Explanation Given information: The curve is f ( x ) = 1 − 2 x on [ 1 , 3 ] Formula used: The length of the arc of the curve f ( x ) on [ a , b ] is given by s = ∫ a b 1 + [ f ' ( x ) ] 2 d x Calculation: f ( x ) = 1 − 2 x on [ 1 , 3 ] (Given) Differentiating f ( x ) = 1 − 2 x with respect to ‘x’, we get f ' ( x ) = − 2 ⇒ [ f ' ( x ) ] 2 = 4 </

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 6.4, Problem 3PS

To determine

To find:The length of the arc of the curve f(x)=1−2x on [1,3] .

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Chapter 6.4, Problem 2PS

Chapter 6.4, Problem 4PS

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Chapter 6 Solutions

Calculus

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