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1. Determine intersections with the x and y axis, intersections at x axis occur when y=0 and intersections with the y axis occur when x=0.2) Differentiate function to find stationary points (by setting...

y₁ = -3x²- 9x + 30 , y₂ = x² + 3x - 10Equate two curves ( y₁ = y₂ )Obtain following simplified quadratic: x² + 3x + 10 = 0Facto...

To solve this problem I would begin by rearranging the first equation to equal X.1) x + y = 1 -> x = 1 - yI would then substitute this into the second equation.2) 2x + 3y = 9 -> 2(1-y) + 3y = 9Then ...

This is a question from Higher Tier and involves 1) realising that 2nd difference is a constant: 6. 2) knowing that constant 2nd difference implies the sequence is quadratic. 3) remembering or proving tha...

Recall that the general term in the binomial expansion of (x+y)^n is (nCr)(x^n-r)(y^r), so by the binomial theorem, the entire expansion is the sum of these terms from r = 0 to n. In this case, n = 33, th...