Evaluate the Surface Integral $\iint _ { S } 3 z d S$

question 10

Multiple Choice

Evaluate the surface integral.Round your answer to four decimal places. $\iint _ { S } 3 z d S$
$S$ is surface $x = y ^ { 2 } + 2 z ^ { 2 } , 0 \leq y \leq 1,0 \leq z \leq 1$ .

• A) \(10.5963\)
• B) \(13.5963\)
• C) \(4.5963\)
• D) \(23.5963\)
• E) \(8.5963\)

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Definitions:

Output Per Worker

The average amount of goods or services produced by an employee in a given period, indicating labor productivity.

Current Technology

Current technology refers to the latest or most advanced technological innovations, tools, and practices available for use in various industries or activities.

Technological Improvement

The process of innovation where better technologies make production more efficient, leading to higher output with the same input.

Per-Worker Production Function

The per-worker production function depicts the relationship between the average product output per employee and the inputs used per employee, highlighting the efficiency of labor in production.