c) Evaluate . F dř using Stoke's theorem where C is the boundary curve of the surface z = x² + y² below z = 4, oriented clockwise when viewed from open %3D the top z-axis (i.e., downward) and F = (x²,y* – x, z² sin (z)). %3D

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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c) Evaluate S. F · dř using Stoke's theorem where C is the boundary curve of
the
surface z = x² + y² below z = 4, oriented clockwise when viewed from
open
%3D
the top z-axis (i.e., downward) and F = (x²,y* – x,z² sin (z)).
%3D
Transcribed Image Text:c) Evaluate S. F · dř using Stoke's theorem where C is the boundary curve of the surface z = x² + y² below z = 4, oriented clockwise when viewed from open %3D the top z-axis (i.e., downward) and F = (x²,y* – x,z² sin (z)). %3D
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