Evaluate Where F(x, Y, Z) = 4x I $\sigma$ Is That Portion of the Plane 2x + 3y

question 44

Multiple Choice

Evaluate where F(x, y, z) = 4x i + 4y j + 4z k and $\sigma$ is that portion of the plane 2x + 3y + 4z = 12 which lies in the first octant and is oriented by upward unit normals.

• A) 144
• B) 16
• C) 36
• D) 72
• E) 0

---

Definitions:

Ideal Conditions

Describes the most favorable circumstances or settings in which a specific process or experiment could occur without any impediments.

Serotonin

A neurotransmitter in the brain that affects mood, social behavior, appetite, digestion, sleep, memory, and sexual desire and function.

Dopamine

A neurotransmitter involved in controlling movement and posture, moderating mood, and affecting motivation and reward.

Impulsivity

A tendency to act on a whim, displaying behavior characterized by little or no forethought, reflection, or consideration of the consequences.