3. Consider the vector field F(x, y) = (2xy, x² – sin y). Evaluate %3D F. ds where C is the curve c(t) = (t2/3,T sin(t)), 0
3. Consider the vector field F(x, y) = (2xy, x² – sin y). Evaluate %3D F. ds where C is the curve c(t) = (t2/3,T sin(t)), 0
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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plz solve it within 30-40 mins I'll upvote your answer

Transcribed Image Text:3. Consider the vector field F(x, y) = (2xy, x² – sin y). Evaluate
F. ds
where C is the curve c(t) = (t2/3, T sin()), 0<t< 1. (Hint: Apply Green's theorem to a
suitable region.)
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