The minimum depth, d (in meters) of water in a harbour, t hours after midnight, c approximated by the function: d(t) = 5 cos(0.5t) + 12, where 0 ≤ t ≤ 24 a) Determine the maximum and minimum depths of water in the harbour?
The minimum depth, d (in meters) of water in a harbour, t hours after midnight, c approximated by the function: d(t) = 5 cos(0.5t) + 12, where 0 ≤ t ≤ 24 a) Determine the maximum and minimum depths of water in the harbour?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 43E
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can u please also answer d, a b c and and asap, thanks!
![2. The minimum depth, d (in meters) of water in a harbour, t hours after midnight, can be
approximated by the function:
d(t) = 5 cos(0.5t) + 12, where 0 ≤ t ≤ 24
a) Determine the maximum and minimum depths of water in the harbour?
b) Determine the period of depth function.
c) What is the depth of water, to the nearest of a meter, at 2.00 a.m.?
d) A ship, which requires a minimum depth of 8.5m, is docked at midnight. By what
time, to the nearest minute, must leave in order to prepvent being grounded?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe7756515-8c2f-441b-a093-de0346944520%2F28e4e125-820b-4eaa-9715-0804be7424c9%2Fav8rls_processed.png&w=3840&q=75)
Transcribed Image Text:2. The minimum depth, d (in meters) of water in a harbour, t hours after midnight, can be
approximated by the function:
d(t) = 5 cos(0.5t) + 12, where 0 ≤ t ≤ 24
a) Determine the maximum and minimum depths of water in the harbour?
b) Determine the period of depth function.
c) What is the depth of water, to the nearest of a meter, at 2.00 a.m.?
d) A ship, which requires a minimum depth of 8.5m, is docked at midnight. By what
time, to the nearest minute, must leave in order to prepvent being grounded?
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