An electric cable is hung between two towers that are 40 meters apart (see figure). The cable takes the shape of a catenary whose equation is as follows, where x and y are measured in meters.   y = 10(ex/20 + e−x/20), −20 ≤ x ≤ 20   Find the arc length (in m) of the cable between the two towers. (Round your answer to three decimal places.)   step by step instructions would be great

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 90E
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An electric cable is hung between two towers that are 40 meters apart (see figure). The cable takes the shape of a catenary whose equation is as follows, where x and y are measured in meters.
 
y = 10(ex/20 + e−x/20), −20 ≤ x ≤ 20
 
Find the arc length (in m) of the cable between the two towers. (Round your answer to three decimal places.)
 
step by step instructions would be great
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