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First you need to remove the coefficient on the x^2. We do this by factorising the 2x^2 + 20x and placing the 2 from the x^2 outside a set of brackets. This looks like:2(x²+10x) +15 = 0Then we ...

To solve a simultaneous equation you should number your equations and re arrange one of them to make y the subject. (You could do it the other way and find the expression for x first)3x + y = 11 [1] and 2...

Since we have two functions of x being multipied togrther, we have to integrate this by parts. Therefore if we say, u=sinx and v'=e^x, then u'=cosx and v=e^x.Applying the integration b...

Firstly, we need to identify what this question is asking us to do. Looking at the equation we can see that we have one unknown value, which is x. It is therefore the value of x which we are being asked t...

Integration by parts follows the general form: ∫u (dv/dx) = u.v - ∫v (du/dx)Let x = uLet sin 7x = (dv/dx)∫x.sin(7x) dx = x.(-1/7)cos(7x) - ∫(-1/7)cos(7x).1 dx = (-x/7)cos(7x) + (1/49)sin(7x) + c