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(1) Find the gradient using differentiation (2) If the gradient at (x₁,y₁) is m,y - y₁ = m(x - x₁)
(1) We differentiate the given equation:dy/dx = 2x + 3 <...

The total number of 'parts' in this ratio is 5+3+2 = 10.

So, to work out how much of the total corresponds to 1 part, we need to divide the t...

  I have choose a quadratic equation as a common question . This is for both GCSE & A-level student. (2x)^2-x-1=0
To solve this equation we have four methods:- Factoring Completing square Quadrat...

The best way to tackle this sort of worded problem is to create a solvable equation. Lets call the bill before the voucher was used, X. So, the price after the voucher was applied is: = X...

To answer this we will use implicit differentiation with respect to x. So start by differentiating each term. On the left hand side 0 differentiates to 0. On the right hand side 5x² differentia...