Search over 10,000 free study notes

Differentiation is a very important tool for mathematicians. Although finding the gradient of a line can seem to lack a point, it does have some very important applications. For example, in mechanics the ...

1. y = cos2θ . 2) cos2θ = 1 - 2sin²θ. 3) x = 2sinθ. 4) x² = 4sin²θ. 5) (1/2)x² = 2sin²θ. 6) y = 1 - (1/2)x².

I have experience teaching in my own country about the subject.

First, my approach is to ask student to count the squares on the area under a curve. This process is tedious, and only gives an estimation. Next, I show them the formula to do integration, and immediately...

Before we get to solving the equation, let’s first review the method completing the square.

Completing the square is simply to convert an equation into the form of (x±a )^2, so it is possible to so...