Set Up and Evaluate the Definite Integral for the Area $y = 9 - x ^ { 2 }$

question 40

Multiple Choice

Set up and evaluate the definite integral for the area of the surface formed by revolving the graph of $y = 9 - x ^ { 2 }$ about the $y$ -axis. Round your answer to three decimal places.

• A) \(58.659\)
• B) \(117.319\)
• C) \(235.685\)
• D) \(5.323\)
• E) \(2.661\)

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Functionalism

A theoretical framework in sociology and anthropology that interprets society as a structure with interrelated parts designed to meet the biological and social needs of the individuals in that society.

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A theoretical approach that examines and advocates for change in the social, political, and economic inequalities between genders.

Social Darwinism

A theory that applies the concept of survival of the fittest to societies, justifying inequalities and competition.

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A complex set of ideas that emerged as a critique of modernism, emphasizing skepticism towards grand narratives, ideologies, and embracing plurality, difference, and the fragmentation of cultural norms.