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I have written "… " where I would imagine the student is replying. I have then provided prompts assuming that the student did not come up with the answer straight away. Integration can ...

We are trying to solve 27^-2/3. Firstly, using the index rule a^xy= (a^x)^y, this can be rewritten as (27^1/3)^-2. Lets tackle the value inside ...

When differentiating a composite function y = (4x²-1)³ , the chain rule needs to be used.
The chain rule is dy/dx= dy/du x du/dx
In this instance we need to assign u and y ...

First we need to draw a velocity-time diagram, which has time on the x-axis, or bottom, and velocity on the y-axis, or left.The ball begins from a stop, so we can draw a dot at (0,0). It accelerates until...

If Fred and Julie share £60 in a 5:7 ratio, Fred will get 5/12ths of the money and Julie will get 7/12ths of the money. All together there will be 12 parts of the money because 5 + 7 = 12So, you need to d...