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First sketch the curve and the line, noting down where they intersect each axis.area under y = 8 + 2x - x² is given by the integral between 0 and 4 of (8 + 2x - x²) dx.area under lin...

First we need to find a general form for an odd number, so that we can prove that when we square it, it will be 1 more than a multiple of 4 regardless of which odd number it is. An even number can always ...

x=1,y=0 or x=-3/5,y=4/5

Despite getting lots of practice being very important, maths is not really a memory based subject and you shouldn't be just going through the all the questions before you have tried to fully unde...

First, we integrate the equation with respect to t to find an equation for P. dP/dt = 3t² + 6t Then, P= integral (3t² + 6t) dt Integrating gives P= t³+3t²+c, c ...