6) Apply Fundamental Theorem ofLine Integralsintegralto evaluate the lineShcxry)dsCलwhere C is the square with vertices10,0), (1,0), (1,4) and 10,1) traversedCounter clockwise andh (x,y) =( 3x²y+ xy%-1)i + lx²+x?y+ ky') f

Given, ∫chx,ydS=∫c3x2y+xy2-1i^+x3+x2y+4y3j^dS=∫c3x2y+xy2-1dx+x3+x2y+4y3dy

6) Apply Fundamental Theorem of eine Integrals ntegral to evaluate the line where C is the square with vertices 10,0), (1,0), (1,4) and 10,1) traversed Counter clockwise and h (x,y) =( 3x²y+ xyz-1); + (x²+x?y+ ky') %3D

6) Apply Fundamental Theorem of eine Integrals ntegral to evaluate the line where C is the square with vertices 10,0), (1,0), (1,4) and 10,1) traversed Counter clockwise and h (x,y) =( 3x²y+ xyz-1); + (x²+x?y+ ky') %3D

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.4: Linear Programming

Problem 8E

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Question

6) Apply Fundamental Theorem of
Line Integrals
integral
to evaluate the line
Shcxry)ds
C
ल
where C is the square with vertices
10,0), (1,0), (1,4) and 10,1) traversed
Counter clockwise and
h (x,y) =( 3x²y+ xy%-1)i + lx²+x?y+ ky') f

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