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)? (a) For (F N) ds, r(t): E for 0

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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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)?
(a) For
(F N) ds,
r(t) :
E for 0 <t<1.
F(r(t))
Σ
N =
Σ
ds =
Σdt
(b) And so,
(F N) ds =
Σ
M.
Transcribed Image Text: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)? (a) For (F N) ds, r(t) : E for 0 <t<1. F(r(t)) Σ N = Σ ds = Σdt (b) And so, (F N) ds = Σ M.
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