Determine Whether the Statement Is True or False

question 203

Multiple Choice

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​
If and , then f must have a critical point at (a, b) .
​

• A) False. In relative extremum and .
• B) True. It follows from definition.

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Definitions:

Branching

The deviation from a straight chain in a molecule by having side chains or branches in its structure.

Poly(vinyl Chloride)

A synthetic plastic polymer commonly known as PVC, used in a wide range of products due to its durability and flexibility.

Monomer Structure

The basic building block of a polymer, representing the simplest repeat unit that forms a larger chain through polymerization.

Polymer

Large molecules made up of repeating structural units known as monomers, used in a wide range of materials including plastics, textiles, and natural substances.