Evaluate the Integral $$\int _ { 0 } ^ { 1 } \int _ { 0 } ^ { y } e ^ { x + y } d x d y$$

question 112

Multiple Choice

Evaluate the integral.
- $$\int _ { 0 } ^ { 1 } \int _ { 0 } ^ { y } e ^ { x + y } d x d y$$

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

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Definitions:

Labor Productivity

A measure of economic performance that calculates the amount of goods and services produced per hour of labor.

Per-Worker Production Function

The relationship between the amount of capital per worker in the economy and average output per worker.

Per-Worker Production Functions

A model depicting how the output produced by an average worker changes in response to varying levels of capital or technology per worker.

Tractors Per Worker

A measure of capital intensity, representing the number of tractors available to each worker in the agricultural sector to enhance productivity.