The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function ㅠ 4 sin =t+ 6 D(t) = 4 sin 7π 755) 6 +3 where t is the number of hours after midnight. Find the rate at which the depth is changing at 1 a.m. Round your answer to 4 decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the
function
π
D(t) = 4 sin -t +
7π
6
+3
where t is the number of hours after midnight. Find the rate at which the depth is changing at 1 a.m.
Round your answer to 4 decimal places.
Transcribed Image Text:The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function π D(t) = 4 sin -t + 7π 6 +3 where t is the number of hours after midnight. Find the rate at which the depth is changing at 1 a.m. Round your answer to 4 decimal places.
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