Frank’s Fight Milk Factory has a filling machine that initially cost $40, 000. Frank estimates that the useful life of the machine will be 12 years, at which time its salvage (scrap) value will be $4, 000. Assume that the price depreciates linearly. a. What is the rate of depreciation of the filling machine per year ? b. Write a linear function that gives the value of this machine in terms of the years t after its initial purchase (0 ≤ t ≤ 12). c. What will be the value of the machine in 6 years ?

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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.