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Further Mathematics
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Solve the simultaneous equations xy=2 and y=3x+5.

x=1/3 and y=6 or x=-2 and y=-1

Answered by Seeitha S. Further Mathematics tutor
2328 Views

Given that y = cosh^-1 (x) , Show that y = ln(x+ sqrt(x^2-1))

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 = (ey+e-y)/22x = ey+e-y...

Answered by Max W. Further Mathematics tutor
4063 Views

differentiate arsinh(cosx))

let's start by defining y = arsinh(cos(x)). taking sinh of both sides gives sinhy = cosx. (since sinh(arsinhz) = z). Now we can differentiate both sides wrt x. The RHS differentiates to -sinx. We can use ...

Answered by Amit B. Further Mathematics tutor
1969 Views

Find the 4th roots 6

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 ex...

Answered by Nishil P. Further Mathematics tutor
2203 Views

Find the general solution to f''(x)+ 3f'(x)+ 2f(x)=0

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''(...

Answered by John D. Further Mathematics tutor
3602 Views

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