5. At a certain point on the beach, a post sticks out of the sand. The top of the post is 75 cm abovethe beach. The depth of the water at the post varies with time due to the tide. If h is the heightof the water t hours after midnight, the equation giving the water height is h(t) =( ½(t-3)) -40 cos+ 50.a)Sketch the graph of this functionb) What is the depth of the water at 11 AM?c) At what time of the day is the tide at its lowest point?d)During the first 12 hours, when is the post under water? Confirm your answer using thegraph.

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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...

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5. At a certain point on the beach, a post sticks out of the sa the beach. The depth of the water at the post varies with of the water t hours after midnight, the equation giving th 40 cos ((t− 3)) + 50.