Find the Average Value of the Function $f ( x ) = \frac { x } { \sqrt { x ^ { 2 } + 9 } }$

question 173

Multiple Choice

Find the average value of the function $f ( x ) = \frac { x } { \sqrt { x ^ { 2 } + 9 } }$ $0 \leq x \leq 4$ .

• A)0
• B) \(\frac { 2 } { 5 }\)
• C)10
• D) \(\frac { 1 } { 5 }\)
• E) \(\frac { 1 } { 2 }\)
• F)5
• G)4
• H) \(\frac { 4 } { 5 }\)

---

Definitions:

Valid Contract

A legally binding agreement between parties that is enforceable by law, meeting all essential elements like offer, acceptance, consideration, and mutual intent.

Rejection

In contract law, an express or implied manifestation of an offeree’s unwillingness to contract on the terms of an offer. In sales law, a buyer’s refusal to accept goods because they are defective or nonconforming.

Firm Offer

A legally binding proposal in contract law, ensuring the offer remains open for a specified time without the need for consideration.

Irrevocability

The quality of being irreversible or unchangeable, often used in legal contexts to describe contracts or decisions that cannot be revoked or undone.