Tide height as a function of time resembles a sinusoidal function during the time between low and high tide. At one such location on another planet with water, the tide has a high of 12.7 feet at 2 am and then the next low is -0.8 feet at 11 am (9 hours later). Find a formula for a sinusoidal function H(t) that gives the height tt hours after midnight.

Tide height as a function of time resembles a sinusoidal function during the time between low and high tide. At one such location on another planet with water, the tide has a high of 12.7 feet at 2 am and then the next low is -0.8 feet at 11 am (9 hours later). Find a formula for a sinusoidal function H(t) that gives the height tt hours 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

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Question

Tide height as a function of time resembles a sinusoidal function during the time between low and high tide.

At one such location on another planet with water, the tide has a high of 12.7 feet at 2 am and then the next low is -0.8 feet at 11 am (9 hours later).

Find a formula for a sinusoidal function H(t) that gives the height tt hours after midnight.

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