Use Green's Theorem to Evaluate the Line Integral Along the Positively

question 47

Multiple Choice

Use Green's Theorem to evaluate the line integral along the positively oriented closed curve $C$ .
$\oint _ { C } ( 6 x y + 5 \ln ( 1 + x ) ) d x + 2 x ^ { 2 } d y$ , where $C$ is the cardioid $r = 2 + 2 \cos \theta$ .

• A) \(- 20 \pi\)
• B) \(- 80 \pi\)
• C) \(- 10 \pi\)
• D) \(- 40 \pi\)

Analyze the role of activist investors and hedge funds in shaping corporate strategies.

Examine the effects of mergers on competition and the potential benefits of combining companies with similar operational processes.

Understand the concept and significance of widely held corporations.

Recognize the strategies used by activist investors to influence corporate governance and performance.

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