Explanation Given Information: The chart showing the year-round temperature in Cancun where the curve is an approximate 5 - month moving average as follows, Formula Used: The generalized cosine function is, f ( x ) = A cos [ ω ( x − β ) ] + C Where, A is the amplitude, the angular frequency is ω , the phase shift is β , the vertical offset is C. The time period P is, P = 2 π ω The value of β is determined by finding the highest point in the graph. Calculation: Consider the curve, Here, the highest point from the curve is 82 , and the lowest value is 75 . The vertical offset which is the height of the baseline is, C = low + high 2 = 75 + 82 2 = 78.5 Thus, the value of Amplitude which is the height of peak above the baseline is, A = High − C = 82 − 78.5 = 3

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ISBN: 9781337652742

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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Chapter 9.1, Problem 47E

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To calculate: The cosine function to model the temperature in Cancun as a function of time t in months since December if the chart showing the year-round temperature as,

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Chapter 9.1, Problem 46E

Chapter 9.1, Problem 48E

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The cosine function to model the temperature in Cancun as a function of time t in months since December if the chart showing the year-round temperature as,

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To calculate: The cosine function to model the temperature in Cancun as a function of time t in months since December if the chart showing the year-round temperature as,

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Chapter 9 Solutions