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To show that the line is a diameter of the circle you muct show that it goes through the centre of the circle1) finding the centre of the circle. The general eqn is (x-a)² + (y-b)² =...

At any stationary point, the gradient of a line is zero.
Therefore dy/dx = 0. If we differentiate the equation of the line, and solve this expression we can find the coordinates of the stationary po...

To integrate this function, we must first recognise that ln(x) can be treated as 1 multiplied by ln(x). Using this knowledge, we can apply the 'integration by parts method' to integrate the function.Formu...