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Let's take the example: 3(x + 2) + 2(x - 1)

Start with the first part: 3(x + 2)

We have to multiply what is outside of the bracket with the indivi...

First, recall that tan(x) can be rewritten in terms of sine and cosine.

tan(x) = sin(x)/cos(x)

The rephrasing of our question suggests that we should try the substitution ru...

We first rearrange the inequality to obtain

4x²-5x+1>0

Initially ...

To plot any graph, you need to find out where the curve cuts the x and y-axis, and where it's stationary points are, aswell as what type of stationary point you have.

Here are the steps:

a) The first part of this question is asking us to find points, (x,y), such that    x = -8. By taking the equation and substituting in x = -8, we should find values, y, such that the points given are (-8,...