Cost of employee parking provided by a large firm has been increasing over the years. A business analyst approximates the yearly parking cost by an exponential function. Using P as the yearly parking cost in thousands of dollars and t as the number of years since 2015 (when the firm moved into the current location), the business analyst determines the parking cost function to be P(t) = 65(1.3)' . Find P'(t), the rate at which the parking cost is increasing according to the business analyst's model. Rate of change P'(t) =| thousands of dollars/yr

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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.