2. Let C be the curve of intersection between the cylinder r2+y = 1 and r-2y+z = 0, oriented counter- clockwise when viewed from above. Calculate the work done by the vector field (r2 + 2z, y3 – a?, 3y) on a particle moving along C. Do this calculation twice; once directly and once using Stokes' theorem, and verify that you get the same answer.
2. Let C be the curve of intersection between the cylinder r2+y = 1 and r-2y+z = 0, oriented counter- clockwise when viewed from above. Calculate the work done by the vector field (r2 + 2z, y3 – a?, 3y) on a particle moving along C. Do this calculation twice; once directly and once using Stokes' theorem, and verify that you get the same answer.
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
Section9.6: Equations Of Lines And Planes
Problem 2E
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Question
![2. Let C be the curve of intersection between the cylinder r2+y = 1 and r-2y+z = 0, oriented counter-
clockwise when viewed from above. Calculate the work done by the vector field (r? + 2z, y3 – a?, 3y)
on a particle moving along C. Do this calculation twice; once directly and once using Stokes' theorem,
and verify that you get the same answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06cd2e35-443e-495f-88e1-7b69cb04e155%2F4bf7e6ed-1949-4244-a9eb-30b72b7b8a1b%2Fgr0nsvn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Let C be the curve of intersection between the cylinder r2+y = 1 and r-2y+z = 0, oriented counter-
clockwise when viewed from above. Calculate the work done by the vector field (r? + 2z, y3 – a?, 3y)
on a particle moving along C. Do this calculation twice; once directly and once using Stokes' theorem,
and verify that you get the same answer.
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