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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 (*) 57 D(t) = 2 sin 4 -t + +3 4 where t is the number of hours after midnight. Find the rate at which the depth is changing at 6 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 (*) 57 D(t) = 2 sin 4 -t + +3 4 where t is the number of hours after midnight. Find the rate at which the depth is changing at 6 a.m. Round your answer to 4 decimal places. ft/hr

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 D(t) = 2 sin t+ 4 4 + 3 where t is the number of hours after midnight. Find the rate at which the depth is changing at 6 a.m. Round your answer to 4 decimal places. ft/hr
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 D(t) = 2 sin t+ 4 4 + 3 where t is the number of hours after midnight. Find the rate at which the depth is changing at 6 a.m. Round your answer to 4 decimal places. ft/hr
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