Find the point of contact between the tangent and curve with equation \(y = 5{x^2} - 2x + 3\) when the gradient is \(\frac{4}{3}\). First of all, we need to differentiate the equation of the curve ...

An object is moving counter-clockwise along a circle with the centre at the origin. At \(t=0\) the object is at point \(A(0,5)\) and at \(t=2\pi\) it is back to point \(A\) for the first time.