I circled the correct answer, could you show me how to do it using divergence and polar coordinates 1 The flux of the vector field F(x, y, z) = (y − z² + 2x³, −z + x² + 2y³, x − y²+22³) out-going from the set {(x, y, z) = R³ : x² + y² − 1 ≤ z ≤ 0} is(A)πK20(B) 00 0 03πT

1 The flux of the vector field F(x, y, z) = (y − z² + 2x³, −z + x² + 2y³, x − y²+22³) out- going from the set {(x, y, z) = R³ : x² + y² − 1 ≤ z ≤ 0} is (A) π K20 (B) 0 0 0 0 3πT

1 The flux of the vector field F(x, y, z) = (y − z² + 2x³, −z + x² + 2y³, x − y²+22³) out- going from the set {(x, y, z) = R³ : x² + y² − 1 ≤ z ≤ 0} is (A) π K20 (B) 0 0 0 0 3πT

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 16P

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Question

I circled the correct answer, could you show me how to do it using divergence and polar coordinates

1 The flux of the vector field F(x, y, z) = (y − z² + 2x³, −z + x² + 2y³, x − y²+22³) out-
going from the set {(x, y, z) = R³ : x² + y² − 1 ≤ z ≤ 0} is
(A)
π
K20
(B) 0
0 0 0
3πT

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