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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 40E
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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?
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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