Total revenue from selling a particular product depends upon the price charged per unit. Specifically, the revenue function is R = f(p) = 1,500p — 50p2 where R equals total revenue in dollars and p equals price, also stated in dollars. (a) What is total revenue expected to equal if the price equals $10? (b) What price(s) would result in total revenue equaling zero?

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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.