and ScF-dr = -2pi . C₁ is (x(t), y(t)) = (0, t) C₂ is (x(t), y(t)) (cost, sin t) Sketch, on a separate sheet of paper, the curves C₁ and C₂ with arrows showing their orientation. Next, suppose that F = for 1 < t <1 = for π/2 ≤ t ≤ 3π/2. (6x + 2y) i + 2y j. Calculate SF. dr, where C is the curve given by C = C₁ + C₂.
and ScF-dr = -2pi . C₁ is (x(t), y(t)) = (0, t) C₂ is (x(t), y(t)) (cost, sin t) Sketch, on a separate sheet of paper, the curves C₁ and C₂ with arrows showing their orientation. Next, suppose that F = for 1 < t <1 = for π/2 ≤ t ≤ 3π/2. (6x + 2y) i + 2y j. Calculate SF. dr, where C is the curve given by C = C₁ + C₂.
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:and
ScF-dr = -2pi
.
C₁ is (x(t), y(t)) = (0, t)
C₂ is (x(t), y(t))
(cost, sin t)
Sketch, on a separate sheet of paper, the curves C₁ and C₂ with arrows showing their orientation.
Next, suppose that F
=
for 1 < t <1
=
for π/2 ≤ t ≤ 3π/2.
(6x + 2y) i + 2y j. Calculate SF. dr, where C is the curve given by C = C₁ + C₂.
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