The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function D(t) = 4 sin πT t + 6 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. ft/hr
The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function D(t) = 4 sin πT t + 6 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. ft/hr
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
Related questions
Question
![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
D(t) = 4 sin +
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.
ft/hr](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff58ebad7-4c7d-4972-95d3-7aed2bc3d9e0%2Fc6b6a239-83cc-43f4-80cf-12c9a0128831%2Fyr74th_processed.png&w=3840&q=75)
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
ㅠ
D(t) = 4 sin +
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.
ft/hr
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