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I will upload pard d on please wait for that and show details and draw graph please 1. (5 points) Suppose an oil tanker starts

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I will upload pard d on please wait for that and show details and draw graph please

image text in transcribed
1. (5 points) Suppose an oil tanker starts leaking oil, creating an expanding circular oil spill on the water. (a) Draw a picture illustrating the situation, and label the radius of the oil spill with the variable r(t): (b) Express the surface area A(t) of the oil spill as a function of its radius r(t): (c) Clearly, if oil spill is expanding, both the surface area and the radius are increasing with time. Use the Chain Rule to express the rate of change of the surface area A(t) in terms of the radius r(t) and the rate of change of the radius: dA dt

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