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Verify if the vector field F = (x² cos(3y), -³ sin(3y)) is conservative and evaluate the line integral Je where C' is the curve parameterized by R=< t, 2t² > for 0 < t < 1. cos(6) 3 A. I = B. I O c. I - OD. I = 0 E. I sin(6) 4 23 cos(3) 2 F. dR

Verify if the vector field F = (x² cos(3y), -³ sin(3y)) is conservative and evaluate the line integral Je where C' is the curve parameterized by R=< t, 2t² > for 0 < t < 1. cos(6) 3 A. I = B. I O c. I - OD. I = 0 E. I sin(6) 4 23 cos(3) 2 F. dR

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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Verify if the vector field F = (x² cos(3y), -³ sin(3y)) is conservative and evaluate the line integral Je where C' is the curve parameterized by R=< t, 2t² > for 0 < t < 1. cos(6) 3 A. I = B. I O c. I - OD. I = 0 E. I sin(6) 4 23 cos(3) 2 F. dR
Transcribed Image Text:Verify if the vector field F = (x² cos(3y), -³ sin(3y)) is conservative and evaluate the line integral Je where C' is the curve parameterized by R=< t, 2t² > for 0 < t < 1. cos(6) 3 A. I = B. I O c. I - OD. I = 0 E. I sin(6) 4 23 cos(3) 2 F. dR
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