Convert the Polar Equation to Rectangular Form $r ^ { 2 } = 2 \sin \theta$

question 28

Multiple Choice

Convert the polar equation to rectangular form. $r ^ { 2 } = 2 \sin \theta$

• A) \(x ^ { 2 } + y ^ { 2 } + \sqrt [ 3 ] { 2 } y ^ { 2 / 3 } = 0\)
• B) \(x ^ { 2 } + y ^ { 2 } - \sqrt [ 3 ] { 4 } y ^ { 2 / 3 } = 0\)
• C) \(x ^ { 2 } + y ^ { 2 } - \sqrt [ 3 ] { 2 } y ^ { 2 / 3 } = 0\)
• D) \(x ^ { 2 } + y ^ { 2 } + \sqrt [ 3 ] { 4 } y ^ { 2 / 3 } = 0\)
• E) \(x ^ { 2 } - y ^ { 2 } - \sqrt [ 3 ] { 4 } y ^ { 2 / 3 } = 0\)

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Definitions:

HOMO

The Highest Occupied Molecular Orbital, which is the topmost electron-filled energy level in a molecule, playing a crucial role in chemical reactions and molecular bonding.

Nodes

Points in a standing or traveling wave at which the amplitude of the wave is zero.

1,3,5-hexatriene

An unsaturated hydrocarbon with the formula C6H8, containing three double bonds at positions 1, 3, and 5.

Probability Distribution

It's a mathematical formula that estimates the probabilities of various possible results in an experiment.