Let F be a continuous and differentiable vector field. Suppose, for every value of r, the total flux Fout of a sphere of radius r centered at point P is given by 8r*- 3r3. a. Estimate the divergence of the field at point P (Div F(P)) using a sphere of radius 0.2 centered at P. You do not need to simplify your answer.
Let F be a continuous and differentiable vector field. Suppose, for every value of r, the total flux Fout of a sphere of radius r centered at point P is given by 8r*- 3r3. a. Estimate the divergence of the field at point P (Div F(P)) using a sphere of radius 0.2 centered at P. You do not need to simplify your answer.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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![8. Let F be a continuous and differentiable vector field. Suppose, for every value of r, the
total flux Fout of a sphere of radius r centered at point P is given by 8r-3r3.
Estimate the divergence of the field at point P (Div F(P)) using a sphere of
radius 0.2 centered at P. You do not need to simplify your answer.
b. Find an even better estimate of Div F(P).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3cafc875-c515-4f4f-8fc2-c1529ef12aec%2F0785f400-00d7-44db-a2a3-5dc7c162a7c3%2Fshizn9q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8. Let F be a continuous and differentiable vector field. Suppose, for every value of r, the
total flux Fout of a sphere of radius r centered at point P is given by 8r-3r3.
Estimate the divergence of the field at point P (Div F(P)) using a sphere of
radius 0.2 centered at P. You do not need to simplify your answer.
b. Find an even better estimate of Div F(P).
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