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19. If F(2, y, z) = (2xz, 3y - 22,1 + a2) and C is the path along a2 + y? 1 in the plane z = 0 from (1,0,0) to (0, 1,0), then straight up to (0, 1, 2), then to the point (1,0, 2) along the circle a² +y? = 1 in the plane z = 2, then straight down back to (1,0,0), calculate the work done by the field on a particle moving along the loop.

19. If F(2, y, z) = (2xz, 3y - 22,1 + a2) and C is the path along a2 + y? 1 in the plane z = 0 from (1,0,0) to (0, 1,0), then straight up to (0, 1, 2), then to the point (1,0, 2) along the circle a² +y? = 1 in the plane z = 2, then straight down back to (1,0,0), calculate the work done by the field on a particle moving along the loop.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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19. If F(r, y, z) = (2xz, 3y – z2,1+ x²) and C is the path along r + y = 1 in the plane z = 0 from (1,0,0) to (0,1, 0), then straight up to (0, 1, 2), then to the point (1,0, 2) along the circle r2+ y? = 1 in the plane z = 2, then straight down back to (1,0,0), calculate the work done by the field on a particle moving along the loop. %3D
Transcribed Image Text:19. If F(r, y, z) = (2xz, 3y – z2,1+ x²) and C is the path along r + y = 1 in the plane z = 0 from (1,0,0) to (0,1, 0), then straight up to (0, 1, 2), then to the point (1,0, 2) along the circle r2+ y? = 1 in the plane z = 2, then straight down back to (1,0,0), calculate the work done by the field on a particle moving along the loop. %3D
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