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Have a picture of full working with annotation to go through during interview.Here is rough outline:y = cosh -1 (x)x = cosh(y)x = (e y +e -y )/22x = e y +e -y e y +e -y -2x = 0Turn into hidden quadratic by m...

Express 6 in the exponential form of (6*exp(2πin)), where n is an integertake the fourth root of this, remembering that taking the fourth root is taking to the power of 1/4, and by rules of indices the expre...

Firstly, I haven't seen the notation I used in alevel but I just used it for the sake of ease of typing it online.1st. Sub in the trial solution f(x)= Ae^(mx) and its derivatives- f'(x)= Ame^(mx) and f''(x)=...

Rewrite as arg(z-5) - arg(z-3) = π/6 and let arg(z-5) = b and arg(z-3) = a, so that b-a = π/6Since we know that each argument makes a half line (starting at (3,0) for angle a, (5,0) for angle b) the half lin...

First substitute (3x) into the equation for f(x), giving f(3x) = 8 - 9x 2 . This is then equal to -28 and so it is remains to solve the equation 8 - 9x 2 = -28. This can be written as 9x 2 = 36, dividing thr...