Some mass of material is released at the point z = 0. At t> 0 the material density evolves according to the formula P(-17). 1. Sketch p and against z (direct axis a to the right) at some moment t> 0 (no accuracy is required, just show general trends). p=t-1/2 e 2 exp

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...
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Some mass of material is released at the point z = 0. At t> 0 the material
density evolves according to the formula
P(-17).
1. Sketch p and against z (direct axis a to the right) at some moment
t> 0 (no accuracy is required, just show general trends).
p=t-1/2 e
2 exp
Transcribed Image Text:Some mass of material is released at the point z = 0. At t> 0 the material density evolves according to the formula P(-17). 1. Sketch p and against z (direct axis a to the right) at some moment t> 0 (no accuracy is required, just show general trends). p=t-1/2 e 2 exp
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3. Find the flux of material as a function of r and t and show that at x = 1
the material is tranferred to the right and at x = -1 the material is
tranferred to the left.
Transcribed Image Text:3. Find the flux of material as a function of r and t and show that at x = 1 the material is tranferred to the right and at x = -1 the material is tranferred to the left.
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Follow-up Question
2. Verify that p satisfies the diffusion equation
др
at
k
да
Transcribed Image Text:2. Verify that p satisfies the diffusion equation др at k да
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