Trigonometry Help: Model Daylight Hours in Lowell, MA 2020

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Discussion Overview

The discussion focuses on modeling daylight hours in Lowell, MA for the year 2020 using a sinusoidal function based on data from a specific website. Participants are tasked with determining various parameters of the model, including amplitude, vertical shift, horizontal stretch, and horizontal shift, while also comparing the model's output to actual data.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant requests to build a sinusoidal model using daylight hours data, specifying the need to calculate amplitude, vertical shift, horizontal stretch, and horizontal shift.
  • Another participant shares a link to a Google spreadsheet containing their progress on the model.
  • A third participant inquires about the specific textbook referenced for an example of the modeling process.

Areas of Agreement / Disagreement

The discussion does not indicate any consensus or resolution regarding the modeling approach or the textbook reference, as participants are still in the process of sharing information and clarifying details.

Contextual Notes

There is a lack of clarity regarding the specific textbook mentioned, which may affect the understanding of the modeling process. Additionally, the discussion does not provide explicit calculations or results from the modeling effort.

Who May Find This Useful

Students or individuals interested in applying trigonometric functions to real-world data, particularly in the context of modeling seasonal changes in daylight hours.

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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