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This question requires selecting the correct double angle formulae.
cos(2x)=2cos^2(x)-1 is rearranged to 1/2(cos(2x)+1)
this can now be integrated with the students knowledge of standard integra...

2x + y = 18x - y = 6. There are a few methods you can use to tackle simultaneous equations. The one I find the easiest is making one of the unknowns a subject and plugging it back into the other equ...

Completing the square is a method of solving quadratic equations that can't be factorised. The end goal is to express the quadratic in the form:(x + a)² = -bWhich allows us to root both sides a...

The first step would be to rearrange the first equation to make y the subject:
3x+y=-4 ----> y=-4-3x
Next we want to substitute this value of y into the second equation
3x-4y=6 ----->...

f(12)=((212)+1)^0.5=25^0.5=5 (simply substitute 12 into the original function)To find f'(12) we need to first find the derivative of the function and then we can substitute 12 in like we did before.f'...