(a) Let = 2x+³3-zk and let C by the path from (1,0,0) to (0,2,0) as shown below. Find √ Ễ - dŔ So F.dk = Hint: need to split into two parts potentially (b) Close the path by the straight line segment from (0,2,0) to (1,0,0). Evaluate ƒ³· dŔ $ F.dŔ= Hint: NOT a conservative field I C₁ (1,0,0) (0,0,1) 02 (0,2,0) y

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(a) Let = 2x+³3-zk and let C by the path from (1,0,0) to (0,2,0) as shown below. Find √ Ễ - dŔ
So F.dk =
Hint: need to split into two parts potentially
(b) Close the path by the straight line segment from (0,2,0) to (1,0,0). Evaluate ƒ³· dŔ
$ F.dŔ=
Hint: NOT a conservative field
I
C₁
(1,0,0)
(0,0,1)
02
(0,2,0)
y
Transcribed Image Text:(a) Let = 2x+³3-zk and let C by the path from (1,0,0) to (0,2,0) as shown below. Find √ Ễ - dŔ So F.dk = Hint: need to split into two parts potentially (b) Close the path by the straight line segment from (0,2,0) to (1,0,0). Evaluate ƒ³· dŔ $ F.dŔ= Hint: NOT a conservative field I C₁ (1,0,0) (0,0,1) 02 (0,2,0) y
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