Evaluate the Double Integral $\iint _ { R } ( x + 2 y ) d A$

question 78

Multiple Choice

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

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

---

Definitions:

Ego Development

The process through which a person's self-identity and personality mature over time, influenced by various experiences and stages of psychosocial development.

Infant Attachment Styles

Describes patterns of attachment behavior exhibited by children towards their caregivers, which can significantly impact their emotional and social development.

Self-Fulfilling

A belief or expectation that influences behavior in a way that causes the belief to become true.