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 1. Therefore, A = 1.5 . Now, the height of the baseline is C = h − A . Where h is the total height of the peak and A is Amplitude. As total height of the peak is 1.5. Thus, C = 1.5 − 1.5 = 0 Also, from the graph, the period is P = 0.5 . Thus, the angular frequency is, ω = 2 π P = 2 π 0

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ISBN: 9781337291248

Author: Waner, Stefan.

Publisher: Cengage Learning,

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Chapter 9.1, Problem 15E

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Chapter 9.1, Problem 14E

Chapter 9.1, Problem 16E

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Chapter 9 Solutions

Applied Calculus

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The sine function that models the given curve.

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Chapter 9 Solutions