In calm waters, the oil spilling from the ruptured hull of a grounded tanker forms an oil slick that is circular in shape. If the radius r of the circle is increasing at the rate of 25 r'(t) = V 2t +1 ft/min t min after the rupture occurs, find an expression for the radius (in ft) at any time t. Hint: r(0) = 0. r(t) = How large (in ft?) is the polluted area 12 min after the rupture occurred? (Round your answer to the nearest thousand.)

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A: We can solve this as follows:

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