Find all possible equations for a cylindric surface (extending infinitely) with radius 1 using rectangular coordinates in 3-space, such that the surface is tangent to the Z-axis.

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TopNewestHm, you might have to clarify what "tangent to the z-axis" means, esp at the "corners" of the cylinder. – Calvin Lin Staff · 1 year ago

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surfacethat extends infinitely? For example, if I have an equation \(x^{2} + y^{2} = 1\) in 3-space, that's a cylinder that extends infinitely in both directions concerning the z-axis. – Hobart Pao · 1 year agoLog in to reply

It's an interesting question. Somewhat easy to visualize, but hard to describe completely. – Calvin Lin Staff · 1 year ago

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