At What Point Is the Following Function a Local Minimum $$f ( x , y ) = 8 x ^ { 2 } + 5 y ^ { 2 }$$

question 11

Multiple Choice

At what point is the following function a local minimum?
$$f ( x , y ) = 8 x ^ { 2 } + 5 y ^ { 2 }$$
Select the correct answer.

• A) \(( 5,0 )\)
• B) \(( 8 , - 5 )\)
• C) \(( 8,0 )\)
• D) \(( 8,5 )\)
• E) \(( 0,0 )\)

---

Definitions:

Factoring

A financial transaction where a business sells its accounts receivable to a third party at a discount to secure immediate capital.

Assignment

Assignment refers to the transfer of rights or property from one party to another, commonly seen in contracts and legal agreements.

Novation

The act of replacing one obligation with another by mutual agreement, effectively creating a new contract.