Let F (x, y, z) = (e*y - 2x, ex + 2yz, e*xy + y?). a) Using the Curl-test decide whether F is conservative or not! If it is, determine the potential function! b) Let y be the broken line connecting the points A = (1,-2, 0), B = (0, 2, 2) and C = (0, 1,0). Calculate F dr =? %3D

Let F (x, y, z) = (ey - 2x, ex + 2yz, exy + y?). a) Using the Curl-test decide whether F is conservative or not! If it is, determine the potential function! b) Let y be the broken line connecting the points A = (1,-2, 0), B = (0, 2, 2) and C = (0, 1,0). Calculate F dr =? %3D

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

Let F (x, y, z) = (e*y – 2x, er + 2yz, e*xy+y?).
a) Using the Curl-test decide whether F is conservative or not! If it is,
-
determine the potential function!
b) Let y be the broken line connecting the points A
B = (0, 2, 2) and C = (0, 1,0). Calculate F dr =?
(1, –2,0),
%3D

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