Use the Definition of Area as a Limit to Find $f ( x ) = 9 - x ^ { 2 }$

question 22

Essay

Use the definition of area as a limit to find the area of the region that lies under the graph of $f ( x ) = 9 - x ^ { 2 }$ over the interval $- 3 \leq x \leq 3$ .

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Definitions:

Opportunity-driven

A mindset or approach that focuses on identifying and exploiting new business or growth opportunities.

Psychological Motivation

The internal processes that stimulate and direct human behavior toward achieving personal or professional goals.

Power

The ability or capacity to influence or control the behavior of others or the course of events.

Need for Affiliation

A psychological term denoting an individual's desire to build relationships and feel connected to others.