#1, Given the plane curve ŕ (t) = (x(t), y(t))=(-sint, 2 cos²+) = ㅠ (a) Find the exact coordinates of the point Po on the curve when 5π and sketch it. (Note. t= 6 The approximate x-coordinate is 3.86). y 4 5 x 5 6 7 8 × Find the velocity vector √(t)= =(t) (for any moment of time t), (c) Find the exact components of the velocity vector v(t) when t=5π. Sketch it, on the graph, applied 6 at the point Po. (Note (2) (4.2,1.73) (d) Find the equation of the tangent line to the curve at Po. Use exact values.

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