Question 10 a) Evaluate e Lyd y de directly as a line integral, where C is an ellipse parameterized by x = 3 cos(t), y = 2 sin(t), with 0 ≤ t ≤ 2π. b) Apply Green's theorem to find the area enclosed by the curve C of part (a).
Question 10 a) Evaluate e Lyd y de directly as a line integral, where C is an ellipse parameterized by x = 3 cos(t), y = 2 sin(t), with 0 ≤ t ≤ 2π. b) Apply Green's theorem to find the area enclosed by the curve C of part (a).
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 10
a) Evaluate Lyda
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X = 3 cos (t), y = 2 sin(t), with 0 ≤ t ≤ 2π.
b) Apply Green's theorem to find the area enclosed by the curve C of part (a).
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