Evaluate the Double Integral $\iint _ { R } \frac { y } { ( x + 1 ) ^ { 2 } } d A$

question 141

Multiple Choice

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

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

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Definitions:

Independent Variable

In an experiment or study, the variable that is manipulated to observe its effect on the dependent variable.

Dependent Variable

A variable in an experiment or model that is expected to change in response to changes in another variable, known as the independent variable.

Price

The cost needed to acquire a product or service.

Hart-Celler Act

1965 law that eliminated the national origins quota system for immigration established by laws in 1921 and 1924; led to radical change in the origins of immigrants to the United States, with Asians and Latin Americans outnumbering Europeans.