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It is a point on a graph described by its numerical values. For example (2,3) would be 2 along the x-axis and 3 along the y-axis.

i) By integration by parts, we see that it equals (x)(e^x)-(e^x)+C, where C denotes the constant of integration. ii) (x)(y)(e^x)+C, where C denotes the constant of integration.

First, you start by replacing sin^2(x) with 1-cos^2(x) as you want the equation to be in terms of cos(x) and you know sin^2(x)+cos^2(x) = 1. Then you rearrange the equation to get 0 on one side so that yo...

It states that for a right-angle triangle, the square of the hypotenuse equals the sum of the squares of the other sides. So if a denotes the hypotenuse, a^2 = b^2 + c^2.

When factorising a quadratic the idea is to separate it into two brackets, so first, I usually write out the empty brackets like this; (x___)(x___) You then need to think of numbers that you can put in th...