1) Find the work done by the vector field F(x, y, z) = (x², 4xy' , xy² ) on a particle thattraverses the rectangle in the z = y with the vertices (0, 0, 0), (0, 3, 3) , (1, 3, 3) , and(1, 0, 0) .

Given force is F→x,y,z=x2,4xy3,xy2 Let r→=rt→ be the boundary of the rectangle with vertices 0,0,0,…

1) Find the work done by the vector field F(x, y, z) = (x², 4xy³, xy²) on a particle that %3D traverses the rectangle in the z = y with the vertices (0, 0, 0) , (0, 3, 3) , (1, 3, 3) , and (1, 0, 0) .

1) Find the work done by the vector field F(x, y, z) = (x², 4xy³, xy²) on a particle that %3D traverses the rectangle in the z = y with the vertices (0, 0, 0) , (0, 3, 3) , (1, 3, 3) , and (1, 0, 0) .

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 12CM

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Question

1) Find the work done by the vector field F(x, y, z) = (x², 4xy' , xy² ) on a particle that
traverses the rectangle in the z = y with the vertices (0, 0, 0), (0, 3, 3) , (1, 3, 3) , and
(1, 0, 0) .

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