Evaluate F dr for the vector field F and the path C. (Hint: Show that F is conservative, and pick a simpler path.) F(x, y) = (16xy²– 4ysin x}i+(16x³y+ 4cos x]j C: r(t) = (-1- sin t)i+ 5cos tj; 0sts a 16 46 -40cos(-1)
Evaluate F dr for the vector field F and the path C. (Hint: Show that F is conservative, and pick a simpler path.) F(x, y) = (16xy²– 4ysin x}i+(16x³y+ 4cos x]j C: r(t) = (-1- sin t)i+ 5cos tj; 0sts a 16 46 -40cos(-1)
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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![Evaluate
F'dr for the vector field F and the path C. (Hint: Show that F is conservative, and pick a simpler
path.)
F(x, y)= (16xy²–4ysin x]i+(16x²y+ 4cos xlj
C: r(t) = (-1- sin t)i+5cos tj; 0<tSa
O 16
O 46
O -40cos(-1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feeaa6097-83f6-46df-a04d-008cb1c9dad1%2Fdf253b9c-fc12-40aa-b1c5-4a317d56ed0e%2Fxlg1dip_processed.png&w=3840&q=75)
Transcribed Image Text:Evaluate
F'dr for the vector field F and the path C. (Hint: Show that F is conservative, and pick a simpler
path.)
F(x, y)= (16xy²–4ysin x]i+(16x²y+ 4cos xlj
C: r(t) = (-1- sin t)i+5cos tj; 0<tSa
O 16
O 46
O -40cos(-1)
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