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Suppose S is the surface generated by revolving the curve y = 4(x - 1) about the y-axis a. Determine an equation of S. What

Suppose S is the surface generated by revolving the curve y = 4(x - 1) about the y-axis a. Determine an equation of S. What kind of quadratic surface is S? b. Write an equation of the trace S on each coordinate plane and identify the type of conic each equation represents. c. Provide a hand-drawn sketch of S using the traces obtained above. Label all important parts

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