1) Prove Green's Theorem for F = 3xy'i - 4xj around the curve C bounded %3D 160 by y = 2x and y = 4x. Ans = 3 2)Verify Green's Theorem for F = (y',6xy?) around the curve C bounded 64 by x = 4 and Vx = y. Ans 5 %3D 3)Evaluate F.dr where C is the circle x' + y? = 4 transversed counterclockw ise, F = (-y, xr).Ans 87 %3D %3D 4)Evaluate F.dr where C is around the curve C bounded by y = and y = x transversed counterclockwise, F = (y²,x² ).Ans = 15
1) Prove Green's Theorem for F = 3xy'i - 4xj around the curve C bounded %3D 160 by y = 2x and y = 4x. Ans = 3 2)Verify Green's Theorem for F = (y',6xy?) around the curve C bounded 64 by x = 4 and Vx = y. Ans 5 %3D 3)Evaluate F.dr where C is the circle x' + y? = 4 transversed counterclockw ise, F = (-y, xr).Ans 87 %3D %3D 4)Evaluate F.dr where C is around the curve C bounded by y = and y = x transversed counterclockwise, F = (y²,x² ).Ans = 15
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...
Related questions
Question
![1) Prove Green's Theorem for F = 3xy'i - 4xj around the curve C bounded
160
by y = 2x and y = 4x. Ans =
3
2)Verify Green's Theorem for F = (y',6xy2) around the curve C bounded
64
4 and Vx
y. Ans
5
by x
3)Evaluate F.dr where C is the circle x' + y? = 4 transversed
counterclockw ise, F = (-y, xr).Ans = 87
%3D
%3D
4)Evaluate F.dr where C is around the curve C bounded by y =
and y = x transversed counterclockwise, F = (y',x² ).Ans
15](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda0ca60c-9154-40bd-8129-44799fabb558%2F62994012-fd70-40fd-a0c6-2005e49f6b68%2Fvb403gn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1) Prove Green's Theorem for F = 3xy'i - 4xj around the curve C bounded
160
by y = 2x and y = 4x. Ans =
3
2)Verify Green's Theorem for F = (y',6xy2) around the curve C bounded
64
4 and Vx
y. Ans
5
by x
3)Evaluate F.dr where C is the circle x' + y? = 4 transversed
counterclockw ise, F = (-y, xr).Ans = 87
%3D
%3D
4)Evaluate F.dr where C is around the curve C bounded by y =
and y = x transversed counterclockwise, F = (y',x² ).Ans
15
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