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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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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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