The number of hours of daylight H in a certain area is approximately given by the function H(t) = 2.5 cos[ b(t - d) ] + 11.5 where H is in hours and t in days, and the function has a period of one year (365 days). a) Find b (b > 0) and d if H is maximum on June 21st (month of February has 28 days). b) Which day is the shortest (has the smallest number of hours of daylight)? Activate Windows

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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The number of hours of daylight H in a certain area is
approximately given by the function
H(t) = 2.5 cos[ b(t - d) ] + 11.5
where H is in hours and t in days, and the function has a
period of one year (365 days).
a) Find b (b > 0) and d if H is maximum on June 21st (month
of February has 28 days).
b) Which day is the shortest (has the smallest number of
hours of daylight)?
%3D
Activate Windows
Go to Settings to activate Windows.
Transcribed Image Text:The number of hours of daylight H in a certain area is approximately given by the function H(t) = 2.5 cos[ b(t - d) ] + 11.5 where H is in hours and t in days, and the function has a period of one year (365 days). a) Find b (b > 0) and d if H is maximum on June 21st (month of February has 28 days). b) Which day is the shortest (has the smallest number of hours of daylight)? %3D Activate Windows Go to Settings to activate Windows.
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