Water flows from the bottom of a storage tank at a rate of r(t) = 4(50 − t)e −0.05t liters per minute, where 0 ≤ t ≤ 50 minutes. 1. Find the exact amount of water that flows from the tank during the first 10 minutes.

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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.