Evaluate the Integral $$\int _ { 0 } ^ { 1 / 2 } \frac { 4 d r } { \sqrt { 1 - r ^ { 2 } } }$$

question 109

Multiple Choice

Evaluate the integral.
$$\int _ { 0 } ^ { 1 / 2 } \frac { 4 d r } { \sqrt { 1 - r ^ { 2 } } }$$

• A) \(\frac { \pi } { 4 }\)
• B) \(\frac { 1 } { 5 }\)
• C) \(\frac { \pi } { 5 }\)
• D) \(\frac { 1 } { 4 }\)
• E) \(\frac { 2 \pi } { 3 }\)

Understand the differences between monopolistic competition and perfect competition in terms of economic profits and points of production on the ATC curve.

Identify the reasons why monopolistic competitors and monopolists charge a price greater than the marginal cost of production.

Recognize the role of advertising in monopolistic competition to influence demand and address excess capacity.

Analyze the long-term economic profit outcomes for monopolistic competitors versus perfect competitors.

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