Solve what is being asked During a leap year, the number of hours of daylight in a city can be D(t) 12 + 2.4 sin(0.017t 1.377). where t is the day modeled by of the year (that is t = 1 mean January 1, t = 60 is February 29, and so on) a. Give one day of that year whose number of hours of day- light is about 14.4 b. Give one day of that year whose number of hours of day- light is about 12.6 c. Give one day of that year whose number of hours of day- light is about 10 d. Find another day of the year whose number of hours of day- light is the same as that of February 29 e. Find another day of the year whose number of hours of day- light is the same as that of April 4.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 72E
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Solve what is being asked
During a leap year, the number of hours of daylight in a city can be
modeled by , where t is the day
D(t) = 12 + 2.4 sin(0.017t - 1.377),
%3D
where t is the day
of the year (that is t = 1 mean January 1, t = 60 is February 29, and
so on)
a. Give one day of that year whose number of hours of day-
light is about 14.4
b. Give one day of that year whose number of hours of day-
light is about 12.6
c. Give one day of that year whose number of hours of day-
light is about 10
d. Find another day of the year whose number of hours of day-
light is the same as that of February 29
e. Find another day of the year whose number of hours of day-
light is the same as that of April 4.
Transcribed Image Text:Solve what is being asked During a leap year, the number of hours of daylight in a city can be modeled by , where t is the day D(t) = 12 + 2.4 sin(0.017t - 1.377), %3D where t is the day of the year (that is t = 1 mean January 1, t = 60 is February 29, and so on) a. Give one day of that year whose number of hours of day- light is about 14.4 b. Give one day of that year whose number of hours of day- light is about 12.6 c. Give one day of that year whose number of hours of day- light is about 10 d. Find another day of the year whose number of hours of day- light is the same as that of February 29 e. Find another day of the year whose number of hours of day- light is the same as that of April 4.
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