18. Which of these is a conservative vector field given that all fields are open and simply-connected?A. F = xy'i+ 2xyj – xzkB. F = (y + z, x + z,x + y)C. x In y dx + y In z dy – xyz dzD. F = (t,t + 2, t²); x = 2t; y =t – 2; z = t2

Note: We solve only first three sub-parts since it is not mentioned which parts are to be solved.…

Answered: 18. Which of these is a conservative…

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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18. Which of these is a conservative vector field given that all fields are open and simply-connected? A. F = xy²i + 2xyj - xzk B. F= (y + z, x+z,x+y) C. xlny dx + y ln z dy - xyz dz D. F(t, t + 2, t²); x = 2t; y = t - 2; z = t²