Consider the vector field F (x+ y)i + (x² + y²)j What is the downward flux across the line segment from (0,0) to (-10,0)? (a) For (F N) ds, r(t) = E for 0
Consider the vector field F (x+ y)i + (x² + y²)j What is the downward flux across the line segment from (0,0) to (-10,0)? (a) For (F N) ds, r(t) = E for 0
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 15CM
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![Consider the vector field F =
(x + y)i + (x2 + y²)j. What is the downward flux across the line segment from (0,0) to (–10,0)?
(a) For
(F N) ds,
r(t) =
Z for 0 <t < .
F(r(t)).
Σ
N =
Σ
ds
E dt
|(F N) ds =
(b) And so,
Consider again the vector field F
(x + y)i+ (x2 + y² )j _What is the downward flux across the line segment from (9,0) to (0, –9)?
%3D
(a) For
(F · N) ds,
r(t) =
E for 0 <t < 1
F(r(t))
Σ
N =
Σ
ds =
E dt
(b) And so,
(F N) ds
Σ](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0695e04c-6177-4dae-ae8e-62e62853c8ae%2Feb07f71b-cf89-486b-bdd7-a58f6f69b6c0%2Fd8791n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the vector field F =
(x + y)i + (x2 + y²)j. What is the downward flux across the line segment from (0,0) to (–10,0)?
(a) For
(F N) ds,
r(t) =
Z for 0 <t < .
F(r(t)).
Σ
N =
Σ
ds
E dt
|(F N) ds =
(b) And so,
Consider again the vector field F
(x + y)i+ (x2 + y² )j _What is the downward flux across the line segment from (9,0) to (0, –9)?
%3D
(a) For
(F · N) ds,
r(t) =
E for 0 <t < 1
F(r(t))
Σ
N =
Σ
ds =
E dt
(b) And so,
(F N) ds
Σ
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