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Finding the solutions to trig equations begins in a very similar way to when we do it at GCSE. We start with:cos(2x) = 2^-1/2 0 <= x <=piand correct our range, as we are interested in 2x n...

y²e^2x = 3y + x²1) Differentiation: Product rule, Explicity differentiation.2) Rearrangement: Collecting terms, Making dy/dx subject.

With linear simultaneous equations the best thing to do is find one variable first and in this question we will find x first. We will start by rearranging the second equation to give us y = x - 6. Now we ...

Simplify the numerator (top) by finding the pair of numbers which multiply together to give the C term of the quadratic, and add to give the B term. This gives 2 and 5 so the equation becomes (x+2)(x+5) /...