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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

A flexible cable always hangs in the shape of a catenary y = c + a cosh(x/a), where c and a are constants and a > 0 (see Figure 4 and Exercise 52). Graph several members of the family of functions y = a cosh(x/a). How does the graph change as a varies?

To determine

To sketch: The graph y=acosh(xa) changes as a varies.

Explanation

Use the online graphing calculator to draw the graph of family of the functions y=acosh(xa) as shown in Figure 1.

From Figure 1, it is observed that the minimum value of the function y=(1)cosh(x1) is 1

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