Use Green's Theorem to Evaluate the Line Integral $\int _ { C } e ^ { x } \cos ( 13 y ) d x - 13 e ^ { x } \sin ( 13 y ) d y$

question 27

Multiple Choice

Use Green's Theorem to evaluate the line integral $\int _ { C } e ^ { x } \cos ( 13 y ) d x - 13 e ^ { x } \sin ( 13 y ) d y$ where $C$ is $x ^ { 2 } + y ^ { 2 } = a ^ { 2 }$

• A) 13
• B) 14
• C) 170
• D) 26
• E) 0

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Definitions:

Aligning Punch

A tool used to align holes before inserting fasteners, ensuring proper alignment of components.

Huck Fastener

A commonly used production line fastener used in place of a nut and bolt that ensures more accurate clamping pressure. Uses air-over-hydraulic pressure to establish stud clamping force before locking with a crimp-type fastener. Often robotically installed on an assembly line. Less commonly used in service shops because of the bulk and awkwardness of the installation tooling, so Huck fasteners are often replaced with nuts and bolts.

Suspension Repairs

The process of fixing or replacing components of a vehicle's suspension system to ensure proper handling and comfort.

Grade 8

A classification indicating high-strength fasteners, typically made from alloy steel and used in demanding applications.