The following equation shows your retainedinformation depending as a function of the hours of study. ?(t)=−t3+6t2+27tSay you wanted to find out at which point your ability to retain information (rate of retention) starts DIMINISHING. Find the number of hours of study at which this occurs.If this describes you, what is the best course of action after that amount of study? Graph the Function M(t) for 0≤x≤6. LABEL your axes and show your scales. Also mark the point of diminishing returns for studying and retaining information.

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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.