Approximate the Area Under the Curve $y = \sin x$ From 0 To

question 147

Multiple Choice

Approximate the area under the curve $y = \sin x$ from 0 to $\frac { \pi } { 2 }$ using 8 approximating rectangles of equal widths and right endpoints. The choices are rounded to the nearest hundredth.

• A) \(3.09\)
• B) \(1.09\)
• C) \(4.09\)
• D) \(0.09\)
• E) \(2.09\)

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Definitions:

Jurgen Habermas

A German sociologist and philosopher known for his work on the theory of communicative action and the concept of the public sphere.

Life World

Life world references the everyday, lived experiences, social backgrounds, and personal perceptions from which individuals interpret and interact with the world.

Bureaucratic

Characterized by fixed official rules, a hierarchy of authority, and a clear division of labor, typical of large organizations.

Jurgen Habermas

A German sociologist and philosopher known for his theories on communicative action, the public sphere, and the theory of modernity.