Explanation Given information: sinh ( ln 5 ) and tanh ( 3 ln 5 ) Formula used: sinh x = e x − e − x 2 cosh x = e x + e − x 2 Calculation: We compute sinh ( ln 5 ) and tanh ( 3 ln 5 ) as follows. sinh ( ln 5 ) = e ln 5 − e − ln 5 2 = e ln 5 − e ln 5 − 1 2 = e ln 5 − e ln 1 5 2 = 5 − 1 5 2 = 12 5 Thus sinh ( ln 5 ) = 2 5

Loose-Leaf Version for Calculus: Early Transcendentals Single Variable

4th Edition

ISBN: 9781319312886

Author: Rogawski, Jon, Adams, Colin, FRANZOSA, Robert

Publisher: W. H. Freeman

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Question

Chapter 1.6, Problem 36E

To determine

Compute sinh(ln5) and tanh(3 ln 5) without using a calculator.

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Chapter 1.6, Problem 35E

Chapter 1.6, Problem 37E

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Chapter 1 Solutions

Loose-Leaf Version for Calculus: Early Transcendentals Single Variable

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Compute sinh ( ln 5 ) and tanh ( 3 ln 5 ) without using a calculator.

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Compute sinh(ln5) and tanh(3 ln 5) without using a calculator.

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Chapter 1 Solutions