A problem in optimization. Much better if you have an illustration. I really appreciate it if you can explain it too. Thank you so much in advance! Optimization:A circular oil slick of uniform thickness is caused by a spill of 1 m3 of oil. The thickness of the oil slick isdecreasing at a rate of 0.1 cm/hr. At what rate is the radius of the slick increasing when it is 8 m?

Answered: Image /qna-images/answer/b9c7b506-dbde-48ca-897d-6bc8b1faabda.jpg

Answered: Optimization: A circular oil slick of…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

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Optimization: A circular oil slick of uniform thickness is caused by a spill of 1 m3 of oil. The thickness of the oil slick is decreasing at a rate of 0.1 cm/hr. At what rate is the radius of the slick increasing when it is 8 m?