Calculus 7E Early Transcendentals, James Stewart , Chapter 3.7, Question 22. Som

Question

Calculus 7E Early Transcendentals, James Stewart,    Chapter 3.7,   Question 22.

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 t (in hours after
midnight) on that day:

D(t) = 7+ 5 cos[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

Explanation / Answer

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