1. Parametric equations for a curve are given by a: : cos :5, y : sin2 15. a) Eliminate the parameter t to nd an equation which involves only $ and y. b) What range of values of a: arise? What range of values of y arise? Make a neat, careful sketch of this portion of the graph. c) Now think of t as representing time7 and suppose that the equations describe the motion of a particle. Describe the motion of the particle as 15 moves through the range 0 g t S 277. Sketch the motion carefully on the graph above using arrows to indicate direction