Concept explainers
(a)
To find: The time for the next high tide.
(a)
Answer to Problem 34AYU
The next high tide is
Explanation of Solution
Given:
The time between the two consecutive high tides is of 12 hours 25 minutes.
The time of high tide on July 25 is at
The height of the high tide is
The height of the water at low tide is
Calculation:
Consider the period between the two high tides is of
Thus, the next high tide is
(b)
To find: The sinusoidal function of the form
(b)
Answer to Problem 34AYU
The sinusoidal model is
Explanation of Solution
Consider the form of the sinusoidal function is,
Consider the amplitude of the sinusoidal function is,
Consider the value of the vertical shift is,
Consider the time period of the sinusoidal function is,
The time is divided into four sub intervals as
The local maximum is at
The local minimum is at
The required horizontal shift is
So, the sinusoidal model is,
(c)
To find: The height of the water at 6:00 PM.
(c)
Answer to Problem 34AYU
The height of the water is
Explanation of Solution
Consider the sinusoidal function is,
Consider the height of the tide at 6:00 PM is,
Chapter 6 Solutions
Precalculus
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (2nd Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Calculus & Its Applications (14th Edition)
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