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victorling

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hello, everone
i have posted a same thread in maths2u forum to answer people's questions

feel free!

by victorling of'03

now tutoring maths2-4u
 
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:: ck ::

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man u're really desperate to get students aren't u.................
 

xiao1985

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well, he's takin up freakin_out's advice and start helpin pplz before tryin to get any more students i fink... ^^
 

Grey Council

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just hang around, when people have a problem they post it in the forums.

The problem is, you don't log on too often. Usually someone else helps. :(

And don't take that wrongly. I'm just saying. :)
 

J0n

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You should post this thread in the 4U forum, drbuchanan will give you the Riemann Hypothosis - if you solve that, i would love to have you as a tutor :D
 

victorling

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Originally posted by ToO LaZy ^*
....i need help wif curve sketching..=(
can anyone plz help..??

Q:
x^2 / x^2 + 4
solution: since the power of the denominator and the numerator are the same: both ^2, we need to simplify the question first

= x^2/ x^2 +4

= (x^2+4-4)/x^2+4

=(x^2+4)/(x^2+4) - (4/(x^2+4))

=1- (4/(x^2+4))

it is a graph with no vertical asymptote, one horizontal asymptote: y=1, turning point:(0,1)
As x aprroaches positive maximum, y approaches 1 but at a value smaller than 1
As x approaches negative maximum, y approaches 1 but at a value smaller than 1
 
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hey its me again...
still on the same topic : curve sketching

Q:
x / x^2+1

showing any TPs, inflexions or asymp.

thx buddy =)
 

Grey Council

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passes through 0,0, inflexion there, i think
turning point:
min at -1, -0.5
max at 1, 0.5
asymptote: y=0
note, horizontal asymptotes occur at infinity, thats why curve passes through 0,0
 

victorling

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Originally posted by GuardiaN
passes through 0,0, inflexion there, i think
turning point:
min at -1, -0.5
max at 1, 0.5
asymptote: y=0
note, horizontal asymptotes occur at infinity, thats why curve passes through 0,0

yep..sorry
i am going to post the graph tomorrow
too busy tonight
 
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ok here's one..
1.
i) by solving the equation z^3+1=0, find the three cube roots of -1

ii) let @ be a cube root of -1, where @ is not real. show that
@^2 = @-1

iii) hence simplify (1-@)^6 <----dunno understand this part


btw..this a 4u q
 

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