MHB Trigonometry Help: Model Daylight Hours in Lowell, MA 2020

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The discussion focuses on creating a sinusoidal model to represent daylight hours in Lowell, MA for the year 2020, using data from sunrise-sunset.org. Participants are tasked with calculating the amplitude, vertical shift, horizontal stretch, and phase shift based on the provided data. An example from a textbook is mentioned as a reference for these calculations. The model should be used to compare daylight hours on a specific date, with participants encouraged to include graphs and calculations. The conversation also includes a query about the specific textbook being referenced for the example.
mcdwog
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Use the data from the website sunrise-sunset . org / us / lowell-ma to build a model (a sinusoidal function) whose output is the number of hours of daylight in Lowell when the input is the ordinal date (1 though 366) of the year 2020. Find (and show your calculations for finding): Amplitude Vertical Shift (Midline) Horizontal stretch (coefficient of the input variable, determined by the period) Horizontal Shift (Phase Shift) There is an example of how to find these on page 463 of your textbook. Use the model to show the hours of daylight on your birthday (or some other chosen day, if you prefer). Show the comparison between the output of your model and the datum from the website. Provide a graph of the function. This can be a picture of your calculator screens (one showing the y= screen, one showing the Window screen and one showing the graph). If you choose to provide a hand drawn graph, be sure to label the axes and all significant points.
 
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Beer induced query follows.
mcdwog said:
... There is an example of how to find these on page 463 of your textbook. ...
What textbook are you referring to?
 

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