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2. Find a vector function r(t) = with appropriate component functions x(t), y(t) and z(t)for each of the following {3 points each): a. An ellipse

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2. Find a vector function r(t) = with appropriate component functions x(t), y(t) and z(t)for each of the following {3 points each): a. An ellipse in the plane 2 = -5 centered at (-4,6) with a horizontal axis (ie width} of 2, a vertical axis (ie height) of 10, and a period of 6. b. The intersection of paraboloid z = 33in (x) + y2 and the parabolic cylinder y = x2. (Hint: letx = t]

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