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:

Societal Expectations

The assumed standards or norms within a society that dictate the behavior and actions considered acceptable or desirable.

Socialization

The process through which individuals learn and internalize the values, beliefs, and norms of their society or cultural group, shaping their behavior and perspectives.

Stressful Life

Experiencing a high level of stress or pressure in various aspects of life, such as work, relationships, or financial situations.

Heart Attack

A medical emergency characterized by the sudden blockage of blood flow to the heart, often resulting in chest pain, shortness of breath, and other symptoms.