Answered: 9. Compute the flux of the vector field… | bartleby

Algebra & Trigonometry with Analytic Geometry

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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Compute the flux across the curve

9. Compute the flux of the vector field
F(x, y) = (-x sin(1+ xy) – 4cos(Ty), y sin(1+ xy) + 6x)
across the curve
C : r(t) = (t,t),
-1<t< 2
in the 'downward' normal direction
n(t) =
1
(-2t, –1) .
V4t2 + 1
In other words, calculate
F. nds

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