[Law of Diffusion] According to the law of diffusion, particles in a gas will move in the direction which decreases the concentration the quickest. We have a box (in the region 0 ≤ 1, y, z ≤ 10) of particles and the concentration (in ppm) of particles in the box is modeled by z² C(z, y, ²) — 1+z²+y² (a) A particle at the point (2, 1,4) will move in what direction? (Give your answer as a unit vector.) (b) Are there any positions in the box where the particles will move vertically?
[Law of Diffusion] According to the law of diffusion, particles in a gas will move in the direction which decreases the concentration the quickest. We have a box (in the region 0 ≤ 1, y, z ≤ 10) of particles and the concentration (in ppm) of particles in the box is modeled by z² C(z, y, ²) — 1+z²+y² (a) A particle at the point (2, 1,4) will move in what direction? (Give your answer as a unit vector.) (b) Are there any positions in the box where the particles will move vertically?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![1. [Law of Diffusion] According to the law of diffusion, particles in a gas will move in the direction which
decreases the concentration the quickest. We have a box (in the region 0 ≤ x, y, z ≤ 10) of particles and the
concentration (in ppm) of particles in the box is modeled by
C(x, y, z) = 1+x² + y²
(a) A particle at the point (2, 1, 4) will move in what direction? (Give your answer as a unit vector.)
(b) Are there any positions in the box where the particles will move vertically?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34e6895f-8abd-4c7c-a38e-4b1b563dc71a%2Fc7e0a4d9-25e9-4730-913d-ec40e0a777dd%2Ffdc67ak_processed.png&w=3840&q=75)
Transcribed Image Text:1. [Law of Diffusion] According to the law of diffusion, particles in a gas will move in the direction which
decreases the concentration the quickest. We have a box (in the region 0 ≤ x, y, z ≤ 10) of particles and the
concentration (in ppm) of particles in the box is modeled by
C(x, y, z) = 1+x² + y²
(a) A particle at the point (2, 1, 4) will move in what direction? (Give your answer as a unit vector.)
(b) Are there any positions in the box where the particles will move vertically?
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