(a(i)) Read \(f(2)\). [1]

(a(ii)) Solve \(f(x)=0\) for \(-1.5\le x\le5\). [3]

(a(iii)) \(f(x)=k\) has three solutions in this interval, with integer \(k\). Find the smallest possible \(k\). [1]

(a(iv)) Draw a line \(y=mx\) for which \(f(x)=mx\) has exactly one solution in this interval. [2]

(b(i)) For \(y=3x^2-12x+7\), find \(dy/dx\) at \(x=5\). [3]

(b(ii)) Find its stationary point. [2]

(c) If \(y=2x^p+qx^2\) and \(dy/dx=14x^6+6x\), find \(p,q\). [2]