At 2:00 PM a car's speedometer reads 30 mi/h. At 2:15 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:15 the acceleration is exactly 80 mi/h2. Let v(t) be the velocity of the car t hours after 2:00 PM. Then V(1/4) – v(0) 1/4 – 0 By the Mean Value Theorem, there is a number c such that 0

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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.