The depth (d) metres of water in a harbor varies with the tides during each day. The first high (maximum) tide after midnight occurs at 5:00 am with a depth of 5.8 metres. The first low (minimum) tide occurs at 10:30 am with a depth of 2.6 metres. (a) Find a trigonometric function that models the depth, d, of the water t hours after midnight. (b) Find the depth of the water at 12 noon.
The depth (d) metres of water in a harbor varies with the tides during each day. The first high (maximum) tide after midnight occurs at 5:00 am with a depth of 5.8 metres. The first low (minimum) tide occurs at 10:30 am with a depth of 2.6 metres. (a) Find a trigonometric function that models the depth, d, of the water t hours after midnight. (b) Find the depth of the water at 12 noon.
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 harbor varies with the tides during each day. The first high (maximum) tide after midnight occurs at 5:00 am with a depth of 5.8 metres. The first low (minimum) tide occurs at 10:30 am with a depth of 2.6 metres.
(a) Find a trigonometric function that models the depth, d, of the water t hours after midnight.
(b) Find the depth of the water at 12 noon.
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