Solids of revolution Which of the quadric surfaces in

Chapter 12, Problem 81E

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QUESTION:

Solids of revolution  Which of the quadric surfaces in Table 12. can be generated by revolving a curve in one of the coordinate planes about a coordinate axis?

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QUESTION:

Solids of revolution  Which of the quadric surfaces in Table 12. can be generated by revolving a curve in one of the coordinate planes about a coordinate axis?

ANSWER:

Solution  81E

Consider ellipsoid is ++= 1 all traces are ellipses

Consider elliptic paraboloid z = + traces with z =z0 are ellipses traces with x =x0 or y = y

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