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 morming. t (time) midnight 2AM. 4AM. 6AM. BAM. 10 AM. p(depth) 5.76 8.16 12.16 14.08 12.16 8.16 7.26 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 equation. 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?

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 morming. t (time) midnight 2AM. 4AM. 6AM. BAM. 10 AM. p(depth) 5.76 8.16 12.16 14.08 12.16 8.16 7.26 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 equation. 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?

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter9: Integer Programming

Section9.2: Formulating Integer Programming Problems

Problem 9P

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