1. The depth d of the water in a harbour, measured in metres, t hours after midnight, can be approximated by the function d(t)=5cos π t +11, where 0≤t≤24. 12 a) Determine the maximum and minimum depth of the water. b) Determine the depth of the water at 1:30 pm. c) Ships need at least 7 m of water in the habour. Determine the two time during the day when the depth of the water is exactly 7 m.

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.CR: Chapter Review
Problem 16E: Find the intensity of light at a depth of 12 meter if I0=14 and k=0.7. Round to two decimals.
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1. The depth d of the water in a harbour, measured in metres, t hours after midnight, can be approximated by the function
d(t)=5cos
π
t +11, where 0≤t≤24.
12
a) Determine the maximum and minimum depth of the water.
b) Determine the depth of the water at 1:30 pm.
c) Ships need at least 7 m of water in the habour. Determine the two time during the day when the depth of the
water is exactly 7 m.
Transcribed Image Text:1. The depth d of the water in a harbour, measured in metres, t hours after midnight, can be approximated by the function d(t)=5cos π t +11, where 0≤t≤24. 12 a) Determine the maximum and minimum depth of the water. b) Determine the depth of the water at 1:30 pm. c) Ships need at least 7 m of water in the habour. Determine the two time during the day when the depth of the water is exactly 7 m.
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