Let R denote the rectangle with corners (−1, −2), (4, −2), (4,1), and (-1,1), and let P denote the path going clockwise around this rect- angle, starting and ending at the point (-1,1). Compute JpF. dr, where F(x, y) = (2) Let R denote the rectangle with corners (1, 2), (1,8), (4,2), and (4,8), and let P denote the path going counterclockwise around this rectan- gle, starting and ending at the point (1,2). Compute fpF-dr, where y-49 F(x, y) = (22+y).
Let R denote the rectangle with corners (−1, −2), (4, −2), (4,1), and (-1,1), and let P denote the path going clockwise around this rect- angle, starting and ending at the point (-1,1). Compute JpF. dr, where F(x, y) = (2) Let R denote the rectangle with corners (1, 2), (1,8), (4,2), and (4,8), and let P denote the path going counterclockwise around this rectan- gle, starting and ending at the point (1,2). Compute fpF-dr, where y-49 F(x, y) = (22+y).
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

Transcribed Image Text:Let R denote the rectangle with corners (-1,-2), (4, -2), (4,1), and
(-1, 1), and let P denote the path going clockwise around this rect-
angle, starting and ending at the point (-1,1). Compute pF. dr,
where F(x, y) = (y).
Let R denote the rectangle with corners (1, 2), (1,8), (4,2), and (4,8),
and let P denote the path going counterclockwise around this rectan-
gle, starting and ending at the point (1,2). Compute ſpF · dř, where
F(x, y) = (2²+y).
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