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(i) A broken pipe at an oil rig off the east coast of

(i) A broken pipe at an oil rig off the east coast of

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(3) (i) A broken pipe at an oil rig off the east coast of Trinidad produces a circular oil slick that is S meters thick at a distance x meters from the break. It difficult to measure the thickness of the slick directly at the source owing to excess turbulence, but for x>0 they know that x 5 -+-X 2 3 S(x) = x' +x² +2x If the oil slick is assumed to be continuously distributed, how thick is expected to be at the source? 4x+7 1<x<2 (ii) If ƒ(x) =- |4x² – 1 determine whether the function f(x) is continuous 2<x<4' throughout its domain?
Transcribed Image Text:(3) (i) A broken pipe at an oil rig off the east coast of Trinidad produces a circular oil slick that is S meters thick at a distance x meters from the break. It difficult to measure the thickness of the slick directly at the source owing to excess turbulence, but for x>0 they know that x 5 -+-X 2 3 S(x) = x' +x² +2x If the oil slick is assumed to be continuously distributed, how thick is expected to be at the source? 4x+7 1<x<2 (ii) If ƒ(x) =- |4x² – 1 determine whether the function f(x) is continuous 2<x<4' throughout its domain?
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