(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...


(3)<br>(i) A broken pipe at an oil rig off the east coast of Trinidad produces a circular oil slick that is S<br>meters thick at a distance x meters from the break. It difficult to measure the thickness of the<br>slick directly at the source owing to excess turbulence, but for x>0 they know that<br>5<br>+<br>3<br>S(x) =<br>x' +x + 2x<br>If the oil slick is assumed to be continuously distributed, how thick is expected to be at the<br>source?<br>4x +7<br>1<x<2<br>(ii) If ƒ(x)=<<br>4х? - 1<br>determine whether the function f(x) is continuous<br>2<x<4<br>throughout its domain?<br>

Extracted 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 5 + 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? 4x +7 1<><2 (ii)="" if="" ƒ(x)="">< 4х?="" -="" 1="" determine="" whether="" the="" function="" f(x)="" is="" continuous=""><><4 throughout="" its="">

Jun 04, 2022
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