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Logarithms allow us to calculate and manipulate indices in relation to regular numbers. The key thing to remember is that "log_xy" begs the question "wh...

Maths is something you can make use of for the rest of your life.Obviously, there are a vast number of jobs out there, such as engineering, which use mathematics everyday so if that's the sort of thing th...

Simultaneous equations have two or more unknown values, in this case there are two: x and y. To solve them, first we need to get one unknown by itself. In order to do this we need the coefficient of eithe...

y = x*ln(x)Let u = x, v = ln(x) => du/dx = 1, dv/dx = 1/x=> y = uv=> dy/dx = (du/dx)v + u(dv/dx) USING PRODUCT RULETherefore y = ln(x) + 1

There are three things to think about when sketching a quadratic graph: whether its a 'u' or 'n' shape, where it cuts across the y axis and where it cuts across the x axis (if it does). Let's look at an e...