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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

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
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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