Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 22 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by 1 V = wr*h ft

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A: given :-  graph of f over the interval (0,6)  To see the interval where f is increasing.

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A: This question can be solved by applying the concept of logarithmic differentiation.

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A: This is a problem related to derivative of the function. Please follow the procedure given below.

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A: Solution is written in below steps.

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A: Function is called as an continuous if its right hand side and left hand side limit is equal.

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A: Topic = Derivative

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A: To find the derivative of the given function.

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A: Here, to find the set of points at which the function is continous.

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A: Solution is given below:

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A: I am attaching image so that you understand each and every step.

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A: Given query is to find the derivative.

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A: This question can be solved by first plotting the graphs to get the feel of the area enclosed.