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Find the equations of the tangent and normal to the ellipse x^2+3y^2=2a^2 at the point (a,\frac{a}{\sqrt{3}}). If the tangent meets the x-axis at P and the normal meets the y-axis at Q, show that PQ touches the ellipse. Edit: So I've found the equation of the tangent: x+y\sqrt{3}=2a ......(1)...

What is the most awkward question you've ever asked? Year 6 - "Can I go to the toilet mum?" Wanted to die..

This question is from Ex. 3.2 of Terry Lee's textbook. Factorise x^5+5x^4+6x^3-2x^2-7x-3 as real factors, given that it has a repeated zero. The suggested solution is: f(x)=x^5+5x^4+6x^3-2x^2-7x-3 f'(x)=5x^4+20%20x^3+18%20x^2-4%20x-7 f''(x)%20=%2020%20x^3+60%20x^2+36%20x-4...

A minibus has 6 forward facing and 2 backward facing seats. If 8 people use the bus, in how many ways can they be seated (a) if 1 person must sit in a forward facing seat (b) if 2 people must sit in a forward facing seat? Thanks in advance :)

This is a question from Patel Ex.4A. Find x and y in (x-iy)^2=2i Any help would be greatly appreciated!

Just wondering if anyone has the 2010 Independent Preliminary Chemistry Paper and/or its solutions by any chance. It would be greatly appreciated if anyone could pm me if you have it. :) Thanks in advance!

Does anyone have preliminary Independent past papers for legal studies and/or economics please? I have been looking for them on the internet but I still can't find any :( It would be greatly appreciated if you could give them to me. Thanks in advance!

Hi, I'm currently looking for Physics, Math Extension 2 and English Advanced tutor(s) who know their stuff. I'm in Year 11 now and living in the Sutherland Shire. I prefer to have one-on-one tutoring at my place. If not, I'm willing to travel to your place or a library nearby for your...

I'm really stuck with permutations which is the most difficult Extension 1 topic for me so yeah... Okay so the question is: Ten balls of identical size are placed side by side in a line. If 4 balls are read in colour, 3 are blue and 2 are green and 1 is white, in how many arrangements will...

Question: Find the total number of even numbers greater than 500 but less than 4000 which can be formed using the digits 1, 2, 3, 4, 5, 6 if NO digit can be repeated in any number. Thanks for any help!

Question: Find the number of code words involving 4 distinct letters chosen from the letters in the word forest (a) if there are no restrictions (b) if no code word contains both the letters R and S. (a)Solution: 6P4=360 (I got this one) However I'm stuck with part (b). (b)Solution: 360 -...

A girl has 5 tickets in a raffle in which there are 2 prizes and 40 tickets sold. Find the probability of her winning a prize. So, I'm just wondering whether "winning a prize" actually means "winning exactly one prize" or "winning at least one prize". Thanks for any help!