Suppose that a particle follows the path r(t) = 2 sin(3t) i+4 cos(3t) j. Give an equation (in the form of a formula involving x and y set equal to 0) whose whose solutions consist of the path of the particle. = 0. %3| (Answer in terms of x and y.) Determine the velocity vector of the particle when t = T : v(x) = (Answer in terms of t.) Determine the acceleration vector of the particle whent = t : а(л) - (Answer in terms of t.)

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