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Let A be the area of a circle with radius r that is increasing in size with respect to time. If the rate of change of the area is 3 cm/s?

Let A be the area of a circle with radius r that is increasing in size with respect to time. If the rate of change of the area is 3 cm/s, find the rate of change of the radius when the radius is 6 cm.

1 Answer

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  • rotchm
    Lv 7
    4 weeks ago

    A = πr², right? Differentiating wrt t each side gives

    A' = π * 2r * r', right?

    You are given A' and r. So what is r' ?

    Done!

    don't forget to vote BA!

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