Suppose that the rate of consumption of a natural resource is c'(t), where c'(t) = ke". Here t is time in years, r is a constant, and k is the consumption in the year when t= 0. In 2010, an oil company sold 1.6 billion barrels of oil. Assume that r= 0.08. Complete parts a.-e. below. a. Write c' (t) for the oil company, letting t=0 represent 2010. c'(t) =|

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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.