CAS MA 123 Lecture 18: Related Rates Cont and Maxima and Minima
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16 Oct 2015
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Ma123 lecture 18 related rates continued and maxima and. Suppose we have an inverted cone (upside down cone) that is 10 inches in height and the radius of the base is 2 inches. Suppose we fill it with water but then we let the water flow out of the tip at a rate of 2 in3/sec. Height h=h(t) of the water depends on a time parameter t when h=3. If v=v(t) represents volume of water cone then we know d v dt. If a cone has height h and base radius r then its volume is given by v= Since the cone of water exists in the fixed cone the ratio of height to radius remains constant r h = tan = . In our situation then, we get v = 1. Get the relationship between rates of change: dv dt.