Answered: 8 Consider the hemispherical surface Σ… | bartleby

Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 12CM

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the answer is A, could you explain how using STOKE'S theorem

8 Consider the hemispherical surface Σ = {(x, y, z) = R³ : x² + y² + z² = 1, z > 0} with
normal vector pointing towards the origin. The flux of the curl of F(x,y) = (x − 2y +
3z, 2x + 3yz, 3x − y + 2z) through Σ takes value:
(A) -4π
(B) 0
(C) -1
(D)
-π
-

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