Suppose F = (5x - 5y)i + (x + 5y)j. Use Stokes' Theorem to make the following circulation calculations. (a) Find the circulation of Faround the circle C of radius 3 centered at the origin in the xy-plane, oriented clockwise as viewed from the positive z-axis. Circulation • √ F + d² = [ F.dr (b) Find the circulation of around the circle C of radius 3 centered at the origin in the yz-plane, oriented clockwise as viewed from the positive x-axis. Circulation = · [ F · dř = [

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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Suppose F
(5x − 5y)i + (x + 5y)j. Use Stokes'
Theorem to make the following circulation calculations.
=
(a) Find the circulation of around the circle C of
radius 3 centered at the origin in the xy-plane, oriented
clockwise as viewed from the positive z-axis.
Circulation:
F. dr
- [ =
=
C
(b) Find the circulation of around the circle C of
radius 3 centered at the origin in the yz-plane, oriented
clockwise as viewed from the positive x-axis.
6.² F. dr =
C
Circulation =
Transcribed Image Text:Suppose F (5x − 5y)i + (x + 5y)j. Use Stokes' Theorem to make the following circulation calculations. = (a) Find the circulation of around the circle C of radius 3 centered at the origin in the xy-plane, oriented clockwise as viewed from the positive z-axis. Circulation: F. dr - [ = = C (b) Find the circulation of around the circle C of radius 3 centered at the origin in the yz-plane, oriented clockwise as viewed from the positive x-axis. 6.² F. dr = C Circulation =
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