anonymous
  • anonymous
a)Sketch the graph of the following parametric equations in xyz space. x=-t, y= 2cost, z= 3sint b)Compute the point intersection of the tangent lines to the graph in (a) at the points A(0,2,0) and B(-pi/2,0,3)
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
Are you having problems with both of them? The first one, if you understand 3D graphing, all you have to do is pick a bunch of points t, perhaps from -3pi to 3pi with 1/4 pi changes, plug them into each part of the parametric. For example, pi would ahve the coordinate (-pi, 0, 3)
anonymous
  • anonymous
t = pi*
anonymous
  • anonymous
For the tangent lines at a point, you just take the derivative of the point one part at a time (meaning the derivative of the x part, then the y part, then the z part). It's been a long time, so there's a chance I'm missing something here, but I don't believe there is.

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