A particle travels on a curve given parametrically by (cos(2t) , sin(3t)) where t is in seconds. a. Graph the parametric curve using Desmos and electronically cut and paste the graph here. b. Describe the motion of the particle on the interval [0,3] C. When does the particle first cross the y-axis? Set up a trigonometric equation and solve for t exactly.d. When does the particle first change direction? Find the exact value for t. e. Find the speed of the particle at t = 1 second f. Find the slope of the tangent line to the parametric curve at t = 4 seconds. g. Find a parametric representation of the tangent line (ray) at t = 4 seconds and then use Desmos to graph the original parametric curve as well as the tangent ray. Electronically cut and paste the Desmos graph below