   Chapter 3.11, Problem 28E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# For each of I he following functions (i) give a definition like those in (2), (ii) sketch the graph, and (iii) find a formula similar 10 Equation 3.(a) csch–1(b) sech–1(c) coth–1

(a)(i)

To determine

To define: The inverse hyperbolic function.

Explanation

Let y=csch1x.

Since the function y=cosh1x is one to one, cschy=x

(ii)

To determine

To sketch: The graph of the function y=csch1x.

(iii)

To determine

To find: The formula similar to equation (3)

(b)(i)

To determine

To define: The inverse hyperbolic function.

(ii)

To determine

To sketch: The graph of the function y=sech1x.

(iii)

To determine

To find: The formula similar to equation (3)

(c)(i)

To determine

To define: The inverse hyperbolic function.

(ii)

To determine

To sketch: The graph of the function y=coth1x.

(iii)

To determine

To find: The formula similar to equation (3)

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Study Guide for Stewart's Multivariable Calculus, 8th 