Evaluate the Double Integral by First Identifying It as the Volume

question 30

Multiple Choice

Evaluate the double integral by first identifying it as the volume of a solid. $$\iint _ { R } ( 15 - 2 x ) d A , R = \{ ( x , y ) \mid 3 \leq x \leq 7,3 \leq y \leq 5 \}$$

• A) 40
• B) \(- 160\)
• C) \(- 60\)
• D) 140
• E) 240

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Definitions:

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An economic evaluation method that compares the costs and benefits of a project or decision to determine its feasibility or compare alternatives.

Free-Rider Problem

A situation in economics where individuals consume more than their fair share of a public resource, or shoulder less of the cost of its provision, leading to underproduction or depletion of the resource.

Aristotle

An ancient Greek philosopher and scientist, one of the greatest intellectual figures of Western history.

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