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What do the level curves look like prove that the rule for

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If we take take a curve z = f(y) in the yz-plane and revolve it about the z-axis, we obtain a surface of revolution in space. What do the level curves look like? Prove that the rule for the surface of revolution thus obtained is z= f(√(x2 + y2)). Use this result to deduce that the equation x2+ y2+ 2x + 2y - z2+ 2 = 0 defines a cone in space.

Reference no: EM13591243

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