Search over 10,000 free study notes

A quantity may be a scalar (just a magnitude, just a number) or a vector, with magnitude and direction. For example, speed is a measure of how fast something is going, but velocity is a measure of how fas...

y=3x⁴-8x³-3
Let's say we want to calculate dy/dx. For a term Axⁿ, the differential with respect to x is Anx^n-1. For a constant value, we can say t...

This is an example of an arithmetic series because each term is +4 from the previous term.This means for the "nth term" we start with +4n.Now we take a specific term from the sequence e.g. 3 (1s...

In order to expand the brackets, we need to ensure that EVERYTHING in the left bracket is multiplied by EVERYTHING in the right bracket. There are 3 methods for helping us to times out the brackets. These...

These sorts of questions can look difficult, but if you learn the steps needed to solve them then they are all very similar.Step 1: Since we are told that X is a carbohydrate, we know tha...