2014 HSC Extension 2 Maths Carrotsticks' Solutions (1 Viewer)

Carrotsticks

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Also, for the angle between two lines, I didn't get rid of absolute values. Can somebody clarify?
 

rumbleroar

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Also, for the angle between two lines, I didn't get rid of absolute values. Can somebody clarify?
You get rid of it because you're given the condition a>b but in the brackets it's b^2-a^2, which is negative according to the condition
 

IR

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BTW carrot for 15c) iii) where you have to show increasing function is it valid to show in equivalent of sin theta/cos^2theta in terms of v, where derivative of both sides in respect to v gives 2lg/v^3, where v>0 for v>0 considering cos theta is even function which is >0 for -pi/2<theta<pi/2
 

Sy123

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Alternate solution for Q16 (c)



I might try to look for alternate solutions than Carrot's and post them here
 

iStudent

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Would you get 1 mark if you just did substitution and did the +1 -1 trick but then you didn't get the final answer? (I wrote 3 booklets of junk in hope to scab marks). It seems awkward it's 3 marks allocated for what, 4 lines? lol
 

dan964

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your justification for question 2 although valid, is probably not the most effective way to do it.
I did it by difference of two squares or something like that.
 

Mikasa

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Q16)
u = xlnx
dv/dx =1/x(1+lnx)^2

my friend did it in like 3 lines, lol.
 

rumbleroar

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Would you get 1 mark if you just did substitution and did the +1 -1 trick but then you didn't get the final answer? (I wrote 3 booklets of junk in hope to scab marks). It seems awkward it's 3 marks allocated for what, 4 lines? lol
Yeah I reckon you would :)
 

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