The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function D(t) = 4 cos -t + + 2 where t is the number of hours after midnight. Find the rate at which the depth is changing at 6 a.m. Round vour answer to 4 decimal places.
The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function D(t) = 4 cos -t + + 2 where t is the number of hours after midnight. Find the rate at which the depth is changing at 6 a.m. Round vour answer to 4 decimal places.
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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![The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function
\[ D(t) = 4 \cos \left( \frac{\pi}{6} t + \frac{5\pi}{6} \right) + 2 \]
where \( t \) is the number of hours after midnight. Find the rate at which the depth is changing at 6 a.m. Round your answer to 4 decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7507552d-033e-4149-9d44-bf1f4165ff0a%2F9905fa79-ea8d-492d-a178-4e3bf3d2a671%2Fjuvzyk8_processed.png&w=3840&q=75)
Transcribed Image Text:The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function
\[ D(t) = 4 \cos \left( \frac{\pi}{6} t + \frac{5\pi}{6} \right) + 2 \]
where \( t \) is the number of hours after midnight. Find the rate at which the depth is changing at 6 a.m. Round your answer to 4 decimal places.
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