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Consider the force field F = (3x²yz - y + z, x³z - x, x³y + x). (a) Verify that it is a conservative field (no tornado). (b) Use the Fundamental Theorem for Line Integrals, namely the potential method, to find the work [₁ F dr done by the force on a particle that moves along the line- segment from (2, 3, -1) to (-5, 6, -4).

Consider the force field F = (3x²yz - y + z, x³z - x, x³y + x). (a) Verify that it is a conservative field (no tornado). (b) Use the Fundamental Theorem for Line Integrals, namely the potential method, to find the work [₁ F dr done by the force on a particle that moves along the line- segment from (2, 3, -1) to (-5, 6, -4).

Advanced Engineering Mathematics
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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Consider the force field F = (3x²yz - y + z, x³z - x, x³y + x). (a) Verify that it is a conservative field (no tornado). (b) Use the Fundamental Theorem for Line Integrals, namely the potential method, to find the work F. dr done by the force on a particle that moves along the line C segment from (2, 3, -1) to (-5, 6,-4). 21 77 JC S
Transcribed Image Text:Consider the force field F = (3x²yz - y + z, x³z - x, x³y + x). (a) Verify that it is a conservative field (no tornado). (b) Use the Fundamental Theorem for Line Integrals, namely the potential method, to find the work F. dr done by the force on a particle that moves along the line C segment from (2, 3, -1) to (-5, 6,-4). 21 77 JC S
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