The length of the day in Boulder (Latitude 40 N) can be modeled approximately by l(t)=−3 cos (2π 365 (t +10))+12 where l is given in hours and t is the day of the year. (a) Evaluate l(355); fully interpret the result in the context of this problem, including units. (b) Evaluate l′(265); fully interpret the result in the context of this problem, including units. (c) Calculate when l′(t)is largest. Explain.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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6. The length of the day in Boulder (Latitude 40 N) can be modeled approximately by l(t)=−3 cos (2π 365 (t +10))+12
where l is given in hours and t is the day of the year.
(a) Evaluate l(355); fully interpret the result in the context of this problem, including units.
(b) Evaluate l′(265); fully interpret the result in the context of this problem, including units.
(c) Calculate when l′(t)is largest. Explain.

6. The length of the day in Boulder (Latitude 40 N) can be modeled approximately by
27
(t + 10)) + 12
365
1(t) = -3 cos (:
where l is given in hours and t is the day of the year.
(a) Evaluate 1(355); fully interpret the result in the context of this problem, including units.
(b) Evaluate l'(265); fully interpret the result in the context of this problem, including units.
(c) Calculate when l'(t) is largest. Explain.
Transcribed Image Text:6. The length of the day in Boulder (Latitude 40 N) can be modeled approximately by 27 (t + 10)) + 12 365 1(t) = -3 cos (: where l is given in hours and t is the day of the year. (a) Evaluate 1(355); fully interpret the result in the context of this problem, including units. (b) Evaluate l'(265); fully interpret the result in the context of this problem, including units. (c) Calculate when l'(t) is largest. Explain.
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