Question: A circle is growing so that the radius is increasing at the rate of 5 cm/min. How fast is the area of the circle changing

A circle is growing so that the radius is increasing at the rate of 5 cm/min. How fast is the area of the circle changing at the instant the radius is 20 cm? Include units in your answer.

Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 3x(1/3)+ 6x(4/3). You must justify your answer using an analysis of f (x) and f (x).

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