(c) EvaluateF. dĩ where 7(t) = t^ i + 2t² j, 0 11. LetF(x, y) = (ye* – 6x))i + (xe*v + 4)j(a) Show that F~ is a conservative vector field.(b) Find a function f(x.y) so thatF (x, y) = Vƒ(x, y).

Answered: Image /qna-images/answer/5c217ca3-5f27-4ed0-afe1-7407e66d7973.jpg

Answered: 11. LetF(x, y) = (ye™ – 6x))i + (xe™v +…

11. LetF(x, y) = (ye™ – 6x))i + (xe™v + 4)7 (a) Show that F~ is a conservative vector field. (b) Find a function f(x.y) so thatF(x, y) = Vf(x, ).

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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A: Solution

Question

(c) Evaluate
F. dĩ where 7(t) = t^ i + 2t² j, 0 <t<1.

11. LetF(x, y) = (ye* – 6x))i + (xe*v + 4)j
(a) Show that F~ is a conservative vector field.
(b) Find a function f(x.y) so thatF (x, y) = Vƒ(x, y).

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