Confirm that the force field F = xy²i + x²yj is conservative in some open connected region containing the points P(3, 3) and Q(4,8), and then find the work done by the force field on a particle moving along an arbitrary smooth curve in the region from P to Q. NOTE: Enter the exact answer. W =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Confirm that the force field F = xy²i + x²yj is conservative in some
open connected region containing the points P(3, 3) and Q(4,8),
and then find the work done by the force field on a particle moving
along an arbitrary smooth curve in the region from P to Q.
NOTE: Enter the exact answer.
W =
Transcribed Image Text:Confirm that the force field F = xy²i + x²yj is conservative in some open connected region containing the points P(3, 3) and Q(4,8), and then find the work done by the force field on a particle moving along an arbitrary smooth curve in the region from P to Q. NOTE: Enter the exact answer. W =
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