Find the Average Value of the Function F Over the Given

question 87

Multiple Choice

Find the average value of the function f over the given region.
- $f ( x , y ) = e ^ { x ^ { 2 } }$ over the region bounded by $y = 6 x , y = 8 x , x = 0$ , and $x = 1$ .

• A) \(\frac { e - 1 } { 6 }\)
• B) \(\mathrm { e } - 1\)
• C) \(2 \mathrm { e } - 1\)
• D) \(\frac { 2 \mathrm { e } - 1 } { 36 }\)

---

Definitions:

Battery

An intentional unconsented physical act that results in harmful or offensive contact with another person's body.

Civil Tort Action

A lawsuit brought by one individual against another or a corporation for compensation due to harm caused by negligence or intentional acts.

Double Jeopardy

A constitutional protection against being tried for the same crime twice.

Defamation

The act of damaging someone's reputation through false or malicious statements, either spoken (slander) or written (libel).