Find equations r = g(, z) (cylindrical) and = (, ) (spherical) for the hyperboloid x 2 + y 2 = z 2 +

Find equations r = g(θ, z) (cylindrical) and ρ = ƒ(θ, ф) (spherical) for the hyperboloid x² + y² = z² + 1 (Figure 18). Do there exist points on the hyperboloid with ф = 0 or π? Which values of ф occur for points on the hyperboloid?

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