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

question 44

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) \(- 40 \pi\)

Understand the concept of a risk society and its implications.

Recognize the historical impact of technological advancements on society.

Identify the social and political consequences of technological dependencies.

Comprehend the concept of technological determinism and its critiques.

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