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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39ee3059-6733-456c-bbc4-46bedd3c18f2%2Ffca75ed3-f655-4832-947d-82064a695cb9%2Fy18jifs_processed.png&w=3840&q=75)
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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