Evaluate the Integral by Changing the Order of Integration in an Appropriate

question 313

Multiple Choice

Evaluate the integral by changing the order of integration in an appropriate way.
- $$\int _ { 0 } ^ { 1 } \int _ { 0 } ^ { 7 } \int _ { y } ^ { 7 } \frac { x \sin z } { z } d z d y d x$$

• A) \(\frac { 1 - \cos 7 } { 2 }\)
• B) \(\frac { 1 + \sin 7 } { 2 }\)
• C) \(1 + \cos 7\)
• D) \(1 - \sin 7\)

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Definitions:

Depreciation

The process of allocating the cost of a tangible or physical asset over its useful life, reflecting the asset's consumption or wear and tear.

Indirect Factory Wages

Wages paid to workers who are not directly involved in production, such as supervisors and maintenance staff, considered part of manufacturing overhead.

Supervisory Salaries

Financial compensation awarded to employees who are in charge of overseeing and managing other workers.

Machine Hours

A measure of the amount of time a machine is operated, used as a basis for allocating factory overhead costs to products.