Use Stokes' Theorem to Calculate the Circulation of the Field $\mathbf { F } = x ^ { 2 } \mathbf { i } + x y \mathbf { j } + y \mathbf { k } ; \mathrm { C }$

question 70

Multiple Choice

Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.
- $\mathbf { F } = x ^ { 2 } \mathbf { i } + x y \mathbf { j } + y \mathbf { k } ; \mathrm { C }$ : the counterclockwise path around the perimeter of the rectangle in the $x - y$ plane formed from the $x$ -axis, $y$ -axis, $x = 2$ and $y = 3$

• A) 18
• B) 9
• C) -18
• D) - 9

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Definitions:

Reconstruction Bias

a type of cognitive bias that involves memory errors in which individuals may add or omit details in their recollection of events.

Overconfidence Bias

The tendency to hold a subjective belief unreasonably confidently, making someone believe their ability, or the accuracy of their information, is higher than it actually is.

Confirmation Bias

The bias towards finding, interpreting, selecting, and recollecting evidence in ways that validate one's prior beliefs or notions.

Hindsight Bias

The tendency to believe, after learning an outcome, that one would have foreseen it, known also as the "I-knew-it-all-along" effect.