Remember throughout this assignment that to pararneterize a curve means to write down a vector function r(t) = (5.36:), y(t), 2:05)) that \"draws\" the curve as t ranges over some interval from [(5, b]. Being able to parameterize curves will be very important in this class. 1. (2 Points) Throughout this question, let R be a real number. Give a parameterization for the specied curve. As always, make sure to include a domain of parameterization. (a) The circle 9:2 + y2 = R2 in the icyplane, oriented counterclockwise. (b) The circle (1:2 + y2 = R2 in the icyplane, oriented clockwise. (c) The circle y2 + 22 = R2 in the plane :1: = 3, oriented counterclockwise. (d) The portion of the circle :52 + 22 = R2 in the plane 9! = 0 with :1; 2 0, z 2 0, oriented counterclockwise