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Please help A motion is defined by the foilowing parametric equations. x = sln(t), y = 2cosl't), i|TS t 5 TI 1 (a) Show that

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A motion is defined by the foilowing parametric equations. x = sln(t), y = 2cosl't), i|TS t 5 TI 1 (a) Show that the particle passes through the point (f3 V3) . Find the timet at which the particle passes through this point. \. (b) Find the slope of the tangent line to the curve (the orbit) at this point. 2 (c) By using dZ determine whether the orbit is concave up or concave down near this point. dX (d) At what speed does the particle go through this point? {e} Sketch the orbit and indicate the direction of the motion

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