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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' +x? + 2x If the oil slick is assumed to be continuously distributed, how thick is expected to be at the source? 4х +7 (ii) If f(x)=< 13x<2 determine whether the function f(x) is continuous 4x² –1 2

(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' +x? + 2x If the oil slick is assumed to be continuously distributed, how thick is expected to be at the source? 4х +7 (ii) If f(x)=< 13x<2 determine whether the function f(x) is continuous 4x² –1 2

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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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 3 S(x) = +x +2x If the oil slick is assumed to be continuously distributed, how thick is expected to be at the source? 4х +7 1<x<2 (ii) If f(x)=- determine whether the function f(x) is continuous 4x² – 1 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 3 S(x) = +x +2x If the oil slick is assumed to be continuously distributed, how thick is expected to be at the source? 4х +7 1<x<2 (ii) If f(x)=- determine whether the function f(x) is continuous 4x² – 1 2 < x<4° throughout its domain?
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