A tangent to a circle at point P is a straight line that touches the circle at P. The tangent is perpendicular to the radius which joins the centre of the circle to the point P. As the tangent is ...

Find \(\ds \lim_{h\to 0}\frac{f(1+h)-f(1)}{h}\) where \(\ds f(x)=\frac{3x+1}{x-2}\text{.}\) What does the result in (a) tell you about the tangent line to the graph ...

An object is moving counter-clockwise along a circle with the centre at the origin ... Find an expression for \(m\) and \(b\) (as functions of \(x_1\)) such that the equation of the line \(y=mx+b\) is ...