Explanation Given: The parametric equation for the variable x is as follows. x = 2 + 3 t The parametric equation for the variable y is as follows. y = cosh 3 t Formula used: The length of the curve is obtained by the formula. L = ∫ α β ( d x d t ) 2 + ( d y d t ) 2 d t Calculation: It is given that the parametric equation for the variable x is x = 2 + 3 t and the parametric equation for the variable y is y = cosh 3 t for 0 ≤ t ≤ 1 . Differentiate the equation x = 2 + 3 t with respect to t . d x d t = 3 Differentiate equation y = cosh 3 t with respect to t . d y d t = 3 sinh 3 t Length is determined for the limits of 0 to 1

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ISBN: 9781337613927

Author: Stewart

Publisher: CENGAGE L

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Chapter 10, Problem 40E

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The length of the curve x=2+3t and y=cosh3t for 0≤t≤1.

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Chapter 10, Problem 39E

Chapter 10, Problem 41E

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The length of the curve x = 2 + 3 t and y = cosh 3 t for 0 ≤ t ≤ 1 .

Solution Summary: The length of the curve is underset_L=mathrmsinh3

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The length of the curve x=2+3t and y=cosh3t for 0≤t≤1.

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