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Let u = x^1/3 The equation can therefore be written as: 3u^2+u-2=0 This can be factorised to: (3u-2)(u+1)+0 Therefore: u = 2/3 or u = -1 OR x^1/3 = 2/3 or x^1/3 = -1 So: x = (2/3)^3 or x = (-1)^3 x = 8/27 or...

Whilst this question seems complicated because numbers have been thrown in with words it is infact a simple question. There are 3 thirds in one. 1/3 + 1/3 + 1/3 = 1 Therefore there are 8 x 3 thirds in 8 8 x ...

In order to differentiate using the chain rule,you first need to know the chain rule. Chain rule : dy/dt * dt/dx = dy/dx. It is basic multiplication to get rid of the common factor of 'dt' in both equations ...

Firstly, as with any question, make sure to check your formula book in order to find any relevant equations. In this case, the one most relevant to us is U n = U 1 + d(n-1). From here we will need to find th...

To find the derivative of this, we must differentiate each term with respect to x. This implies d/dx(y^3+2xy+x^2-5=0). We can differentiate each term seperately so d/dx(y^3+2xy+x^2-5=0) is equal to d/dx(y^3)...