SOLUTION: The radius r of a circle is increasing at a rate of 2 centimeters per minute. (a) Find the rate of change of the area when r = 6 centimeters. (b) Find the rate of change of

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Question 1186787: The radius r of a circle is increasing at a rate of 2 centimeters per minute.
(a) Find the rate of change of the area when r = 6 centimeters.

(b) Find the rate of change of the area when r = 34 centimeters.

Answer by ikleyn(52840)   (Show Source): You can put this solution on YOUR website!
.
The radius r of a circle is increasing at a rate of 2 centimeters per minute.
(a) Find the rate of change of the area when r = 6 centimeters.

(b) Find the rate of change of the area when r = 34 centimeters.
~~~~~~~~~~~~~~~


  the area  of a circle is  A = .


  (a)  the rate of change the area of the circle is


            =  =  =  =  = 75.36  cm^2 per minute  (rounded).    ANSWER



  (b)  Solve  it by the same way as (a)

Solved.



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