Search over 10,000 free study notes

This exercise is asking to prove the existance of the square root of 2. So let's consider the function f(x) = x^2. Since f(x) is a polynomial, then it is continuous on the interval (- infinity, + infin...

A simple way to do this is to use substitution. You can pick values for x such as x=0,1,2 and find the values for y. When you have two or more coordinates you can plot the line.

In this c...

This is simple as long as you remember FOIL:
First

Outside

Inside

Last

So, for example, let's multiply out (2x+1)(4x-3)

Multi...

The way to find the length of one side of a triangle can be to use SOHCAHTOA, an abbreviation learnt to help rememeber the process. SOH stands for sin = opposite / hypotenuse , CAH stands for cos = adj...

Take the example x² + 5x + 6.You need to think of 2 numbers that multiple together to make 6, and add together to make 5. Therefore in the brackets we need 2 and 3. As all the signs are positiv...