A cable hangs between two poles of equal height and 26 feet apart. Set up a coordinate system where the poles are placed at x =-13 and x = 13, where is measured in feet. The height (in feet) of the cable at position x is h(x) = 18 cosh(x/18), where cosh(x) = (e² + e¬®)/2 is the hyperbolic cosine, which is an important function in physics and engineering. The cable is feet long.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
icon
Related questions
Question
A cable hangs between two poles of equal height and 26 feet apart. Set up a coordinate system where the poles are
13, where x is measured in feet. The height (in feet) of the cable at position x is
placed at x =
-13 and x =
h(x) = 18 cosh(x/18),
where cosh(x) = (eª + e¯*)/2 is the hyperbolic cosine, which is an important function in physics and engineering.
The cable is
feet long.
Transcribed Image Text:A cable hangs between two poles of equal height and 26 feet apart. Set up a coordinate system where the poles are 13, where x is measured in feet. The height (in feet) of the cable at position x is placed at x = -13 and x = h(x) = 18 cosh(x/18), where cosh(x) = (eª + e¯*)/2 is the hyperbolic cosine, which is an important function in physics and engineering. The cable is feet long.
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning