2- An efficiency study of the morning shift at a certain factory indicates that an average worker who arrives on the job at 8:00 A.M. will have produced Q0) = -r' + 61? + 24r units t hours later. a. Compute the worker's rate of production at 11:00 A.M. b. At what rate is the worker's rate of production changing with respect to time at 11:00 A.M. ?

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Q: snip

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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.