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Firstly, we note that a 'root' is simply a solution of the equation (at least, in this case). Let's start from what we've been told: x = 1/2 is a root of the equation. Since it's a solution, let's sub it ...

While traditional techniques and drawing are certainly important in the A Level, they only count for a small percentage of your grade. Coursework projects that receive the top grades will present a consis...

Chloride ions have a greater charge density than bromide ions due to their smaller size, and therefore attracts the delta positive H in the water molecule more strongly. This would be approximately a 3 ma...

a) ask student: purpose of differentiation (i), how to perform differentiation (ii) (i) to find the gradient of a curve (ii) multiply the coefficient of x by its indice then minus one from the indici perf...

Recall that ∫uv'=uv- ∫u'v Set u=sin²(x), v'=1 Therefore u'=2sin(x)cos(x) and v=x which gives us the following:

∫sin²(x)dx = xsin²(x) - ∫2xsin(x)cos(x)dx

The second integral in the above expr...