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The curve x = 2 cost, y = 3 sin t, 0 S t The curve x = 2 cos t, y = 3 sin

The curve x = 2 cost, y = 3 sin t, 0 S t

The curve x = 2 cos t, y = 3 sin S t 27t is an ellipse. (a) Find an equation of the tangent line to the ellipse at a point where t = IT/3. (b) Find all points on the ellipse at which the tangent line is vertical.

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