(i)   A broken pipe at an oil rig off the coast of Trindad 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   they know that  s(x) =  x2/2  +   5/3x/x3 +  x2  +  2x if the oil slick is assumed to be continuously distributed, how thick is expected to be at the source?

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