In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs. The sales rate (discs sold per day) on day t of the sale is predicted to be 70/t (for t ≥ 1), where t = 1 corresponds to the beginning of the sale, at which time none of the inventory of 200 discs had been sold. (a) Find a formula for the total number of discs sold up to day t. C(t) =   (b) Will the store have sold its inventory of 200 discs by day t = 50?  Yes or No.

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Q: You have a formula that gives return R, in dollars, that the operator must pay off after t months.…

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A: I am here to help you.

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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.