Search over 10,000 free study notes

For a ball that has been thrown, it's height above the ground can be described by a quadratic equation of the time since it was thrown and gives a parabola.

The two real roots of the equation are t...

This  method will only work if your x term is divisible by 2. For example x² + 6x + 12. 

You then use the halved x term (e.g. 3x) to complete the square. The beginning of your factorisat...

To begin with, lets rewrite the equation in a way which is easier to understand by making y the subject and multiplying out the brackets:

y = x² - 4x - 14

this looks significantly...

To tackle this problem, we will spilt the two terms given.

Firsly, we'll take the sin(x) by itself: d/dx (sinx) = cos(x) - where d/dx means the ...