Explanation Given information: Curve is y = e x and it lies between points 0 , 1 and 2 , e 2 . Concept Used: length of the curve is given by the formula L = ∫ a b 1 + d y d x 2 d x . Calculation: The equation is as follows. y = e x The above curve lies between the points 0 , 1 and 2 , e 2 . Now, the objective is to find the exact length of the curve. Since, y = e x d y d x = e x So, the integral that represents length of the curve is, L = ∫ 0 2 1 + e x 2 d x = ∫ 0 2 1 + e 2 x d x = ∫ 1 e 2 1 + u 2 d u = ∫ π 4 α sec 3 θ d θ Simplify it further as follows

9th Edition

ISBN: 9781337613927

Author: Stewart

Publisher: CENGAGE L

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Chapter 8.1, Problem 37E

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To find: Height at which the wire must be attached to each pole when wire is in the shape of catenary equation y=c+a coshxa .

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Chapter 8.1, Problem 36E

Chapter 8.1, Problem 38E

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Chapter 8 Solutions

Calculus, Early Transcendentals

Ch. 8.1 - Use the arc length formula (3) to find the length...Ch. 8.1 - Use the arc length formula to find the length of...Ch. 8.1 - Set up, but do not evaluate, an integral for the...Ch. 8.1 - Set up, but do not evaluate, an integral for the...Ch. 8.1 - Set up, but do not evaluate, an integral for the...Ch. 8.1 - Set up, but do not evaluate, an integral for the...Ch. 8.1 - Set up, but do not evaluate, an integral for the...Ch. 8.1 - Set up, but do not evaluate, an integral for the...Ch. 8.1 - Find the exact length of the curve. 9....Ch. 8.1 - Find the exact length of the curve. 10....

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Height at which the wire must be attached to each pole when wire is in the shape of catenary equation y = c + a cosh x a .

Solution Summary: The objective is to find the exact length of the curve using the formula cy=ex.

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To find: Height at which the wire must be attached to each pole when wire is in the shape of catenary equation y=c+a coshxa .

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Chapter 8 Solutions