A product is introduced into the market. Suppose a product's sales quantity per month q(t)q(t) is a function of time t in months is given by q(t)=3000t−130t2 And suppose the price in dollars of that product, p(t)p(t), is also a function of time tt in months and is given by p(t)=130−t2 A. Find, R'(t), the rate of change of revenue as a function of time t   expanding and collected not required B. What is the the rate of change of revenue with respect to time 3 months after the introduction. C. Interpret your answer in part B include the units of the number in part B

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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.