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3. The number of hours of sunlight in a day of a leap year, in part of Ontario, can be modelled by a sinusoidal function with a minimum of 8.9 on the 356th day of the year (December 21st), and a maximum of 15.4 on the 173rd day of the year (June 21st). a. Find a sinusoidal function that models this relationship. b. What days (on the calendar) are the closest to 14 hours in length? c. How long is the 218th day of a leap year?

3. The number of hours of sunlight in a day of a leap year, in part of Ontario, can be modelled by a sinusoidal function with a minimum of 8.9 on the 356th day of the year (December 21st), and a maximum of 15.4 on the 173rd day of the year (June 21st). a. Find a sinusoidal function that models this relationship. b. What days (on the calendar) are the closest to 14 hours in length? c. How long is the 218th day of a leap year?

Advanced Engineering Mathematics
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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3. The number of hours of sunlight in a day of a leap year, in part of Ontario, can be modelled by a sinusoidal function with a minimum of 8.9 on the 356th day of the year (December 21st), and a maximum of 15.4 on the 173rd day of the year (June 21st). a. Find a sinusoidal function that models this relationship. b. What days (on the calendar) are the closest to 14 hours in length? c. How long is the 218th day of a leap year?
Transcribed Image Text:3. The number of hours of sunlight in a day of a leap year, in part of Ontario, can be modelled by a sinusoidal function with a minimum of 8.9 on the 356th day of the year (December 21st), and a maximum of 15.4 on the 173rd day of the year (June 21st). a. Find a sinusoidal function that models this relationship. b. What days (on the calendar) are the closest to 14 hours in length? c. How long is the 218th day of a leap year?
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