5. The depth of water in a port is modelled by the function d(t) = pcosqt + 7.5, for 0

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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5. The depth of water in a port is modelled by the function d (t) = pcosqt + 7.5, for 0<t< 12,
where t is the number of hours after high tide. At high tide, the depth is 9.7 metres. At low
tide, which is 7 hours later, the depth is 5.3 metres.
a. Find the value of p.
b. Find the value of q.
c. Use the model to find the depth of the water 10 hours after high tide.
Transcribed Image Text:5. The depth of water in a port is modelled by the function d (t) = pcosqt + 7.5, for 0<t< 12, where t is the number of hours after high tide. At high tide, the depth is 9.7 metres. At low tide, which is 7 hours later, the depth is 5.3 metres. a. Find the value of p. b. Find the value of q. c. Use the model to find the depth of the water 10 hours after high tide.
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