Evaluate the Double Integral Over the Given Region $$\iint _ { R } \frac { 1 } { x y } d A , R : 3 \leq x \leq 9,3 \leq y \leq 9$$

question 136

Multiple Choice

Evaluate the double integral over the given region.
- $$\iint _ { R } \frac { 1 } { x y } d A , R : 3 \leq x \leq 9,3 \leq y \leq 9$$

• A) \(\left( \frac { \ln 3 } { \ln 9 } \right) ^ { 2 }\)
• B) \(\ln \frac { 1 } { 3 }\)
• C) \(\left( \ln \frac { 1 } { 3 } \right) ^ { 2 }\)
• D) \(\frac { \ln 3 } { \ln 9 }\)

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Definitions:

Manufacturing Overhead

All indirect costs associated with the production process, such as utilities, maintenance, and salaried labor, that are not directly tied to individual products.

Manufacturing Costs

Costs that are directly associated with the manufacturing of products, such as the cost of raw materials, workforce, and overhead expenses.

Cost of Goods Manufactured

The total cost incurred by a company to produce goods in a specific period, including materials, labor, and overhead.

Direct Materials Costs

The cost of raw materials that can be directly traced to the production of a specific product.