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Home » Solving for \( b \), \( b = 4 \). - Aurero

Solving for \( b \), \( b = 4 \). - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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ho^2 = x^2 + y^2 + z^2, \quad
ho\sin\phi = \sqrt{x^2 + y^2}
x^2 + y^2 + z^2 = 4\sqrt{x^2 + y^2}
Let $r = \sqrt{x^2 + y^2}$. Then:
r^2 + z^2 = 4r \Rightarrow r^2 - 4r + z^2 = 0 \Rightarrow (r - 2)^2 +...
This is a sphere of radius 2 centered at $(2, 0, 0)$ in cylindrical co...
oxed{(x - 2)^2 + y^2 + z^2 = 4}
Question: A regular tetrahedron has three of its vertices at $A = (1,...
Solution: In a regular tetrahedron, all edges are equal. Compute dista...
AB = \sqrt{(1 - 1)^2 + (1 + 1)^2 + (1 + 1)^2} = \sqrt{0 + 4 + 4} = \sq...

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