Explanation Given Information: The provided function is y = 10 sin ( 9 x ) . Formula Used: For a given function y = A s c t ( B x ) , where s c t = sin / cos / tan Here, A = Amplitude and Period = 360 B Calculation: Consider the provided function: y = 10 sin ( 9 x ) Now, compare the provided function y = 10 sin ( 9 x ) with the function y = A s c t ( B x ) . So, it can be concluded that, Amplitude = 10 And, period = 360 9 = 40 Thus, the amplitude is 10 and period is 40 in the given function y = 10 sin ( 9 x ) . Graph: Consider the provided function: y = 10 sin ( 9 x ) Now, obtain the values of y by assuming corresponding values of x as: Substitute x = 0 in the function y = 10 sin ( 9 x ) . y = 10 sin ( 9 ⋅ 0 ) = 10 sin ( 0 ) = 0 Substitute x = 15 in the function y = 10 sin ( 9 x ) . y = 10 sin ( 9 ⋅ 15 ) = 10 sin ( 135 ) = 10 ⋅ 0.7071 = 7.071 Substitute x = 30 in the function y = 10 sin ( 9 x ) . y = 10 sin ( 9 ⋅ 30 ) = 10 sin ( 270 ) = − 10 ⋅ 1 = − 10 Substitute x = 60 in the function y = 10 sin ( 9 x )

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ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 14.2, Problem 5E

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To calculate: The period and amplitude of the given expression y=10sin(9x) and graph the provided function.

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Chapter 14.2, Problem 4E

Chapter 14.2, Problem 6E

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Chapter 14 Solutions

Elementary Technical Mathematics

Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 5E Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 9E Ch. 14.1 - Find each value rounded to four significant...

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The period and amplitude of the given expression y = 10 sin ( 9 x ) and graph the provided function.

Solution Summary: The author calculates the period and amplitude of the given expression y=10mathrmsin(9x) and graphs it.

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To calculate: The period and amplitude of the given expression y=10sin(9x) and graph the provided function.

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Chapter 14 Solutions