7. Evaluate the path integral F. dr whereF(r, y, z) = (3r?yz – 3y)i + (r*z - 3r)j+ (r*y+2z)k%3Dand C is the helix with initial point (2,0, 0) and terminal point (2, 0, 47) defined byr(t) =< 2 cos(t),2 sin(t), t >.

Given that F(x,y,z)=(3x2yz-3y)i→+(x3z-3x)j→+(x3y+2z)k→ To evaluate the integral ∫CF. dr, where C is…

7. Evaluate the path integral F dr where - 3y)i+ (r°z - 3r)j + (ry+22)k F(r, y, z) = (3r yz – 3y)i + (r°z - 3x)j+ (r°y+2z)k and C is the helix with initial point (2,0, 0) and terminal point (2,0, 47) defined by %3D r(t) =< 2 cos(t),2 sin(t), t >.

7. Evaluate the path integral F dr where - 3y)i+ (r°z - 3r)j + (ry+22)k F(r, y, z) = (3r yz – 3y)i + (r°z - 3x)j+ (r°y+2z)k and C is the helix with initial point (2,0, 0) and terminal point (2,0, 47) defined by %3D r(t) =< 2 cos(t),2 sin(t), t >.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

7. Evaluate the path integral F. dr where
F(r, y, z) = (3r?yz – 3y)i + (r*z - 3r)j+ (r*y+2z)k
%3D
and C is the helix with initial point (2,0, 0) and terminal point (2, 0, 47) defined by
r(t) =< 2 cos(t),2 sin(t), t >.

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