A curve is given by x = 2t + 3, y = t
3 − 4t, where t is a parameter. The point A
has parameter t = − 1 and the line l is the tangent to C at A. The line l also cuts
the curve at B.
(a) Show that an equation for l is 2y + x = 7.
(b) Find the value of t at B.