Provide an Appropriate Response $x ^ { 3 } + y ^ { 3 } = 9$

question 554

Multiple Choice

Provide an appropriate response.
-If $x ^ { 3 } + y ^ { 3 } = 9$ and $d x / d t = - 3$ , then what is $d y / d t$ when $x = 1$ and $y = 2$ ?

• A) \(- \frac { 4 } { 3 }\)
• B) \(\frac { 3 } { 4 }\)
• C) \(\frac { 4 } { 3 }\)
• D) \(- \frac { 3 } { 4 }\)

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Definitions:

Mitochondrial Donation

A medical technique that involves replacing faulty mitochondria with healthy ones from a donor to prevent mitochondrial diseases.

Mitochondrial Disorders

A group of diseases caused by dysfunction of the mitochondria, the organelles that generate energy for the cell.

Mitochondria

Organelles found in the cytoplasm of eukaryotic cells that generate most of the cell's supply of ATP, used as a source of chemical energy.

Mitochondrial Matrix

The innermost compartment of mitochondria, filled with enzymes that are involved in energy production through the citric acid cycle.