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The greatest tennis tournament BEGINS. For recent grass tournaments, we have: Murray winning the 2013 edition of Queens while Federer won the 2013 edition of Halle. ANALYSING THE PLAYERS' CURRENT/RECENT FORM DJOKOVIC, Novak (SRB) [1] - 2011 champion - Won the AO 2013. 2013 FO semi-finalist...

Prove that the hyperbola with equation x^2 - y^2 = a^2 is the hyperbola xy = 1/2.a^2 referred to different axes. Do you use perpendicular distances or something? Not sure how to do it.

Quoted from - http://www.smh.com.au/nsw/selective-high-schools-should-let-in-local-students-insists-mayor-20130222-2ewyq.html TWO of the state's top selective high schools on Sydney's north shore should introduce comprehensive classes for local students to help cope with the area's enrolments...

What do I let u = ? For the above equation. I was thinking u = 1 - x^3 but not sure what to do. :(

(No diagram available) In the diagram, A(-1,1) and B(2,4) are the points of intersection of the parabola y=x^2 with the line y=x+2. The point P(t,t^2) is a variable point on the parabola below the line. (i) Find the area of the parabolic segment APB. Found it: A = 9/2 units^2 (ii)...

Diagram (unavailable) shows point P(t,t^2) and Q (1-t, (1-t)^2) on parabola y = x^2. R is intersection of tangents to parabola at P & Q. (I've done the previous parts to the question I'm asking so I'll skip those) Given that tangents intersect at R(1/2, t-t^2) (already proved it...

A printed page of a book is to have side margins of 1cm, top margin of 2cm and a bottom margin of 3cm. It is to contain 200cm^2 of printed matter. Find the dimensions of the page if the area of paper used is to be a minimum. Working so far: A = (x+5)(y+2) xy = 200 x = 200/y A(y) =...

Yeah, I'll post any problems I have in this thread. If you were to represent, using a graph, time of flight (t) vs launch velocity (u), would it be a horizontal line? If you were to represent, using a graph, horizontal range vs launch velocity (u), would it be a straight line with a...

f(x) = (log(e)x)/x Use the fact that the maximum value of f(x) occurs at x = e, deduce that: e^x >= x^e for all x>0

'what strategies are used in the second paragraph to increase the power of writing?' - would strategies be language devices? What is meant by power of writing?

'what strategies are used in the second paragraph to increase the power of writing?' - would strategies be language devices? What is meant by power of writing?

I need hints on how to do q11 b in the yr 12 Cambridge book.

I got answers but not too sure if it's right so wanted to confirm: Find the Cartesian equation of the following set of points: 1. [a(p+q), apq], given that p - q = 1 + pq My answer: x^2 - a^2 = y(y+6a) 2. [t - (4/t), (t^2/2) + (8/t^2)] My answer: x^2 = 2(y-4)

Sketch the region on the Argand Diagram (z* is z conjugate) |z^2 - z*^2 | ≤ 1 My working out |4xyi| ≤ 1 I got y ≤ 1/4x, am I wrong? I'll post more questions later when I need help.

The shaded region in the diagram is bounded by the circle of radius 2 centred at the origin, the parabola y = x^2 - 3x +2, and the x-axis. By considering the difference of two areas, find the area of the shaded region.

What is the potential at X in the circuit below: How to do this? (I need full solution and pointers on how to do these types of questions)

So I'm currently facing a dilemma in choosing my Year 12 HSC subjects in terms of what to drop and what to keep: Currently I do: (Preliminary) Advanced English Extension 1 English Mathematics Mathematics Extension 1 Physics Business Studies Economics Despite Physics being my worst subject...

In how many ways can 5 men and 5 women be arranged in a circle so that the men are separated? I got 2880 so 5! x 4! Continuation: In how many ways can this be done if two particular women must NOT be next to a particular man? I thought it was something like: 2880 - (the ways where the two...

P(2ap,ap^2) is any point on the parabola x^2 = 4ay other than its vertex. The normal at P meet the parabola again at Q. Show that the x-coordinate of Q is one of the roots of the quadratic equation: . Then find the co-ordinates of Q. Do we use the quadratic formula to find the x-value of Q or...