Evaluate the Line Integral $\int _ { c } x d x$

question 148

Multiple Choice

Evaluate the line integral $\int _ { c } x d x$ , where $C$ is the curve $x = t , \quad y = t , \quad 0 \leq t \leq 1$ .

• A) \(\frac { 1 } { 3 }\)
• B) \(\frac { 1 } { 2 }\)
• C)\(\frac { 1 } { \sqrt { 3 } }\)
• D) \(\frac { 1 } { \sqrt { 2 } }\)
• E)\(1\)
• F) \(\sqrt { 2 }\)
• G) \(\sqrt { 3 }\)
• H) \(2\)

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Definitions:

Manufacturing Overhead

All manufacturing costs that are not directly related to individual products, including costs related to indirect labor, materials, and factory operations.

Machining

The process of cutting, shaping, or removing material from a workpiece using machines.

Equipment Depreciation

Equipment depreciation refers to the allocation of the cost of tangible assets over their useful lives, representing the wear and tear, deterioration, or obsolescence of physical assets.

Supervisory Expense

Costs related to the management and oversight of operations within an organization.