The median home price in the United States over the period January 2010–January 2015 can be approximated by P(t) = 4.5t2 − 15t + 180 thousand dollars (0 ≤ t ≤ 5), where t is time in years since the start of 2010.†  Part 1: Find P'(t) and P'(2). P'(t)= P'(2)=__________thousand dollars per year   Part 2: The median price of a home was increasing at a rate of $__________ per year in ____________.

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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.