19. Consider the vector field V(x, y, z) = ( HÓ-DE) 1-y x²+(y–1)² » 2+(y-1)2 and the curves 8 : 2 + (y – 1)? =1, :2² + (y – 2)² = 4 and C3 : 2² + (y – 4)² = 1. C3 : x² + (y – 4)² = 1. | (a) Compute V• dr.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 16P
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19. Consider the vector field
V(r, y, 2) =
1-y
|x²+(y-1)² > x²+(y-1)²
(y: H)
and the curves
C1 : x² + (y – 1)2 = 1, 62 : x² + (y – 2)² = 4 and 63 : x² + (y – 4)² = 1.
(a) Compute
V• dr.
Transcribed Image Text:19. Consider the vector field V(r, y, 2) = 1-y |x²+(y-1)² > x²+(y-1)² (y: H) and the curves C1 : x² + (y – 1)2 = 1, 62 : x² + (y – 2)² = 4 and 63 : x² + (y – 4)² = 1. (a) Compute V• dr.
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