The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by thefunctionD(t):4 sint++34.4where 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

Given that: D(t)=4sin πt4+9π4+3

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 9 t + 4 +3 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 D(t) = 4 sin 9 t + 4 +3 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 (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.CR: Chapter Review

Problem 16E: Find the intensity of light at a depth of 12 meter if I0=14 and k=0.7. Round to two decimals.

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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
D(t):
4 sin
t+
+3
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

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