Find the Area of the Region Specified by the Integral(s) $$\int _ { 0 } ^ { 9 } \int _ { 0 } ^ { 9 - x } d y d x$$

question 237

Multiple Choice

Find the area of the region specified by the integral(s) .
- $$\int _ { 0 } ^ { 9 } \int _ { 0 } ^ { 9 - x } d y d x$$

• A) \(\frac { 81 } { 4 }\)
• B) 27
• C) \(\frac { 81 } { 2 }\)
• D) \(\frac { 27 } { 2 }\)

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Definitions:

Deductive Reasoning

A logical process where conclusion is based on the concordance of multiple premises that are generally assumed to be true.

Abductive Reasoning

A form of logical inference that begins with an observation or set of observations then seeks to find the simplest and most likely explanation.

Analogies

Analogies are comparisons made between two things that are otherwise unlike, but have some similarities, often used to explain or clarify complex concepts by relating them to more familiar ones.

Induction

A process or method of learning or reasoning by which general principles are derived from specific instances or observations.