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Does anyone know anything about Yukeembruk?

Thanks, that helps a lot.

my teacher recommended this university book to try practice mod 8 Proton NMR questions and trying to identify compounds based on spectra given, and it seems to be a good resource, however I am wondering if there is a way to know what the integration values are on the H NMR graph or if in uni ur...

Hey I just wanted to ask if there was any exam papers that were similar to the style of the LAT section 2, where you have to write the argumentative paper

The diagram shows an isosceles triangle PAB. PM. is the bisector of angle APB, where angle APB = β. PM bisects AB. A and B represent complex numbers z1 and z2 respectively Find the complex number MP and hence show P represents the complex number 1/2 ( 1-icot(β/2))z1 + 1/2(1+icotβ/2)z2 could...

ohhhh that makes so much more sense...

Thanks for the replies, however i still cant seem to figure it out, after replacing it with the dot product and expanding I am left with 1/2(5b^2+a^2+4ab) at which point I am not sure where else to go from there

If M is the midpoint of the side BC of triangle ABC. Let vector AB =a and vector AC = b a ) Find vectors AM and CM in terms of a and b i got AM = (3b+a)/2 , CM=(a+b)/2 part b) Show that |AM|^2 +|CM|^2 = 1/2 (|AB|^2 + |AC|^2) Need help with part b, I tried to sub in the vectors into the...

Yes! thanks for your help

Wanted to ask how to do this question. In the argand diagram below, Point P lies in the first quadrant on the unit circle. P represents the complex number w and z=w is a root of z^5=1. anglePOx=theta (I have not included the diagram, which is only a unit circle with a vector labelled P with...

Thank you so much!

I'm not, how are you 2026?

hey I was wondering if you could do part ii) using triangle inequalities instead of graphically? I know the first part is doable. Thanks.

After finishing my first term of year 12, my marks aren't looking great. I'm particularly concerned about my maths extension 2 mark, which I got 58% in my Proofs test, the average was 66%. I'm aiming for a high atar and I'm not sure I can even recover from this, this task was weighted 20% so I...