Evaluate the Double Integral Over the Given Region $\iint _ { R } e ^ { 2 x + 3 y } d A , R : 0 \leq x \leq 1,0 \leq y \leq 1$

question 113

Multiple Choice

Evaluate the double integral over the given region.
- $\iint _ { R } e ^ { 2 x + 3 y } d A , R : 0 \leq x \leq 1,0 \leq y \leq 1$

• A) \(\frac { 1 } { 6 } \left( e ^ { 5 } - e ^ { 3 } - e ^ { 2 } + 1 \right)\)
• B) \(\frac { 1 } { 6 } \left( e ^ { 5 } - \mathrm { e } ^ { 3 } - \mathrm { e } ^ { 2 } - 1 \right)\)
• C) \(\frac { 1 } { 4 } \left( e ^ { 5 } - e ^ { 3 } - e ^ { 2 } - 1 \right)\)
• D) \(\frac { 1 } { 4 } \left( e ^ { 5 } - \mathrm { e } ^ { 3 } - \mathrm { e } ^ { 2 } + 1 \right)\)

Identify factors influencing the geographic distribution of species.

Calculate population density.

Comprehend the role and effects of migration in animal populations.

Understand factors contributing to human population growth dynamics.

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