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Mathematics: Post your doubts here!

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HI. Can someone help me with this please?
QP: http://onlineexamhelp.com/wp-content/uploads/2013/11/9709_w12_qp_31.pdf
9709/31/ON/12 Q7 (ii). When I equate the denominator to 0, shouldn't I get both x=0 and 3y^3-1=0 ? Why does the mark scheme solve for only 3y^3-1=0?
MS: http://onlineexamhelp.com/wp-content/uploads/2013/11/9709_w12_ms_31.pdf
Thank you!
The equation was:
ln(xy) − y^3 = 1

Any logarthmmic function, ln(x), is only defined for the domain (0,infinity), this equation cannot be evaluated at x=0.

Domain is 0<x<inf.

btw I've been told that log functions are defined for negative numbers in more advanced mathematics, so this may be technically wrong but I think for A2 this is what you're supposed to know. (Cuz I never took A2)
 
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Yea I know.. But will the equation of the tangent also be equal to 0? I saw some qs in which they did that

the equation of the tangent can be equated to zero if you move everything to a side, the gradient however will only be equal to zero if its at a stationary point, Can I see the question you're talking about?
 
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When there are repeating letters in combinations, you split them into cases based on how many times the repeating letter occurs.
0A: 3C3 (choosing 3 from T,I,Z)
1As : 3 (from previous part)
2As : 3C1 (choosing 1 from T,I,Z)
3As: 1
Total = 8
thanku so much..
 
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Here's 5 ii) , I'm 100% sure there's a much easier and faster way to do it, but sadly I don't know , so I did it in the long way. I still obtained the correct answers though, I'll sketch 8) i) for you soon .
If someone knows the easier way please do cooperate .
Thanks
 

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Hey can someone help me with this question please! Thanks :)
 

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