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The depth (D metres) of water in a harbour at a time (t hours) after midnight on a particular day can be modelled by the function D = 4 sin(0.48 t-0.7)+7, t≤ 12, where radians have been used. Select the two options which are correct statements about the predictions based on this model. Select one or more: The model can be used to predict the tide for up to 12 days. The smallest depth is 3 metres. At midday the depth is approximately 3.2 metres. The depth of water in the harbour falls after midnight.

The depth (D metres) of water in a harbour at a time (t hours) after midnight on a particular day can be modelled by the function D = 4 sin(0.48 t-0.7)+7, t≤ 12, where radians have been used. Select the two options which are correct statements about the predictions based on this model. Select one or more: The model can be used to predict the tide for up to 12 days. The smallest depth is 3 metres. At midday the depth is approximately 3.2 metres. The depth of water in the harbour falls after midnight.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The depth (D metres) of water in a harbour at a time (t hours) after midnight on a particular day can be modelled by the function D = 4 sin(0.48 t -0.7)+7, t≤ 12, where radians have been used. Select the two options which are correct statements about the predictions based on this model. Select one or more: The model can be used to predict the tide for up to 12 days. The smallest depth is 3 metres. At midday the depth is approximately 3.2 metres. The depth of water in the harbour falls after midnight. The largest depth is 7 metres. The time between the two high tides is exactly 12 hours. At midnight the depth is approximately 11 metres.
Transcribed Image Text:The depth (D metres) of water in a harbour at a time (t hours) after midnight on a particular day can be modelled by the function D = 4 sin(0.48 t -0.7)+7, t≤ 12, where radians have been used. Select the two options which are correct statements about the predictions based on this model. Select one or more: The model can be used to predict the tide for up to 12 days. The smallest depth is 3 metres. At midday the depth is approximately 3.2 metres. The depth of water in the harbour falls after midnight. The largest depth is 7 metres. The time between the two high tides is exactly 12 hours. At midnight the depth is approximately 11 metres.
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