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HSC Mathematics Marathon (1 Viewer)

cutemouse

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^ in any first semester uni maths course, and I think it was in the four unit syllabus ( along time ago, I have seen it asked in some really old 4unit hsc exams papers, like from 1970's, I remember I have seen someone post up a ton of old 4unit exams )
I don't think L'Hopital's rule was ever in the Level 1 course... since my maths teacher (who did the Level 1 maths course) said he did it in uni.
 

jyu

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Correct! Explain how you got the answer.
Anchored a particular boy. Arrange the remaining 9 boys. There are 10 gaps between the boys. Place the 5 girls (at most one in a gap) in the gaps.

9!10P5 = 10973491200
 

cutemouse

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New question: Find the locus of z if arg ((z-1)/(z+1))= pi/4
 

jyu

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New question:

Show
(sinx+sin3x+sin5x+sin7x+sin9x)/(cosx+cos3x+cos5x+cos7x+cos9x) = tan5x
 

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