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If you imaging the equation as ax^2 +bx +cYou multiply the numbers of a and c together. This number then becomes the product of two numbers that either add or subtract to make the number for b.So 12 x 6 i...

Factorising a quadratic basing means 'putting it into 2 brackets'. The standard format for a quadratic equation is:ax^2 + bx + c = 0. You'll usually find that this becomes a lot easier when a=1. As well a...

The equation for the derivative of the natural log is dy/dx = f'(x)/f(x) where f(x) = the contents of the natural log, in this case 3x+2. So, to get dy/dx we first need f'(x), the derivative of f(x). This...

y= -4x-1y² = (-4x-1)² = 16x² +8x +1y² +5x² +2x = 0lets substitute what we found y² equal to earlier, which gives us(16x^2...

To solve this we must use integration by parts: int(udv) = uv - int(vdu) (1) Hence let u = ln(x), dv = dx => du=(1/x)dx, v=x, and now using (1) and substituting values we obtain int(ln(x)dx) = ln(x)x -...