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That was always my biggest problem with my GCSE maths, I would get excited when I thought I knew what I was doing then slip up with silly mistakes. One of the best ways I found, after checking over at the...
Here, we must first rearrange our equation so all x terms are on one side and all y terms are on the other. Multiplying both sides by dx and diving both by y^(1/2) gives us y^(-1/2)dy = sin(x/2)dx, which ...
For this, we use the FOIL method of expanding brackets; start by multiplying the FIRST terms of each bracket together to get xx=x^2. Next multiply the OUTSIDE elements, ie the first element in the fir...
To answer, we must be familiar with several trigonometric identities and expressions; first notice that tan(x)=sin(x)/cos(x). Now our function is a quotient of two functions of x that we can easily differ...
The solution to this question can be obtained algebraically using substitution. As both equations are equal to y, this also means they are equal to each other. So firstly, substitute the simpler equation ...
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