Explanation Given information: The curve is f ( x ) = 3 x + 2 on [ − 1 , 2 ] 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 ) = 3 x + 2 on [ − 1 , 2 ] (Given) Differentiating f ( x ) = 3 x + 2 with respect to ‘x’, we get f ' ( x ) = 3 ⇒ [ f ' ( x ) ] 2 = 9 The length of the arc of the curve f ( x

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 1PS

To determine

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

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Chapter 6.3, Problem 60PS

Chapter 6.4, Problem 2PS

Chapter 6 Solutions

Calculus

Ch. 6.1 - Prob. 1PS Ch. 6.1 - Prob. 2PS Ch. 6.1 - Prob. 3PS Ch. 6.1 - Prob. 4PS Ch. 6.1 - Prob. 5PS Ch. 6.1 - Prob. 6PS Ch. 6.1 - Prob. 7PS Ch. 6.1 - Prob. 8PS Ch. 6.1 - Prob. 9PS Ch. 6.1 - Prob. 10PS

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

Solution Summary: The author calculates the length of the arc of a curve f(x)=3x+2 on left[-1,2right].

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

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Chapter 6 Solutions