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

question 134

Multiple Choice

Use the divergence theorem to evaluate where F(x, y, z) = 2e ^x i - 2ye ^x j + 6z k, n is the outer unit normal to $\sigma$ , and $\sigma$ is the surface of the sphere by x² + y² + z² = 36.

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Definitions:

Donor

A person who makes a gift.

Mutual Benefit Bailment

A bailment arrangement where both the bailor and the bailee receive a benefit from the transaction involving personal property.

Reasonable Care

The degree of caution and consideration an individual or organization is expected to exercise in a particular situation to avoid harm to others or their property.

Bailment

A legal relationship where physical possession of personal property is transferred from one person to another under the agreement that the property will be returned.