HSC 2013 Maths Marathon (archive) (1 Viewer)

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Sy123

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Re: HSC 2013 2U Marathon

Yea, you don't need to write full solutions, just the important steps will do.











 

RealiseNothing

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Re: HSC 2013 2U Marathon

Fixed latex, that is the right idea anyway, if you didn't make any mistakes its right

EDIT: Second integral is wrong
EDIT2: First integral is wrong as well
hahahah lovin' the edits
 

RealiseNothing

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Re: HSC 2013 2U Marathon

Yea, you don't need to write full solutions, just the important steps will do.











I was going to say an easy way to do this was using the AM-GM inequality, then I saw part (iii) lol.
 

superSAIyan2

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Re: HSC 2013 2U Marathon

^ can the AM-GM inequality be stated in 4U to show/prove things like (x+y+z) >= 3 x cube root of x
 

RealiseNothing

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Re: HSC 2013 2U Marathon

^ can the AM-GM inequality be stated in 4U to show/prove things like (x+y+z) >= 3 x cube root of x
You'll have to prove the AM-GM inequality, it's not hard though:

(squares are always positive)



 

Shazer2

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Re: HSC 2013 2U Marathon

That scared me so much, haha.
 

Shazer2

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Re: HSC 2013 2U Marathon

How come there are never any questions that are around the difficulty of the average 2U student? :p As much as I wish I could answer these, I just can't.
 

Sy123

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Re: HSC 2013 2U Marathon

How come there are never any questions that are around the difficulty of the average 2U student? :p As much as I wish I could answer these, I just can't.
Did you try part (i) yet?

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Shazer2

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Re: HSC 2013 2U Marathon

Yeah all I got to was changing to .

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Shazer2

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Re: HSC 2013 2U Marathon

Thanks! Another question that's not too hard? :)
 
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