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anonymous
 5 years ago
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)
anonymous
 5 years ago
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)

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Are 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
 5 years ago
Best ResponseYou've already chosen the best response.0For 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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