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Question 6. Recall that the distance between a point P and an object A is the minimum possible distance between P and a random point

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Question 6. Recall that the distance between a point P and an object A is the minimum possible distance between P and a random point on A. Using this definition, find the distance between the point (0, 0) and the ellipse given by the parametric equation x(t) = 3 cost + 2sint, y(t) = -3 cost + 2 sint by going through the steps as follows. (1) The distance by definition is the global minimum of f(x(t), y(t)), where f(x, y) is the distance between (0, 0) and (x, y), namely f (x, y) = Vx2+2 First, find the critical points of f(x(t), y(t)). (2) Then, find the global minimum of f(x(t), y(t) ) by finding the minimum possible value attained by f(x(t), y(t) ) at the critical points

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