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For this problem we want to look to split it into logical steps We first identify that it is an integration problem without limits therefore there will be a constant of integration +C present The denomina...

y = x^4 - 12x^2
dy/dx = 4x^3 - 24x
The turning points are where dy/dx = 0
4x^3 - 24x =0
x(4x^2 - 24) = 0 Therefore one of the turning points is at x = 0
4x^2 - 24 = 0
4x^2 =...

The first thing we must realise is that there are brackets in this equation and thus this has to be dealt with. We expand out the brackets on the left side by multiplying 7 by x and 2 to obtain '7x+14'. W...

Note: There are multiple ways to do this, so find a way that works for you!Step 1: Get rid of the fraction.Step 2: Rearrange the new formula into y = mx + c.Step 3: Find the y-intercept and the x-intercep...

Example: y - 3x = 2 , x² + y² = 4 y= 3x + 2 x² + (3x+2)² = 4 10x²+ 12x + 4 = 4 10x²+12x=0 x(10x+12)=0 x=0 or x=-1.2 y=30 + 2 = 2 (0,2)...