The curve \(C\) is defined by the parametric equations \(x=2t^2+3\) and \(y=5t-1\), where \(t\geq\frac15\).
Find the exact area between the curve \(C\), the \(x\)-axis and the line \(x=21\).[3]
The curve \(D\) is defined by the parametric equations \(x=5u\) and \(y=\frac4u\), where \(u\ne0\).
Find a point of intersection, \(A\), of the curves \(C\) and \(D\). Show that there are no other points of intersection.[5]
Find the coordinates of the point where the tangent to curve \(C\) at the point \(A\) meets curve \(D\) for a second time.[5]