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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

First work out the area of the triangular face using the formula 1/2 A B sin c:1/2 x 1.4 x 1.4 sin(34) = 0.548m²
recall volume of a regular prism = area of face x length
hence V = 0.5...