Evaluate the Integral $\iint _ { R } \sqrt { x ^ { 2 } + y ^ { 2 } } d A$

question 27

Multiple Choice

Evaluate the integral $\iint _ { R } \sqrt { x ^ { 2 } + y ^ { 2 } } d A$ , where R is the disk with center the origin and radius 2.

• A) \(\frac { \pi } { 3 }\)
• B) \(\frac { 2 \pi } { 3 }\)
• C) \(\frac { 4 \pi } { 3 }\)
• D) \(\frac { 8 \pi } { 3 }\)
• E) \(\frac { 16 \pi } { 3 }\)
• F) \(\frac { 32 \pi } { 3 }\)
• G) \(\frac { 64 \pi } { 3 }\)
• H) \(\frac { 128 \pi } { 3 }\)

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Definitions:

Inputs

Inputs refer to signals or data received by a system, which are then processed or used to influence operations within that system.

Outputs

Outputs refer to the data or signals sent out by a system or process, which can be in the form of information, actions, or physical quantities, as a result of its operation or processing.

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A major basilica in Vatican City, an iconic example of Renaissance architecture, known for its significant artworks and as a pilgrimage site.

Speyer Cathedral

A Romanesque cathedral located in Speyer, Germany, known for its historical significance and architecture, it is a UNESCO World Heritage Site.