{d y})}^{2}} d y$

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