2011 hsc mx1 marathon (1 Viewer)

someth1ng

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The frog one looks very familiar - I think it's from a Ruse paper or something but I can't remember...
 

apollo1

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(i)

If k is a positive constant, show that the area bounded by the curve y = f(x) and the lines x = 0 and x = k and y = 1 is always less that LN 2.

(ii) - find the horizontal asymptote of this function.
 

barbernator

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P(x) is an odd polynomial of degree 3. It has (x+4) as a factor and,
when it is divided by (x−3) , the remainder is 21. Find P(x).
 

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