The revenue (in dollars) form the sale ofxcar seats is given byR(x)=80x−0.02x2, for 0≤x≤3000. (a) Find the average change in revenue if production is changed from 1200 car seats to 1800 car seats. (b) Find the instantaneous rate of change in revenue at a production level of 1500 car seats, given thatR′(x)=80−0.04x.

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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.