Graph 1 Graph 2 Graph 3 Graph 4 (Click on a graph to enlarge it.) a) Which of the graphs represents the path traced by x(t) = cos(t), y(t) = sin(t), t > 0? OA. Graph 1 OB. Graph 2 O C. Graph 3 OD. Graph 4 b) Which of the graphs represents the path traced by (t) = cos(t? ), y(t) = sin(t?), t > 0? OA. Graph 1 O B. Graph 2 O C. Graph 3 O D. Graph 4 c) Which of the graphs represents the path traced by x(t) = cos(In(t)), y(t) = sin(In(t)), t > 1? OA. Graph 1 OB. Graph 2 O C. Graph 3 OD. Graph 4 1) How do the shapes of the three paths compare? Select all statements that apply. A. There is no relationship between the three curves traced out by the paths. B. All three paths trace out the same curve. c. The shape of the curve is dependent on whether the input for sine and cosine is t, t?, or In(t). D. None of the above statements are true. e) How can you distinguish between the paths traced out by the three sets of parametric equations? Select all statements that apply. A. All three paths are traced out at different velocities. B. The path defined by the equations in part c) moves the slowest. [C. The path defined by the equations in part b) moves the slowest. [D. The path defined by the equations in part a) moves the fastest. QE. The path defined by the equations in part b) moves the fastest. OF. There is no way to distinguish between the paths traced out by these curves. G. None of the above statements are true.(1 point) Give a parametric equation representation for each curve. a)y=x' - r x(t) = y(t) = b) 9x' ty- = 1 I(t) = y( t) =(1 point) Give a parameterization for the semicircle of radius 1 shown in the figure below. -2 2 -2 I(t) = y ( t )