Question 1. Quadric surfaces: (a) Sketch the cross-sections of the surface x² + 3y² = 1 + z² parallel to the xy-plane, t

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Question 1 Quadric Surfaces A Sketch The Cross Sections Of The Surface X 3y 1 Z Parallel To The Xy Plane T 1 (33.81 KiB) Viewed 46 times

Question 1. Quadric surfaces: (a) Sketch the cross-sections of the surface x² + 3y² = 1 + z² parallel to the xy-plane, the xz-plane, and the yz-plane. Identify the shapes of these cross-sections. (b) The parametric curve r(t) = (1 + cos(t), sin(t), 2 sin(t)) parametrizes the intersection of two quadric surfaces. Identify the two quadric surfaces by equation (and by name) and explain how you know that your answer is correct.