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3. Determine whether F is a conservative vector field. If it is, find a function f such that F = Vf. F= (4x cosy-ycosx )i+[-2x* siny– sin x }i

3. Determine whether F is a conservative vector field. If it is, find a function f such that F = Vf. F= (4x cosy-ycosx )i+[-2x* siny– sin x }i

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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3. Determine whether F is a conservative vector field. If it is, find a function f such that F= Vf. F= (4x cosy-ycosx)i+(-2x*siny– sin x ]j
Transcribed Image Text:3. Determine whether F is a conservative vector field. If it is, find a function f such that F= Vf. F= (4x cosy-ycosx)i+(-2x*siny– sin x ]j
2. Evaluate the line integral. 6J yz cosx ds C:x = t, y = cost, z = sint 0stST
Transcribed Image Text:2. Evaluate the line integral. 6J yz cosx ds C:x = t, y = cost, z = sint 0stST
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