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Consider\the\,identity\,(1-t)^n(1+t)^n\equiv%20(1-t^2)^n,\,where\,n\,is\,a\,positive\,integer,\,show\,that\,for\,integral\,values\,of\,r,\, \sum_{k=0}^{2r}(-1)^k\binom{n}{k}\binom{n}{2r-k}=(-1)^r\binom{n}{r}\,\,\,\,provided\,\,\,\,0\leq%20r\leq%20\frac{1}{2}n Any help would be appreciated :)

I thought they were the same thing??

This.

I wonder why we just want the magnitude... The question is asking for the ''velocity'' which is a vector defined by both magnitude and direction... So, if we only take the magnitude as the solution, we are just finding the speed but not the velocity which is the question asking for. What do you...

In Q.18 in Ex. 6.10 from Maths in Focus, "A weight is oscillating at the end of a spring, with velocity given by \small%20V^2=900-1600x^2cm/s. Find the maximum velocity of the weight." My solutions are: When \small%20x=0, \small%20v^2=900 \small%20v=\pm%2030cm/s The...

Thanks mate! But I don't understand why you take the absolute value of 6.5m/s as we are finding the velocity but not the speed? Edit: Or does the absolute sign indicate that the velocity can either be positive or negative?

Simple Harmonic Motion This is a question from Math in Focus. The period of a particle moving in *EDIT* SHM is 6s and its amplitude is 8cm. Calculate its velocity and acceleration (correct to 1 decimal place) when the displacement is 5cm from the centre of the motion. Okay so these are what...

I reckon it will be a good move if you drop it :)

Just so you know Senior Science is on 26/10/2012 starting at 13:55.

Eco and Legal better not be on the same day like in 2009 or 2010...

Do you look down on the Year 7 students at your school?

She's such a disgrace to my race :evilfire:

I think one of the English teachers at my school got 99.95 UAI. She's Asian though.

Rank: 300's Teachers: The English and Science teachers are quite decent. In general, the teachers are very nice and helpful but most of them don't really push us to work hard. (7/10) Resources: Okay, though there are quite insufficient resources in the HSIE department. (6/10) Performance: Well...

Same here :P

Much appreciated :)

Hey bleakarcher, Can you please link me to the thread where mirakon posted those notes? Thanks in advance!

This is not true. You can sit the SAT test whenever you feel like.

My local library :)

Much appreciated :)