PARAMETRIC DIFFERENTIAITON

1. For each of the following functions determine dy dx (a) x = t' + 1,y=13 -1 (b) x = 3 cost, y = 3 sint (c) x= t+ vt,y=t- vi (d) x = 213 + 1, y = 12 cost (e) x = te t, y = 2t2 + 1 2. For each of the following functions determine in terms of t d.x2 1. r = sint, y = cost 2. x = 3t' + 1,y = 13 -212 3. x = -t' + 2, y = sin(t + 1) 4. c=et,y=#3+t+1 5. x = 3t2 + 4t, y = sin 2t