$\text { Use Stokes's Theorem to evaluate } \int _ { C } \mathbf { F } \cdot d r \text { where }$

question 16

Multiple Choice

$\text { Use Stokes's Theorem to evaluate } \int _ { C } \mathbf { F } \cdot d r \text { where }$ $\mathbf { F } ( x , y , z ) = - \ln \sqrt { x ^ { 2 } + y ^ { 2 } } \mathbf { i } + \arctan \frac { x } { y } \mathbf { j } + \mathbf { k }$ and $S$ is $z = 25 - 2 x - 3 y$ over $r = 2 \sin 2 \theta$ in the first octant. Use a computer algebra system to verify your result.

• A) 0
• B) \(\frac { 4 } { 3 }\)
• C) \(\frac { 14 } { 3 }\)
• D) 4
• E) \(\frac { 8 } { 3 }\)

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Sequential Processing

The cognitive process of understanding and absorbing information in a step-by-step, linear manner.

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The capability of the brain to process different types of incoming stimuli at the same time.

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The mental process of concentrating on one aspect of the environment while ignoring others, a fundamental aspect of cognitive processing.