Change the Cartesian Integral to an Equivalent Polar Integral, and Then

question 377

Multiple Choice

Change the Cartesian integral to an equivalent polar integral, and then evaluate.
- $\int _ { - 9 } ^ { 9 } \int _ { 0 } ^ { \sqrt { 81 - x ^ { 2 } } } d y d x$

• A) \(\frac { 81 \pi } { 2 }\)
• B) \(\frac { 729 \pi } { 2 }\)
• C) \(\frac { \pi } { 2 }\)
• D) \(\frac { 9 \pi } { 2 }\)

---

Definitions:

Individual Achievement

Success or accomplishment attained through one's own efforts or abilities, often highlighted in contexts emphasizing personal accountability.

Capitalism

An economic system based on private ownership of the means of production and their operation for profit.

Model Minority

A stereotype applied to a particular ethnic, racial, or cultural group that is seen as achieving a higher degree of socioeconomic success than the population average, often masking underlying challenges.

Myth

A traditional story or belief, often involving supernatural beings or phenomena, that represents the values and practices of a culture.