Explanation Formula used: Maclaurin expansion of cos x : “The Maclaurin expansion of cos x is given by, cos x = 1 − x 2 2 ! + x 4 4 ! − x 6 6 ! + ⋯ ” Calculation: Given that, the current y = 3.2 cos 880 π t where t is the time in seconds. Replace x by 880 π t in the Maclaurin expansion of cos x and obtain the Maclaurin expansion of cos ( 880 π t ) as follows. cos ( 880 π t ) = 1 − ( 880 π t ) 2 2 ! + ( 880 π t ) 4 4 ! − ( 880 π t ) 6 6 ! + ⋯ Obtain the infinite series of displacement y as shown below. y = 3.2 cos 880 π t = 3

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780134434636

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 30, Problem 71RE

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To express: The displacement y as an infinite series.

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Chapter 30, Problem 70RE

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Chapter 30 Solutions

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

Ch. 30.1 - Prob. 1PE Ch. 30.1 - Prob. 2PE Ch. 30.1 - Prob. 1E Ch. 30.1 - Prob. 2E Ch. 30.1 - Prob. 3E Ch. 30.1 - Prob. 4E Ch. 30.1 - Prob. 5E Ch. 30.1 - Prob. 6E Ch. 30.1 - Prob. 7E Ch. 30.1 - Prob. 8E

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