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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,