surface = Ex.4 The flux of the curl of the vector field F(x, y, z) = (y², x, z² - 3xy) through the {(x, y, z) = R³ : z = x² + y², z ≤ 4}, oriented such that its normal vector forms an acute angle with the positive z half-axis, takes value: (A) 0 4π (C) -8π (D) 16π

surface = Ex.4 The flux of the curl of the vector field F(x, y, z) = (y², x, z² - 3xy) through the {(x, y, z) = R³ : z = x² + y², z ≤ 4}, oriented such that its normal vector forms an acute angle with the positive z half-axis, takes value: (A) 0 4π (C) -8π (D) 16π

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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Question

could you explain this using stoke theorem
i already circled the correct answer

surface
=
Ex.4 The flux of the curl of the vector field F(x, y, z) = (y², x, z² - 3xy) through the
{(x, y, z) = R³ : z = x² + y², z ≤ 4}, oriented such that its normal
vector forms an acute angle with the positive z half-axis, takes value:
(A) 0
4π
(C) -8π
(D) 16π

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