I Beyond the change in direction for mathematics, the invention of calculus represents a milestone of human thought. I This new mathematics would fuel a scientiﬁc, and then an
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The rate of change of the oil film is given by the derivative dA/dt, where A = πr 2 Differentiate both sides of the area equation using the chain rule. dA/dt = d/dt (πr 2 )=2πr (dr/dt) It is given dr/dt = 1.2 meters/minute. Substitute