Use the Divergence Theorem to Evaluate Where F(x, Y $\sigma$

question 65

Short Answer

Use the divergence theorem to evaluate where F(x, y, z) = 11yz i + 11xy j + 11xz k, n is the outer unit normal to $\sigma$ , and $\sigma$ is the surface enclosed by the cylinder x² + z² = 1 and the planes y = -1 and y = 1.

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Definitions:

Reflexive Modernity

A new period of modernity in which the traditional stability-maintaining structures of class, family, and industrial forms of production have waned, placing greater pressure on people to create their own sense of stability and identity.

Ontological Security

A stable mental state derived from a sense of continuity in one's social and material identities, providing a sense of order in one's life.

Task Time

An organic sense of time in which work is shaped by the demands of the task to be performed. For example, work in a farming community is shaped by the seasons.