(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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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This is Vector Calculus. Please answer thoroughly with clear answers and explanations. This is a 4 part question split into two different posts. PLEASE ONLY ANSWER PARTS C and D. Thank you 

(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:(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
(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).
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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