In 2012, National Textile installed a new textile machine in one of its factories at a cost of $250,000. The machine is depreciated linearly over 10 years with a scrap value of $10,000. (a) Find an expression for the textile machine's book value in the t th year of use  (0 ≤ t ≤ 10).     (b) Sketch the graph of the function of part (a). (Sketch the graph as a line segment.)   (c) Find the machine's book value in 2016. $  (d) Find the rate at which the machine is being depreciated. $            per year

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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.