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16. Compute the flux V· nds of the vector field V(r, y) = (x² – 2ry, y² – 2xy) across the curve C : r(t) = (In(1+ t²), e'), 0

16. Compute the flux V· nds of the vector field V(r, y) = (x² – 2ry, y² – 2xy) across the curve C : r(t) = (In(1+ t²), e'), 0

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 16P
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Complete the flux of the given vector field across the curve in the downward normal direction.

16. Compute the flux V· nds of the vector field V (x, y) = (x² – 2xy, y² – 2xy) - across the curve C : r(t) = (In(1 + t²), e'), 0 <t < 1 V1+t? Vet+(4+2e')t²+etta 2t in the downward normal direction n(t) %3D 1+t?
Transcribed Image Text:16. Compute the flux V· nds of the vector field V (x, y) = (x² – 2xy, y² – 2xy) - across the curve C : r(t) = (In(1 + t²), e'), 0 <t < 1 V1+t? Vet+(4+2e')t²+etta 2t in the downward normal direction n(t) %3D 1+t?
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