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Mathematics, 13.02.2020 18:43 tia3963

Show that the projection into the xy-plane of the curve of intersection of the parabolic cylinder z=1−5y2 and the paraboloid z=x2+y2 is an ellipse. (a) Find a vector-parametric equation r⃗ 1(t)=⟨x(t),y(t),z(t)⟩ for the ellipse in the xy-plane.

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