Evaluate the Following Iterated Integral $\int _ { 0 } ^ { \frac { \pi } { 9 } }$

question 3

Multiple Choice

Evaluate the following iterated integral. $\int _ { 0 } ^ { \frac { \pi } { 9 } }$$\int_{0} ^ {11 cos\theta}$ r dr d $\theta$

• A) \(\frac { 121 } { 72 } \left( 2 \pi + 9 \sin \left( \frac { 2 \pi } { 9 } \right) \right)\)
• B) \(\frac { 121 } { 9 } \left( 2 \pi + 9 \sin \left( \frac { 2 \pi } { 9 } \right) \right)\)
• C) \(\frac { 11 } { 72 } \left( 2 \pi + 9 \sin \left( \frac { 2 \pi } { 9 } \right) \right)\)
• D) \(\frac { 121 } { 72 } \left( \pi + 9 \sin \left( \frac { 2 \pi } { 9 } \right) \right)\)
• E) \(\frac { 121 } { 72 } \left( 2 \pi + 9 \sin \left( \frac { \pi } { 9 } \right) \right)\)

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Perfectly Competitive Market

A market structure characterized by a large number of small firms, homogeneity of products, free entry and exit, and perfect information, leading to firms being price takers.

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