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)= 3sin (π/3 t + 4π/3) + 5 where t is the number of hours after midnight. Find the rate at which the depth is changing at 5 a.m.  Round your answer to 4 decimal places.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.