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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Question

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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