Use Stokes' Theorem to Evaluate $\int _ { C } ( 3 z - 2 y ) d x + ( 4 x - 2 y ) d y + ( z + 2 y ) d z$

question 35

Multiple Choice

Use Stokes' Theorem to evaluate $\int _ { C } ( 3 z - 2 y ) d x + ( 4 x - 2 y ) d y + ( z + 2 y ) d z$ where C is the triangle with vertices $( 1,0,0 ) , ( 0.1 .0 )$ , and $( 0.0 .1 )$ , oriented counter clockwise as viewed from above.

• A) \(- 11\)
• B)\(- \frac { 11 } { 2 }\)
• C)\(- \frac { 7 } { 2 }\)
• D) \(7\)
• E)\(11\)
• F)\(\frac { 11 } { 2 }\)
• G) \(\frac { 7 } { 2 }\)
• H)\(- 7\)

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Definitions:

Somatic Nervous System

A section of the peripheral nervous system responsible for managing the intentional movement of the body by regulating skeletal muscles.

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The rear part of the brain that includes the cerebellum and brainstem, involved in regulating basic life functions like heartbeat and breathing.