You are studying the impacts of rising sea levels on anestuary, and are modeling how the salinity of aparticular area changes with the tidal cycle. Themixed-tide cycle on this part of the coast has a periodof approximately 25 hours, giving the salinityfluctuation of the estuary a similar cycle. Twenty yearsago, the salinity was modeled by the functions (t) = 12 sin ( t) cost) + 15, where t is in2525hours and s (t) is the salinity in parts per million(ppm). But you have determined that the modelS (t) = 14 sin(t) cos (t) + 17 more closely2525fits the current data. • Find both s' (t) and S' (t), describing whatdifferentiation rules you use for each, and showingyour process.• Use technology to determine the values of t forwhich s' (t) and S' (t) have horizontal tangents.(Focus on the first period of the graphs, so t < 25.)

Given that st=12sin3π25tcosπ25t+15St=14sin3π25tcosπ25t+17 Here S(t), s(t) gives the salinity level…

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 8 (t) = 12 sin(t) 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 cos ( 25 25 fits the current data.

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 8 (t) = 12 sin(t) 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 cos ( 25 25 fits the current data.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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