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.
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.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
![The length of the day in Boulder (Latitude 40 N) can be modeled approximately by
\[ l(t) = -3 \cos\left(\frac{2\pi}{365}(t + 10)\right) + 12 \]
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F840f535b-f075-49f5-9fe8-c5a30f6f8dd7%2F8811c500-cf86-46c0-8f38-45010fc13bbf%2F4rybwi_processed.png&w=3840&q=75)
Transcribed Image Text:The length of the day in Boulder (Latitude 40 N) can be modeled approximately by
\[ l(t) = -3 \cos\left(\frac{2\pi}{365}(t + 10)\right) + 12 \]
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.
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