Answer to Question #266645 in Math for mert

Question

(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 2 3 2 5 2 3 ( ) 2 x x S x x x x     If the oil slick is assumed to be continuously distributed, how thick is expected to be at the source? (ii) If 2 4 7 ( ) 4 1 x f x x       1 2 2 4 x x     , determine whether the function f x( ) is continuous throughout its domain?