Aruptured oil tanker causes a circular oil slick on the surface of the ocean. When its radius is 120 meters, the radius of the slick is expanding by 0.1 meter/minute and its thickness is 0.02 meter. At that moment: (a) How fast is the area of the slick expanding? Round your answer to three decimal places. i m?/min (b) The circular slick has the same thickness everywhere, and the volume of oil spilled remains fixed. How fast is the thickness of the slick decreasing? Round your answer to six decimal places. i m/min

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Two part Optimization Application Question refer to image below

Aruptured oil tanker causes a circular oil slick on the surface of the ocean. When its radius is 120 meters, the radius of the slick is
expanding by 0.1 meter/minute and its thickness is 0.02 meter. At that moment:
(a) How fast is the area of the slick expanding?
Round your answer to three decimal places.
i
m?/min
(b) The circular slick has the same thickness everywhere, and the volume of oil spilled remains fixed. How fast is the thickness of the
slick decreasing?
Round your answer to six decimal places.
i
m/min
Transcribed Image Text:Aruptured oil tanker causes a circular oil slick on the surface of the ocean. When its radius is 120 meters, the radius of the slick is expanding by 0.1 meter/minute and its thickness is 0.02 meter. At that moment: (a) How fast is the area of the slick expanding? Round your answer to three decimal places. i m?/min (b) The circular slick has the same thickness everywhere, and the volume of oil spilled remains fixed. How fast is the thickness of the slick decreasing? Round your answer to six decimal places. i m/min
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