1. Consider the following vector valued function r} = {sin{t],cos(2t]}, g g t E g (a) Sketch the graph of t). lndicate with an arrow the direction in which t increases. (13) Set up an integral that computes the arelength of this curve (you do not have to evaluate the integral). 2. Find a suitable paranieterization for the following curves. (a) 23:2 + 23:2 =1 (13) 23:2 43: + 7+3y2 +123; = u (c) The line segment from {1, 2_.3) to (T, 5_. 3] 3. Convert the following points given in polar coordinates to Cartesian coordinates. (a) {f. E) (b) {Man-1(3)) =1. Convert the following points given in Cartesian coordinates to polar coordinates (r, 5') in two ways: 1. (r. 9) where r' :2" U and 5' E [0, 2a) and 2. {v.9} where r <: and e>