(c) Part of the parabola y = 2(x + 1)² from the point (0, 2) to the point (-1,0). (d) Counterclockwise around the perimeter of a triangle of area 3. Hint: If the curve C is a finite union of the smooth curves C₁,, Cn joining n | sds = [[! Σfds. i=1 Ci end to end then
(c) Part of the parabola y = 2(x + 1)² from the point (0, 2) to the point (-1,0). (d) Counterclockwise around the perimeter of a triangle of area 3. Hint: If the curve C is a finite union of the smooth curves C₁,, Cn joining n | sds = [[! Σfds. i=1 Ci end to end then
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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This is
![(c) Part of the parabola y = 2(x + 1)² from the point (0, 2) to the point (-1,0).
(d) Counterclockwise around the perimeter of a triangle of area 3.
Hint: If the curve C is a finite union of the smooth curves C₁,, Cn joining
n
| sds = [ ] ₁ !
i=1
end to end then](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e605900-2fca-4b5f-8414-bb83c48d1fa4%2F8a0522d6-8fdf-4f30-9ddf-b56e11376a9d%2Ftp414b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(c) Part of the parabola y = 2(x + 1)² from the point (0, 2) to the point (-1,0).
(d) Counterclockwise around the perimeter of a triangle of area 3.
Hint: If the curve C is a finite union of the smooth curves C₁,, Cn joining
n
| sds = [ ] ₁ !
i=1
end to end then

Transcribed Image Text:(2) Evaluate the line integral of f(x, y) = y + x along the following paths in the
xy-plane.
(a) Straight line from (0, 1) to (1, 2).
(b) Counterclockwise around the circle of radius 4 centered at the origin, starting
from (4,0) and ending at (0, -4).
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