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7 May, 12:10

The surface area, S, of a sphere of radius r feet is S = S (r) = 4πr^2. Find the instantaneous rate of change of the surface area with respect to the radius r at r = 8.

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  1. 7 May, 12:35
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    This is the derivative of S with respect to r, evaluated at r=8.

    dS/dr = 8πr

    Substituting r=8 into the above gives the answer of 64π.
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