(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 S(x)= x' +x +2xr If the oil slick is assumed to be continuously distributed, how thick is expected to be at the source? 4x +7 (ii) If f(x) = determine whether the function f(x) is continuous 14x²-1 2< x<4' throughout its domain?

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