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3. The water at a local beach has an average depth of 1 meter at low tide. The average depth of the water at high tide is 8 m. If one cycle takes 12 hours: (a) Determine the equation of this periodic function using cosine as the base function where o time is the beginning of high tide. (b) What is the depth of the water at 2 am? (c) Many people dive into the beach from the nearby dock. If the water must be at least 3 m deep to dive safely, between what daylight hours should people dive? Time (h) Height (m)

3. The water at a local beach has an average depth of 1 meter at low tide. The average depth of the water at high tide is 8 m. If one cycle takes 12 hours: (a) Determine the equation of this periodic function using cosine as the base function where o time is the beginning of high tide. (b) What is the depth of the water at 2 am? (c) Many people dive into the beach from the nearby dock. If the water must be at least 3 m deep to dive safely, between what daylight hours should people dive? Time (h) Height (m)

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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3. The water at a local beach has an average depth of 1 meter at low tide. The average depth of the water at high tide is 8 m. If one cycle takes 12 hours: (a) Determine the equation of this periodic function using cosine as the base function where o time is the beginning of high tide. (b) What is the depth of the water at 2 am? (c) Many people dive into the beach from the nearby dock. If the water must be at least 3 m deep to dive safely, between what daylight hours should people dive? Time (h) Height (m)
Transcribed Image Text:3. The water at a local beach has an average depth of 1 meter at low tide. The average depth of the water at high tide is 8 m. If one cycle takes 12 hours: (a) Determine the equation of this periodic function using cosine as the base function where o time is the beginning of high tide. (b) What is the depth of the water at 2 am? (c) Many people dive into the beach from the nearby dock. If the water must be at least 3 m deep to dive safely, between what daylight hours should people dive? Time (h) Height (m)
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