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doubletree by hilton hotel austin university area - Professionaloutdoormedia

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 Now substitute using the Cartesian identities:

📌 Thus, the shape described by the given equation is a sphere of radius 1 centered at $(1, 0, 0)$.

📌 Question: Find the value of $x$ so that the vectors

📌 So the minimum value of the expression is:

📌 Recall that in Cartesian coordinates:

📌 $r = 0$ corresponds to the origin, and $r = c$ defines a circle of radius $c$ in the $xy$-plane.

📌 Therefore, the expression is constant and equal to 4.

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