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 a.m. This helps explain the following model for the water depth D (in meters) as a function of time t (in hours after midnight) on that day: D (t) = 6 + 7 cos (0.503(t - 6.75)). How fast was the tide rising (or falling) at the following times? a. 6:00 a.m. b. 2:00 p.m.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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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 a.m. This helps explain the following model for the
water depth D (in meters) as a function of time t (in hours after midnight) on that day:
D(t) = 6 + 7 cos(0.503(t - 6.75)). How fast was the tide rising (or falling) at the
following times?
a. 6:00 a.m.
b. 2:00 p.m.
Transcribed Image Text: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 a.m. This helps explain the following model for the water depth D (in meters) as a function of time t (in hours after midnight) on that day: D(t) = 6 + 7 cos(0.503(t - 6.75)). How fast was the tide rising (or falling) at the following times? a. 6:00 a.m. b. 2:00 p.m.
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