Q4  A business manager determines that t months after production begins on a new product, the number of units produced will be P thousand,where P(t) =6?2 + 5? /(? + 1)2 production in the long run  (i) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a distance x meters from the rupture.Turbulence makes it difficult to directly measure the thickness of the slick at the source (where x = 0),but for x > 0,it is found that y =0.5(x2 + 3x)/ x3 + x2 + 4x Required:a)Assuming the oil slick is continuously distributed,how thick would you expect it to be at the source?

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 A business manager determines that t months after production begins on a new product,
the number of units produced will be P thousand,where P(t) =6?2 + 5? /(? + 1)2

 production in the long run 


(i) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a distance x meters from the rupture.Turbulence makes it difficult to directly measure the thickness of the slick at the source (where x = 0),but for x > 0,it is found that
y =0.5(x2 + 3x)/ x3 + x2 + 4x

Required:
a)Assuming the oil slick is continuously distributed,how thick would you expect it to be at the source?

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