A Find an Equation of the Sphere That Passes Through $( 6 , - 6,3 )$

question 1

Short Answer

a. Find an equation of the sphere that passes through the point $( 6 , - 6,3 )$ and has center $( - 4,6,4 )$ .
b. Find the curve in which this sphere intersects the $x v$ -plane.

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Definitions:

Splitting Patterns

Describes how the peaks in an NMR spectrum are divided into multiple sub-peaks due to interactions between non-equivalent hydrogen atoms in a molecule, revealing its structure.

NMR Data

Information obtained from Nuclear Magnetic Resonance spectroscopy, useful for determining molecular structure and dynamics.

Quartet

In nuclear magnetic resonance (NMR) spectroscopy, a signal that is split into four separate peaks, indicating the presence of specific atomic environments in a molecule.

Triplet

In quantum mechanics, a term often used to describe a system (such as an atomic or molecular state) that has three closely related energy levels or sub-states.