determine the domains of the space curves created when the plane 2x-y+z=k intersects the elliptic hyperboloid of 2 sheets given by 4x^2-y^2-z^2=1 the parametrisation used to plot the space curves is x(t) = (2t^2-4t+5)/(4(t-2)) y(t) = t  z(t) = (3-4t)/(2(t-2))

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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determine the domains of the space curves created when the plane 2x-y+z=k intersects the elliptic hyperboloid of 2 sheets given by 4x^2-y^2-z^2=1

the parametrisation used to plot the space curves is

x(t) = (2t^2-4t+5)/(4(t-2))

y(t) = t 

z(t) = (3-4t)/(2(t-2))

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