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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.

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.

Calculus: Early Transcendentals
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 sand. The top of the post is 75 cm above the beach. The depth of the water at the post varies with time due to the tide. If h is the height of 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 function b) 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 the graph.
Transcribed Image Text:5. At a certain point on the beach, a post sticks out of the sand. The top of the post is 75 cm above the beach. The depth of the water at the post varies with time due to the tide. If h is the height of 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 function b) 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 the graph.
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