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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 ㅠ D(t) = 5 sin -t + 7π 4 +4 where t is the number of hours after midnight. Find the rate at which the depth is changing at 4 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 ㅠ D(t) = 5 sin -t + 7π 4 +4 where t is the number of hours after midnight. Find the rate at which the depth is changing at 4 a.m. Round your answer to 4 decimal places. ft/hr

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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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) = = 5 sin ㅠ 4 t + 7π +4 where t is the number of hours after midnight. Find the rate at which the depth is changing at 4 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) = = 5 sin ㅠ 4 t + 7π +4 where t is the number of hours after midnight. Find the rate at which the depth is changing at 4 a.m. Round your answer to 4 decimal places. ft/hr
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