Let $\left. \vec { F } = \left( e ^ { y } + 5 x \right) \right) \vec { i } + \left( 4 y + z \cos x ^ { 5 } \right) \vec { j } + ( 2 z + 5 x ) \vec { k }$

question 61

Essay

Let $\left. \vec { F } = \left( e ^ { y } + 5 x \right) \right) \vec { i } + \left( 4 y + z \cos x ^ { 5 } \right) \vec { j } + ( 2 z + 5 x ) \vec { k }$ Calculate the flux $\int _ { S } \vec { F } \cdot \vec { d A }$ , where S is the sphere (x-2)² + (y-3)² + z² = $4$ oriented inward.

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Definitions:

Trauma-Repression Hypothesis

The theory that individuals may unconsciously block memories of traumatic events as a defense mechanism.

Dissociative Disorders

A group of mental disorders that involve disruptions or discontinuity in a person's consciousness, memory, identity, or perception.

Major Characteristics

Fundamental traits or features that define or distinguish something.

Conversion Disorder

A mental condition where psychological stress manifests as neurological symptoms, such as blindness or paralysis, without a physiological cause.