You are studying the impacts of rising sea levels on an estuary, and are modeling how the salinity of a particular area changes with the tidal cycle. The mixed-tide cycle on this part of the coast has a period of approximately 25 hours, giving the salinity fluctuation of the estuary a similar cycle. Twenty years ago, the salinity was modeled by the function s (t) = 12 sin t) -t) + 15, where t is in 25 25 hours and s (t) is the salinity in parts per million (ppm). But you have determined that the model S (t) = 14 sin (t) cos t ) cos 25 + 17 more closely 25 fits the current data. • Graph both s (t) and S (t) using technology. What do you observe about the two functions? How are they the same? How are they different?
You are studying the impacts of rising sea levels on an estuary, and are modeling how the salinity of a particular area changes with the tidal cycle. The mixed-tide cycle on this part of the coast has a period of approximately 25 hours, giving the salinity fluctuation of the estuary a similar cycle. Twenty years ago, the salinity was modeled by the function s (t) = 12 sin t) -t) + 15, where t is in 25 25 hours and s (t) is the salinity in parts per million (ppm). But you have determined that the model S (t) = 14 sin (t) cos t ) cos 25 + 17 more closely 25 fits the current data. • Graph both s (t) and S (t) using technology. What do you observe about the two functions? How are they the same? How are they different?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
Transcribed Image Text:You are studying the impacts of rising sea levels on an
estuary, and are modeling how the salinity of a
particular area changes with the tidal cycle. The
mixed-tide cycle on this part of the coast has a period
of approximately 25 hours, giving the salinity
fluctuation of the estuary a similar cycle. Twenty years
ago, the salinity was modeled by the function
s (t) = 12 sin(t
t) cos
25
t) + 15, where t is in
25
hours and s (t) is the salinity in parts per million
(ppm). But you have determined that the model
S (t) = 14 sin (t) cos (t) + 17 more closely
25
25
fits the current data.
Graph both s (t) and S (t) using technology.
What do you observe about the two functions?
How are they the same? How are they different?
Expert Solution
Given
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning