A company that manufactures pet toys calculates that its costs and revenue can be modeled by the equations C = 75,000 + 1.85x    and    R = 500x − (x2 divided by 25)   Where x is in the number of toys produced in 1 week. Production during one particular week is 5000 toys and is increasing at a rate of 350 toys per week. Find the rate at which the cost, revenue, and profit are changing.   a.) Cost =  b.) Revenue =  c.) Profit =

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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.