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Approximate the Area Under the Curve y=5x2y = \frac { 5 } { x ^ { 2 } }

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Short Answer

Approximate the area under the curve y=5x2y = \frac { 5 } { x ^ { 2 } } from 1 to 2 using ten approximating rectangles of equal widths and right endpoints. Round the answer to the nearest hundredth.


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Classical Theorist

refers to scholars from earlier periods whose works form the foundations of a discipline, such as Socrates in philosophy or Adam Smith in economics.

Hobbes

Refers to Thomas Hobbes, a 17th-century philosopher known for his social contract theory, which posits that people agree to surrender some freedoms to a ruler or government in exchange for security and social order.

Enlightenment Thinking

A philosophical movement of the 17th and 18th centuries emphasizing reason, individualism, and skepticism of traditional doctrines, leading to advances in science, politics, and human rights.

Conservative Reaction

A response, typically by right-leaning groups, towards preserving traditional values and resisting changes to social or political structures.

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