The following data shows the number of daylight hours on the 21st day of each month for a one-year cycle. Month Mar Apr May Jun Jul Aug Sep Oct Nov Dec Jan Feb Mar Hours 12.2 13.7 14.9 15.4 14.9 13.7 12.2 10.8 9.5 9.0 9.5 10.8 12.2 a) Draw a line that best represents the data, and label the 5 main coordinates. (***Note: Assume the month of March is located at x = 0.***) b) Develop a negative cosine equation to model the data, and explain how you figured out each part. c) Using the equation and the sketch, during which month(s) are there 11.5 or less day light hours? (***Hint: Use the equation to calculate one of the answers, and then use the drawing to calculate the other answers.***)
The following data shows the number of daylight hours on the 21st day of each month for a one-year cycle. Month Mar Apr May Jun Jul Aug Sep Oct Nov Dec Jan Feb Mar Hours 12.2 13.7 14.9 15.4 14.9 13.7 12.2 10.8 9.5 9.0 9.5 10.8 12.2 a) Draw a line that best represents the data, and label the 5 main coordinates. (***Note: Assume the month of March is located at x = 0.***) b) Develop a negative cosine equation to model the data, and explain how you figured out each part. c) Using the equation and the sketch, during which month(s) are there 11.5 or less day light hours? (***Hint: Use the equation to calculate one of the answers, and then use the drawing to calculate the other answers.***)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The following data shows the number of daylight hours on the 21st day of
each month for a one-year cycle.
Month Mar Apr May Jun
Jul Aug Sep Oct Nov Dec Jan Feb Mar
Hours 12.2 13.7 14.9 15.4 14.9 13.7 12.2 10.8 9.5 9.0 9.5 10.8 12.2
a) Draw a line that best represents the data, and label the 5 main coordinates.
(***Note: Assume the month of March is located at x = 0.***)
b) Develop a negative cosine equation to model the data, and explain how
you figured out each part.
c) Using the equation and the sketch, during which month(s) are there 11.5 or
less day light hours?
(***Hint: Use the equation to calculate one of the answers, and then use the
drawing to calculate the other answers.***)
d) State the domain and range of the given data.
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