Explanation Given Information: The provided curve is: Formula Used: The standard sine function is, f ( x ) = A sin [ ω ( x − α ) ] + C Where, A is the amplitude which is the height of peak above the baseline, C is the vertical offset which is the height of the baseline, ω is the angular frequency which is the number of cycles in every interval of length 2 π , P is the period or wavelength which is the length of each cycle and it is given by P = 2 π ω and α is the phase shift. Calculation: Consider the provided curve. From the graph, the height of peak above the baseline is, A = 70 2 = 35 The vertical offset is given by C = h − A . Where h is the total height of the peak and A is Amplitude. As the total height of the peak is 70. Therefore, C = 70 − 35 = 35 The length of half cycle is given as 50

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ISBN: 9781337514309

Author: Waner

Publisher: Cengage

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Chapter 9.1, Problem 18E

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Chapter 9.1, Problem 17E

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Chapter 9 Solutions

Applied Calculus

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The sine function that models the provided curve,

Solution Summary: The author explains the sine function that models the provided curve. The amplitude, vertical offset, angular frequency, period, and phase shift are given.

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Chapter 9 Solutions