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

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