The water level rises and falls daily in Chesapeake Bay. On a certain day, the depth of the water at the naval dock in Annapolls is modeled by D (t) = 18 + 2 sin(0.5t) Where D is measured in feet and t is time in hours after midnight. The argument of the cosine function is in radians. What is the rate of change in the depth of the water after 6 hours. Round your answer to 2 decimal places. a. 0.14 b. 17 C. -0.99 d. -0.14

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter67: Analysis Of Trigonometric Functions
Section: Chapter Questions
Problem 12A
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The water level rises and falls daily in Chesapeake Bay. On a certain day, the depth of
the water at the naval dock in Annapolls is modeled by
D (t) = 18 + 2 sin(0.5t)
Where D is measured in feet and t is time in hours after midnight. The argument of
the cosine function is in radians.
What is the rate of change in the depth of the water after 6 hours.
Round your answer to 2 decimal places.
a. 0.14
b. 17
C.
-0.99
d. -0.14
Transcribed Image Text:The water level rises and falls daily in Chesapeake Bay. On a certain day, the depth of the water at the naval dock in Annapolls is modeled by D (t) = 18 + 2 sin(0.5t) Where D is measured in feet and t is time in hours after midnight. The argument of the cosine function is in radians. What is the rate of change in the depth of the water after 6 hours. Round your answer to 2 decimal places. a. 0.14 b. 17 C. -0.99 d. -0.14
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