Check that F(r, y, z) = (yz + y)i+ (xz+z + sen(z))j+ (ry+ 2z+ ycos(z) + 1)k is aconservative field and find a potential function. Use this potential function to calculateF- dr, where C the parabola y =r² at z = 2 connecting the point A(2, 4, 2) to the pointВ(0, 0, 2).

Answered: Image /qna-images/answer/b32d05a9-72d3-4e26-b6e2-69a63782eb4f.jpg

Answered: Check that F(r, y, z) = (yz + y)i+…

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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Check that F(r, y, z) = (yz + y)i+ (xz+z + sen(z))j+ (ry+ 2z+ ycos(z) + 1)k is a conservative field and find a potential function. Use this potential function to calculate F- dr, where C the parabola y =r² at z = 2 connecting the point A(2, 4, 2) to the point В(0, 0, 2).