b. Let g(x, y) = (2xy +e² − 3)i + (x² − y² +sin y)j. Calculate g(r) dr where C' is the ellipse 4x² +9y² = 36

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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b.
Let g(x, y) = (2xy + e* − 3)i+ (x² − y² +sin y)j. Calculate f g(r)·dr where C is the ellipse
4x² +9y² = 36
Use Green's Theorem to find the area enclosed by the asteroid
r(u) = cos³ ui+sin³ uj, 0≤u ≤ 2π
C.
Transcribed Image Text:b. Let g(x, y) = (2xy + e* − 3)i+ (x² − y² +sin y)j. Calculate f g(r)·dr where C is the ellipse 4x² +9y² = 36 Use Green's Theorem to find the area enclosed by the asteroid r(u) = cos³ ui+sin³ uj, 0≤u ≤ 2π C.
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