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The volume of a right circular cylinder of radius r and height h is V= ar h. (a) Assume that r and h are

  

The volume of a right circular cylinder of radius r and height h is V= ar h. (a) Assume that r and h are functions of t. Find V'(t). (b) Suppose that r = e 4t and h = e -8t, Use part (a) to find V'(t). (c) Does the volume of the cylinder of part (b) increase or decrease as t increases?

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