The surface area S of an 8-in. high can is given by
, where r is the length of the radius.
a) Find the rate of change of the surface area with respect to the length of the radius.
b) What is the surface area of a can that is 8-in. high and has a radius of 2 in.?
c) Find the rate of change at r = 2 in.
(a) dS/dr = 4?r + 16r
(b) 40?
(c) 24? /in.
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