Solve the Problem $\mathrm { P } ( \mathrm { r } , \theta )$

question 291

Multiple Choice

Solve the problem.
-Find the average distance from a point $\mathrm { P } ( \mathrm { r } , \theta )$ in the region bounded by $r = 6 + 8 \sin \theta$ to the origin.

• A) \(\frac { 66 } { 17 }\)
• B) \(\frac { 297 } { 34 }\)
• C) \(\frac { 132 } { 17 }\)
• D) \(\frac { 99 } { 17 }\)

---

Definitions:

Human Exemptionalism

The belief that humans are exempt from the laws of nature and ecological principles, often resulting in justification for environmental exploitation.

Forces of Nature

Natural phenomena or elements that have powerful and often destructive impacts on the natural environment and human societies, such as hurricanes, earthquakes, and tsunamis.

Ecosystem Diversity

The number and variety of habitats for organisms within a geographic area.

Human Activities

Actions or tasks performed by humans, which can range from basic survival efforts to complex professional and recreational endeavors.