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I've done 2001 and gotten 85/120, 2002 - 75/120. hopfully improve by the time hsc comes.

Find the exact value for the series - 1+1/2^2+1/3^2+1/4^2+1/5^2+....+1/n^2

im self teaching 4unit, because its fun and my subjects bore me.

The quadratic function will be in the form ax^2 + bx + c (1,0) is when x = 1, y = 0 (1) a+b+c = 0 x = -2 (2) 4a -2b + c = 18 x = 3 (3) 9a + 3b + c = -2 solve simulatenously. x^2 + 5x -3 = ax^2 + ax + b(x^2+2x+1) + cx RHS = ax^2 + ax + bx^2 + b2x + b + cx = (a+b)x^2 + (a+2b+c)x + b Equation...

Draw the ASTC graph, you'll note that cos(x) = cos(-x) for whatver values of x.

2x^2+6x+1+kx^2+2k = (2+k)x^2 + 6x + 1+2k do the discriminant < 0 and k > -2 as 2+k > 0 for all x to be positive.