Determine How Many Critical Points the Function $f ( x , y ) = x ^ { 2 } + y ^ { 2 } + x ^ { 2 } y + 10$

question 83

Multiple Choice

Determine how many critical points the function $f ( x , y ) = x ^ { 2 } + y ^ { 2 } + x ^ { 2 } y + 10$ has.

• A)0
• B)1
• C)2
• D)3
• E)4
• F)5
• G)6
• H)7

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Definitions:

Hydrophilic Functional Groups

Chemical groups attached to molecules that are attracted to water, making the molecule soluble in water.

Soluble

Capable of being dissolved in a solvent, typically referring to substances that can dissolve in water.

Oxygen Atoms

Fundamental particles that make up oxygen gas (O2), essential for cellular respiration and critical to life's biochemical processes.

Saturated Triacylglycerol

A type of fat molecule known as a triglyceride, where all carbon atoms in the fatty acid chains are saturated with hydrogen atoms, resulting in no double bonds.