4 The flux of the curl of the vector field F(x, y, z): = xy+ e¯y², xz- zexy², xyz), (x, y, z) = R3 through the surface S = {(x, y, z) = R³ : (x+3)² + y²+ z² = 27, x>0} oriented such that its normal vector has a positive second component, equals: (A) -27π (B) 0 (C) 18π (D) 27π

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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4 The flux of the curl of the vector field F(x, y, z):
=
xy+ e¯y², xz-
zexy², xyz), (x, y, z) =
R3 through the surface S = {(x, y, z) = R³ : (x+3)² + y²+ z² = 27, x>0} oriented such
that its normal vector has a positive second component, equals:
(A) -27π
(B) 0
(C) 18π
(D) 27π
Transcribed Image Text:4 The flux of the curl of the vector field F(x, y, z): = xy+ e¯y², xz- zexy², xyz), (x, y, z) = R3 through the surface S = {(x, y, z) = R³ : (x+3)² + y²+ z² = 27, x>0} oriented such that its normal vector has a positive second component, equals: (A) -27π (B) 0 (C) 18π (D) 27π
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