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))
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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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