Answered: Problem 1. Let F be the vector field…

Problem 1. Let F be the vector field (2²z, ryz, r²y), and S the paraboloid z = 1- x2 – y², 2 2 0 with upward pointing normal vector. 1. Calculate the curl of F, V x F. 2. Calculate (V x F) - dS.

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 12P

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Need help with part 2. Please explain each step and neatly type up. Thank you :)

Problem 1. Let F be the vector field (2²z, ryz, r²y), and S the paraboloid z = 1- a2 – y²,
2 2 0 with upward pointing normal vector.
1. Calculate the curl of F, V x F.
2. Calculate
(V x F) · dS.

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