• We need your support!

    We are currently struggling to cover the operational costs of Xtremepapers, as a result we might have to shut this website down. Please donate if we have helped you and help make a difference in other students' lives!
    Click here to Donate Now (View Announcement)

Mathematics: Post your doubts here!

Messages
247
Reaction score
300
Points
73
Messages
924
Reaction score
1,096
Points
153
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)
 
Messages
9
Reaction score
4
Points
13
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?
 
Messages
94
Reaction score
66
Points
28
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..
 
Messages
71
Reaction score
19
Points
18
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
 

Attachments

  • 143178941642026189228.jpg
    143178941642026189228.jpg
    2.2 MB · Views: 10
Messages
16
Reaction score
10
Points
13
Hey can someone help me with this question please! Thanks :)
 

Attachments

  • P_20150517_001257.jpg
    P_20150517_001257.jpg
    1.1 MB · Views: 11
  • P_20150517_001302.jpg
    P_20150517_001302.jpg
    1.1 MB · Views: 9
Top