Determine the Continuity of the Function $$f ( x , y , z ) = \frac { 5 z } { x ^ { 2 } + y ^ { 2 } - 3 }$$

question 22

Multiple Choice

Determine the continuity of the function $$f ( x , y , z ) = \frac { 5 z } { x ^ { 2 } + y ^ { 2 } - 3 }$$

• A) continuous except at \(( 0,0 )\)
• B) continuous for \(x ^ { 2 } + y ^ { 2 } = 3\)
• C) continuous except at \(( 5,0 )\)
• D) continuous except at \(( 0,3 )\)
• E) continuous for \(x ^ { 2 } + y ^ { 2 } \neq 3\)

---

Definitions:

Cyberbullying

The use of digital technology, such as social media, to harass, threaten, embarrass, or target another person, often anonymously.

Traditional Bullying

Forms of bullying that occur in physical spaces, such as schools or neighborhoods, involving direct interactions like physical or verbal abuse.

Crime Statistics

Data and numerical information related to the incidence and types of crimes within a specific area or jurisdiction.

Criminal Behavior

Actions that violate laws and are subject to punishment, analyzed by criminologists to understand their origins and prevent their occurrence.