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 cos + 4 -t + 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. Preview TIP Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity

Question

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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 cos
+ 4
-t +
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.
Preview
TIP
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3,
2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity

Image Transcription

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 cos + 4 -t + 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. Preview TIP Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity

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Math
Calculus

Applications of Derivative