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Re: HSC 2016 4U Marathon The ellipse a has equation x^2/100 + y^2/75 = 1 Find the equation of the circle that is tangential to the ellipse at P (5,-7.5) and Q (5,7.5)

Re: HSC 2016 4U Marathon The ellipse e has equation x^2/100 + y^2/75 = 1 Find the equation of the circle that is tangential to the ellipse at P (5,7.5) and Q (5,7.5)

Re: MX2 2016 Integration Marathon integral of (cos x ) / (2 - cos x )

Re: HSC 2016 4U Marathon Given P ( a cos theta , b sin theta ) and Q ( a cos phi , b sin phi ) lie on the ellipse x^2/a^2 + y^2/b^2 = 1 IF PQ subtends a right angle at (a,0) show that ( tan theta/2 ) X ( tan phi/2 ) = -b^2/a^2 How does b (sin theta - sin phi ) / a (cos theta - cos phi) = b/a...

Re: MX2 2016 Integration Marathon also sorry for double post i think this conics stuff is really messing with me, this is some stupid trig identity thing with this conics that isnt really clicking with me: How does b (sin theta - sin phi ) / a (cos theta - cos phi) = b/a * ( 2 sin (...

Re: MX2 2016 Integration Marathon Given P ( a cos theta , b sin theta ) and Q ( a cos phi , b sin phi ) lie on the ellipse x^2/a^2 + y^2/b^2 = 1 IF PQ subtends a right angle at (a,0) show that ( tan theta/2 ) X ( tan phi/2 ) = -b^2/a^2

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Silly question which is why im stuck. Why is (n+1)^2 > 10n + 2n +1? by using the inductive hypothesis.

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread 1) Prove n^2 > 10n + 7 using induction, n>=11 2) Prove 2^n > 3n^2 for n>=8

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread (Induction) P.g. 235 Question 4 (a) (i) For even n: n^3 + 2n is divisible by 12. (B) (ii) n^2 + 2n is a multiple of 8. In the final step of the induction process for 4(a) i end up with 6k^2 +12k +12 +12m. Am i allowed you just...

Re: HSC 2016 4U Marathon The equation x^3 + 2x + 1 = 0 has the roots a,b,c Find the monic cubic equation with roots (b+c)/a^2 , (a+c)/b^2 and (a+b)/c^2