Find the Outward Flux of F(x, Y, Z) = 4x

question 73

Multiple Choice

Find the outward flux of F(x, y, z) = 4x i + 4y j + 4(z - 2) k across the rectangular box with vertices (0, 0, 0) , (0, 0, 1) , (0, 1, 0) , (0, 1, 1) , (3, 0, 0) , (3, 1, 0) , (3, 0, 1) , and (3, 1, 1) .

• A) 12
• B) 36
• C) 0
• D) 1
• E) 4

---

Definitions:

Electrical Charge

A fundamental property of matter that causes it to experience a force when placed in an electromagnetic field, which can be positive or negative.

Peripheral Nervous System

A part of the nervous system that consists of nerves and ganglia outside of the brain and spinal cord, responsible for connecting the CNS to limbs and organs.

Controls Muscles

The neurological process that governs the ability to initiate, direct, and coordinate voluntary muscle movements.

New Neurons

Newly generated nerve cells in the brain, a process known as neurogenesis, which is crucial for learning and memory.