In a certain city the number of hours of daylight on day t (where t is the number of days after January 1) is modeled by the function L(t) = 12 + 2.81 sin2 (t - 80). 365 (a) Which days of the year have about 10 h of daylight? (Enter your answers as a comma-separated list.) (b) How many days of the year have more than 10 h of daylight?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 53E
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In a certain city the number of hours of daylight on day t (where t is the number of days after January 1) is modeled by the function
2n
-(t -
365
– 80).
L(t) = 12 + 2.81 sin
(a) Which days of the year have about 10 h of daylight? (Enter your answers as a comma-separated list.)
(b) How many days of the year have more than 10 h of daylight?
Transcribed Image Text:In a certain city the number of hours of daylight on day t (where t is the number of days after January 1) is modeled by the function 2n -(t - 365 – 80). L(t) = 12 + 2.81 sin (a) Which days of the year have about 10 h of daylight? (Enter your answers as a comma-separated list.) (b) How many days of the year have more than 10 h of daylight?
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