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Look at the vector field in the plane F. Xi - j

Look at the vector field in the plane F. Xi - j

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 30E
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Look at the vector field in the plane F- Xi - j- a) Has F a poten tial D) Find the general equation for F's field lines. Outline them together with the vector field a diagram. c) Sketch the image in as the parameterized Curve C: r(t) = costi - sintj, os ts 30/2, generates in the plane line integral and calculate F:S a long c. d) Let TCR be the triangle with comers in (0,0), (0, 1) and (a, b) where a,b> 0 and C its edge oriented clock wise. Calculate S(F+ xj)• dr. + X) C
Transcribed Image Text:Look at the vector field in the plane F- Xi - j- a) Has F a poten tial D) Find the general equation for F's field lines. Outline them together with the vector field a diagram. c) Sketch the image in as the parameterized Curve C: r(t) = costi - sintj, os ts 30/2, generates in the plane line integral and calculate F:S a long c. d) Let TCR be the triangle with comers in (0,0), (0, 1) and (a, b) where a,b> 0 and C its edge oriented clock wise. Calculate S(F+ xj)• dr. + X) C
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