2. Summer solstice is the day when the sun travels the longest path through the sky, and that day therefore has the most daylight. On the other hand, winter solstice is the day when the sun travels the shortest path through the sky, and that day therefore has the least daylight and the longest night. Consider the data given below: Hours of Sunlight Date Day of the Year 22.13 Summer Solstice 172 (June 21) Winter Solstice 355 6.08 (December 21) a) Model a sinusoidal equation that determines the number of sunlight hours on the nth day of the year. b) Solve for the number of sunlight hours on September 21. c) Sketch a sinusoidal graph of the modelled equation highlighting key points starting from Day 1 to Day 365 on any given non-leap year. d) Determine algebraically the dates when there are exactly just 12 sunlight hours. Locate these dates on the graph in part c).
2. Summer solstice is the day when the sun travels the longest path through the sky, and that day therefore has the most daylight. On the other hand, winter solstice is the day when the sun travels the shortest path through the sky, and that day therefore has the least daylight and the longest night. Consider the data given below: Hours of Sunlight Date Day of the Year 22.13 Summer Solstice 172 (June 21) Winter Solstice 355 6.08 (December 21) a) Model a sinusoidal equation that determines the number of sunlight hours on the nth day of the year. b) Solve for the number of sunlight hours on September 21. c) Sketch a sinusoidal graph of the modelled equation highlighting key points starting from Day 1 to Day 365 on any given non-leap year. d) Determine algebraically the dates when there are exactly just 12 sunlight hours. Locate these dates on the graph in part c).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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