The price (in dollars) of a computer component is p =10c−18c−1,p=10c−18c−1, where c is the manufacturer's cost to produce it. Assume that the cost at time t (in years) is c=9+7t−1c=9+7t−1 and determine the rate of change of the price with respect to time at t=3.t=3. (Use decimal notation. Give your answer to three decimal places.) DP/DT=

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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.