- #1
jwxie
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Homework Statement
The part of the hyperboloid x^2 + y^2 - z^2 = 1 that lies to the right of the xz-plane
The Attempt at a Solution
Clearly, since it's demanded in turns of xz-plane, we have
y = sqrt( z^2 - x^2 - 1)
To parametrize it, we can simply use x = x, z = z, and y = sqrt( z^2 - x^2 - 1)
I was wondering what if I want the parametrization in polar forms?
x = r*cos(deta) z = r*sin(deta), and y = sqrt((-1)*r^2 -1)
and r(u,v) = <r*cos(deta), sqrt((-1)*r^2 -1), r*sin(deta)>
Is it still a valid parametrization?
Thanks.