Some of the highest tides in the world occur in the Bay ofFundy on the Atlantic Coast of Canada. At Hopewell Capethe water depth at low tide is about 2.0 m and at high tideit is about 12.0 m. The natural period of oscillation is alittle more than 12 hours and on June 30, 2009, high tideoccurred at 6:45 AM. This helps explain the following modelfor the water depth D (in meters) as a function of the time(in hours after midnight) on that day: D(t) = 7+ 5cos [0.503(t -6.75)])How fast was the tide rising (or falling) at the followingtimes?(a) 3:00 AM (b) 6:00 AM(c) 9:00 AM (d) Noon

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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Some of the highest tides in the world occur in the Bay of
Fundy on the Atlantic Coast of Canada. At Hopewell Cape
the water depth at low tide is about 2.0 m and at high tide
it is about 12.0 m. The natural period of oscillation is a
little more than 12 hours and on June 30, 2009, high tide
occurred at 6:45 AM. This helps explain the following model
for the water depth D (in meters) as a function of the time
(in hours after midnight) on that day:

D(t) = 7+ 5cos [0.503(t -6.75)])
How fast was the tide rising (or falling) at the following
times?
(a) 3:00 AM (b) 6:00 AM
(c) 9:00 AM (d) Noon

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