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math z
2. Relevant equationsPardon me, but I was clumsy to aggregate "relevant equations" in this section.
3. The attack at a solution##x^2 y^2 z^2 =1 ## represents a apple with ambit 1, while ## y = x ## represents a band alongside to x-axis. If I agree both abandon and accurate for ##z## I access $$ z=-sqrt{x^2-x y^2 y-1} $$I've advised this action application Mathematica and it shows a plane. From this, I assured that the circle isn't a ambit but a even and cannot be parametrized.
I would like to ask for admonition and maybe point me appear a solution. It seems a bit too atomic to hold.
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I additionally approved active ##x = y## into apple blueprint and simplifying for ##y##. This alternate a curve, "upside-down" ambit with the blueprint $$ y = sqrt{frac{1-x^2}{2}}$$Could it be that parametrization follows from this action instead of the high one?
I would like to acknowledge in beforehand for your time and effort. Hope you're accepting a absurd Saturday ;)
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