Find the Average Value of the Function F Over the Given

question 257

Multiple Choice

Find the average value of the function f over the given region.
- $\mathrm { f } ( \mathrm { x } , \mathrm { y } ) = \mathrm { e } ^ { 10 \mathrm { x } }$ over the square $0 \leq \mathrm { x } \leq \frac { 1 } { 10 } , 0 \leq \mathrm { y } \leq \frac { 1 } { 10 }$ .

• A) \(2 \mathrm { e } - 1\)
• B) e - 1
• C) \(\frac { 2 \mathrm { e } - 1 } { 100 }\)
• D) \(\frac { \mathrm { e } - 1 } { 10 }\)

---

Definitions:

Competitive Games

Games or activities designed with rules where individuals or teams compete against each other to achieve a certain goal.

Sociodramatic Play

A type of play where children enact scenes from real life or imaginary scenarios, often involving role-playing and interaction with peers.

Authoritarian

A leadership or governmental structure characterized by absolute or near-absolute control without much personal freedom.

Authoritative Parenting

A parenting style characterized by high responsiveness and high demands, focusing on setting clear standards and being assertive without being intrusive.