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(b) Verify your answer in (a) using Stokes' theorem, where the normal vector to the surface has a positive vertical component.

(b) Verify your answer in (a) using Stokes' theorem, where the normal vector to the surface has a positive vertical component.

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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please answer the letter b only

A particle moves along straight line paths from the origin to 1,2,1 to -1,2,1 and back to the origin under the influence of the force field .F-yi+2xzj+4x^2k. (a) Calculate the total work done fcF.dr by the particle moving along the three straight line paths. Hint: a surface S formed by the three straight lines is the plane y=2z. (b) Verify your answer in (a) using Stokes' theorem, where the normal vector to the surface has a positive vertical component.
Transcribed Image Text:A particle moves along straight line paths from the origin to 1,2,1 to -1,2,1 and back to the origin under the influence of the force field .F-yi+2xzj+4x^2k. (a) Calculate the total work done fcF.dr by the particle moving along the three straight line paths. Hint: a surface S formed by the three straight lines is the plane y=2z. (b) Verify your answer in (a) using Stokes' theorem, where the normal vector to the surface has a positive vertical component.
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