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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) = 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

Advanced Engineering Mathematics
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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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
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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