a) Using Geogebra or any other software, plot the given data and use regression to find the equation of the Trigonometric Function you obtained. Write it in function form. b) Find the amplitude from the given cquation. What does the amplitude represent in this problem. c) Find the period from the given equation, What does the period represent? d) If the high tide occurred at 4 A.M, based on your previous answer, what is the nearest time that it will occur again?
a) Using Geogebra or any other software, plot the given data and use regression to find the equation of the Trigonometric Function you obtained. Write it in function form. b) Find the amplitude from the given cquation. What does the amplitude represent in this problem. c) Find the period from the given equation, What does the period represent? d) If the high tide occurred at 4 A.M, based on your previous answer, what is the nearest time that it will occur again?
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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Transcribed Image Text:Part 3: Modeling Periodic phenomena with trigonometric functions:
Many real-life situations can be modeled by sine and cosine functions. The table below shows
the depth of water (in feet) at the end of a wharf as it varies with the tides at different times
during the moming.
E (time)
midnight 2AM.
4 AM.
6AM.
SAM.
10 AM.
noos
p(depth)
5.76
7.26
8.16
12.16
14.08
12.16
8.16
a) Using Geogebra or any other software, plot the given data and use regression to find the
equation of the Trigonometric Funetion you obtained. Write it in function form.
b) Find the amplitude from the given cquation. What does the amplitude represent in this
problem.
c) Find the period from the given equation. What does the period represent?
d) If the high tide occurred at 4 A.M, based on your previous answer, what is the nearest
time that it will occur again?
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