Solution Found!
?Show that F is conservative and use this fact to evaluate ?C F dr along the given
Chapter 16, Problem 14(choose chapter or problem)
QUESTION:
Show that F is conservative and use this fact to evaluate ∫C F dr along the given curve.
F(x, y, z) = ey i + (xey + ez) j + yez k,
C is the line segment from (0, 2, 0) to (4, 0, 3)
Questions & Answers
QUESTION:
Show that F is conservative and use this fact to evaluate ∫C F dr along the given curve.
F(x, y, z) = ey i + (xey + ez) j + yez k,
C is the line segment from (0, 2, 0) to (4, 0, 3)
ANSWER:
Step 1 of 6
According to the definition of curl,
Where,
For to be conservative,
Which get simplified to following expression: