A raptured pipe in a North Sea oil rig produces a circlar oil slick that is y meters thick at a distance x meters from the rapture. Turbulance makes it difficult to directly measure the the thickness of the slick at the source (where x=0), but for x >0, it is found that y= 0.5(x2+3x)/x3+x2+4x. Assuming the oil slick is continiously distributed, how thick would you expect it to be at the source?

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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A raptured pipe in a North Sea oil rig produces a circlar oil slick that is y meters thick at a distance x meters from the rapture. Turbulance makes it difficult to directly measure the the thickness of the slick at the source (where x=0), but for x >0, it is found that y= 0.5(x2+3x)/x3+x2+4x. Assuming the oil slick is continiously distributed, how thick would you expect it to be at the source?

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