Use Stoke's Theorem to Evaluate $\iint _ { S } \mathbf { F } \cdot d r .$

question 113

Short Answer

Use Stoke's theorem to evaluate $\iint _ { S } \mathbf { F } \cdot d r .$ $\mathbf { F } ( x , y , z ) = 4 z \mathbf { i } + 2 x \mathbf { j } + 6 y \mathbf { k }$ C is the curve of intersection of the plane z = x + 9 and the cylinder $x ^ { 2 } + y ^ { 2 } = 9$

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Definitions:

Conflict Perspective

A theoretical framework in sociology that views social life as a competition for limited resources, emphasizing the conflicts between differing social classes and groups.

Reproduce Inequality

The perpetuation and maintenance of unequal social structures and relationships across generations, often through institutional practices and cultural norms.

Unequal Funding

The disparity or imbalance in financial resources allocated to different institutions, organizations, or sectors, often leading to inequalities in quality and outcomes.

Self-Fulfilling Prophecy

A belief or prediction that, by being spoken or thought of, influences events to unfold in a way that confirms the belief or prediction.