Answer to Question #15782 in Differential Geometry for Aly Nurmohamed

Question #15782
1.(a) Build an equation for a hyperboloid of two sheets with the following properties: • The central axis of the hyperboloid is the y-axis • The two sheets are 4 units apart, and are mirror images of each other across the xz-plane. • The hyperboloid intersects the plane y = 3 in a circle of radius 5. (b) Find an equation for a single curve in the xy-plane which, when rotated around the y-axis, would produce the hyperboloid built in (a). (Hint, set z = 0 in the equation from (a).)
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