Evaluate the Double Integral $\iint _ { R } x d A$

question 223

Multiple Choice

Evaluate the double integral $\iint _ { R } x d A$ , where $R = \left\{ ( x , y ) \mid y - 1 \leq x \leq \sqrt { 1 - y ^ { 2 } } , 0 \leq y \leq 1 \right\}$ .

• A) \(\frac { 1 } { 6 }\)
• B) \(\frac { 1 } { 4 }\)
• C) \(\frac { 1 } { 3 }\)
• D) \(\frac { 1 } { 2 }\)
• E) \(\frac { 2 } { 3 }\)
• F) \(\frac { 3 } { 4 }\)
• G) \(\frac { 5 } { 6 }\)
• H)1

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The phenomenon where a person or animal in a study can pick up on subtle, unintentional cues from their interactants, leading to seemingly intelligent responses.

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Describing something so delicate or precise as to be difficult to analyze or describe; often implies complexity.

Spatial Reasoning

The ability to understand, reason, and remember the spatial relations among objects or space.