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 graph. In the provided graph, the height of peak above the baseline is 1. Therefore, A = 1 . Now, the vertical offset is given by C = h − A . Where h is the total height of the peak and A is Amplitude. From the graph, height of the peak is 2. Therefore, C = 2 − 1 = 1 Also from the graph, the length of each cycle is 1

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ISBN: 9781337291248

Author: Waner, Stefan.

Publisher: Cengage Learning,

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Chapter 9.1, Problem 13E

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Chapter 9.1, Problem 12E

Chapter 9.1, Problem 14E

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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