Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. F = (3xy + 2y2)i + (3x – 2y)j The outward flux is (Type an integer or a simplified fraction.) The counterclockwise circulation is (Type an integer or a simplified fraction.) (0,0) x=y² (1,1) C y=x²

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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Use Green's Theorem to find the counterclockwise
circulation and outward flux for the field F and curve C.
F=
(3xy + 2y2)i + (3x-2y)j
The outward flux is
(Type an integer or a simplified fraction.)
The counterclockwise circulation is.
(Type an integer or a simplified fraction.)
C
(0,0)
x=y²
(1,1)
C
y=x²
Transcribed Image Text:Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. F= (3xy + 2y2)i + (3x-2y)j The outward flux is (Type an integer or a simplified fraction.) The counterclockwise circulation is. (Type an integer or a simplified fraction.) C (0,0) x=y² (1,1) C y=x²
Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and curve C.
F= (4x + ex
+ ex siny)i + (5x + ex cos y) j
C: The right-hand loop of the lemniscate r² = cos 20
Describe the given region using polar coordinates. Choose 0-values between - and .
SOS
≤rs √cos (20)
(Type exact answers.)
The outward flux is
(Type an integer or a simplified fraction.)
The counter kwise circulation is.
(Type an integer or a simplified fraction.)
Transcribed Image Text:Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. F= (4x + ex + ex siny)i + (5x + ex cos y) j C: The right-hand loop of the lemniscate r² = cos 20 Describe the given region using polar coordinates. Choose 0-values between - and . SOS ≤rs √cos (20) (Type exact answers.) The outward flux is (Type an integer or a simplified fraction.) The counter kwise circulation is. (Type an integer or a simplified fraction.)
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