Find an Equation in Rectangular Coordinates for the Equation Given $$r = 6 \sin \theta$$

question 59

Multiple Choice

Find an equation in rectangular coordinates for the equation given in cylindrical coordinates. $$r = 6 \sin \theta$$

• A) \(x ^ { 2 } + y ^ { 2 } = 6 y\)
• B) \(x ^ { 2 } + y ^ { 2 } = 6 x\)
• C) \(x ^ { 2 } + y ^ { 2 } = \frac { x } { 6 }\)
• D) \(x ^ { 2 } + y ^ { 2 } = \frac { y } { 6 }\)
• E) \(x ^ { 2 } + z ^ { 2 } = 6 x\)

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Definitions:

Stearic Acid

A saturated fatty acid found in various animal and vegetable fats, widely used in the manufacture of soaps and cosmetics.

Carbon Atoms

The fundamental building blocks of organic molecules, characterized by their ability to form four covalent bonds.

Arachidic Acid

A saturated fatty acid with a 20-carbon chain, found in certain plant oils and the fat components of some animals.

Carbon Atoms

The fundamental building blocks of all organic molecules, characterized by having six protons in their nucleus.