3. In the plane R², consider the parametric curve given by the equations Jx(t) = cos(t) +2 y(t) = sin(t) + 2 • Construct its cartesian equation and show that this curve represents a circumference, specifying which are the center and the radius • Find the maximum and the minimum distance of the curve from the origin and the points where these extreme distances occur • Consider now the square with his inside, formed by the x and y cartesian axis and by the lines x = 2 and y= 2. Let's call this set A. Part of the curve is inside A. Find the maximum and the minimum distance of the curve from the origin in the set A, and the points where these extreme distances occur

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