Hi, I would like to have the solution to the following question. Please write down detailed explanation for me. 8(a) The functions sinh and cosh are defined as1sinhr= (e –e *), cosh r = 1/-(e² + e ³).sinhr= 1.(i) Show from these definitions that cosh²(ii) Show thatdrcoshr=sinhr.-

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Answered: 8(a) The functions sinh and cosh are…

8(a) The functions sinh and cosh are defined as 1 sinhr=;(e-e*), coshr =1/√(₁²+ e ²). (i) Show from these definitions that cosh² r - sinh²x = 1. d (ii) Show that cosh r = sinh r. dx

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Hi, I would like to have the solution to the following question. Please write down detailed explanation for me.

8(a) The functions sinh and cosh are defined as
1
sinhr= (e –e *), cosh r = 1/-(e² + e ³).
sinhr= 1.
(i) Show from these definitions that cosh²
(ii) Show that
dr
coshr=sinhr.
-

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