Concept explainers
(a)
To find: The time for the next tide.
(a)
Answer to Problem 33AYU
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 11:20 Am and the low tide is at 5:31 PM.
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 33AYU
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 3 PM on July 25.
(c)
Answer to Problem 33AYU
The height of the water is
Explanation of Solution
Consider the sinusoidal function is,
Consider at 3:00 AM the sine wave function is,
Chapter 6 Solutions
Precalculus
Additional Math Textbook Solutions
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