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According to the observation of Nautical Department, the depth of water at the end of a dock in Port Klang varies with the tides throughout the day. The following table shows the depths (in feet) at various times. Ti 12.00 10.00 10.00

According to the observation of Nautical Department, the depth of water at the end of a dock in Port Klang varies with the tides throughout the day. The following table shows the depths (in feet) at various times. Ti 12.00 10.00 10.00

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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Question 4 According to the observation of Nautical Department, the depth of water at the end of a dock in Port Klang varies with the tides throughout the day. The following table shows the depths (in feet) at various times. Time (t) 12.00 am Depth (y) 2.6 (a) (b) (c) 2.00 am 7.9 4.00 am 12.4 6.00 am 8.00 am 9.8 3.8 10.00 am 0.6 Find the depths at 7.00 am and 4.00 pm. 12.00 pm 1.2 Sketch the graph of the given data manually and find a periodic function of the form y = Acos (Bx-C) +D to model the data. By using a graphing utility, plot the graph of the model, and hence, determine the times in the afternoon that a boat can safely dock if the boat needs at least 10 feet of water to moor at the dock.
Transcribed Image Text:Question 4 According to the observation of Nautical Department, the depth of water at the end of a dock in Port Klang varies with the tides throughout the day. The following table shows the depths (in feet) at various times. Time (t) 12.00 am Depth (y) 2.6 (a) (b) (c) 2.00 am 7.9 4.00 am 12.4 6.00 am 8.00 am 9.8 3.8 10.00 am 0.6 Find the depths at 7.00 am and 4.00 pm. 12.00 pm 1.2 Sketch the graph of the given data manually and find a periodic function of the form y = Acos (Bx-C) +D to model the data. By using a graphing utility, plot the graph of the model, and hence, determine the times in the afternoon that a boat can safely dock if the boat needs at least 10 feet of water to moor at the dock.
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