(a) Evaluate fF.dr, where F(x,y) = ( 32² (₁²²1 - 32²y) ₁ + (8y-2² - (²²12) j and C is the line segment from (1, 2) to (4, 3).
(a) Evaluate fF.dr, where F(x,y) = ( 32² (₁²²1 - 32²y) ₁ + (8y-2² - (²²12) j and C is the line segment from (1, 2) to (4, 3).
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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Transcribed Image Text:(a) Evaluate fF.dr, where
F(x, y) =
and C' is the line segment from (1,2) to (4, 3).
(b) Evaluate the integral
3x²
- (2²-²-²2-22²³ ) ₁ + (80 - 2² - 2²12²)
3x²y 8y
y-1
(y -
along the path c(t) = (et, et) for −1≤t≤1.
[re
xe* dr+rydy
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