My Math Forum Parameterization curves

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 January 15th, 2015, 01:59 PM #1 Newbie   Joined: Jan 2015 From: Queens Posts: 8 Thanks: 0 Parameterization curves Sketch and parameterize curves for each of the following: 1. From the point (-2,5) to (3,10) along a parabola passing through (0,1). 2. From the point (3,4) to (-4,3) along a circular path 3. From the north pole of the sphere centered at (7,-2,3) of radius 5 to the south pole of that sphere, with your curve lying on that sphere. 4. From the point (0,2,5) to the point (2,0,-3) lying on a vertical cylinder of radius 2. 5. The intersection of the plane 2x+4y=8 and the cylinder x^2 + z^2 = 4 Parameterize the tangent line to your answer to part 5 of the second question above at the point (-2,3,0).
 January 15th, 2015, 03:42 PM #3 Global Moderator   Joined: Dec 2006 Posts: 18,235 Thanks: 1437 1. It helps to notice that the parabola has equation y = x² + 1. 2. Which circular path would you choose? Can you post your attempt for each question?

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