4. (a) Verify the divergence theorem in the plane for F = ryi + (2x - y)j and C is the triangle with vertices at (0,0), (1,0) and (0, 1). (b) Find the circulation of F around the curve C above. (c) If = (velocity), give physical interpretations of funds and § v · dÃ. Yel x-1-P DIVERGENCE THEOREM IN THE PLANE [ @-ཟླ་ཚེ I = Pe тр 15750 x 13 NO --7-7-(73) + 25 da " -1 I a- P. do хр Pt ON C₂ = 1-6 : 10 (1-70)+1(7-7)-2 TO FIND A WRITT THE EQUATION OF GAS 347-100 *-' (+1-1) эр NOTING FROM THE DIAGRAM THAT I WAS PERITIVN COMPONENTS ALONG THE ↑ AND DIRECTIONS 1-75-371-75 21 1(1-P+x) A|| ---1 √2 ()()(), =1+1-2 √(RICS) NOTING THAT AS E DECEASE ON COWLREases. + [c!}@k+++}¥][+ ་མོ་ USING do de di ALTERNATIVELY 9 Сли Parametrize, Co. At ostsi F= (1+0)+(-36+) { de AS UNDER THIS PARAMETRIZATION + 沅 A INCREASES 31 プ ON C₂, x=0, J=t, 16-00 (P24-0 JOR -- A=-1, PAO MENCE Ftom C- WE HAVE a6 Ap→ +-1- v2+ WHICH VERIFIES THE DIF TAM

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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help me clean out this problem nicely with nice solution please . There is the answer attached

4. (a) Verify the divergence theorem in the plane for F = ryi + (2x - y)j and C is the triangle with vertices
at (0,0), (1,0) and (0, 1).
(b) Find the circulation of F around the curve C above.
(c) If = (velocity), give physical interpretations of funds and § v · dÃ.
Transcribed Image Text:4. (a) Verify the divergence theorem in the plane for F = ryi + (2x - y)j and C is the triangle with vertices at (0,0), (1,0) and (0, 1). (b) Find the circulation of F around the curve C above. (c) If = (velocity), give physical interpretations of funds and § v · dÃ.
Yel
x-1-P
DIVERGENCE THEOREM IN THE
PLANE
[
@-ཟླ་ཚེ
I
=
Pe
тр
15750 x 13 NO
--7-7-(73)
+
25
da
"
-1
I
a-
P. do
хр
Pt
ON C₂ = 1-6 : 10
(1-70)+1(7-7)-2
TO FIND A WRITT THE EQUATION OF GAS 347-100
*-' (+1-1)
эр
NOTING FROM THE DIAGRAM THAT I WAS PERITIVN
COMPONENTS ALONG THE ↑ AND DIRECTIONS
1-75-371-75
21
1(1-P+x) A||
---1
√2
()()(),
=1+1-2
√(RICS) NOTING THAT AS E DECEASE
ON COWLREases.
+ [c!}@k+++}¥][+ ་མོ་
USING do de di
ALTERNATIVELY
9
Сли Parametrize, Co. At ostsi
F= (1+0)+(-36+) {
de
AS UNDER THIS
PARAMETRIZATION
+
沅
A INCREASES
31
プ
ON C₂, x=0, J=t, 16-00
(P24-0
JOR
--
A=-1,
PAO
MENCE
Ftom C- WE HAVE
a6 Ap→ +-1- v2+
WHICH VERIFIES THE
DIF TAM
Transcribed Image Text:Yel x-1-P DIVERGENCE THEOREM IN THE PLANE [ @-ཟླ་ཚེ I = Pe тр 15750 x 13 NO --7-7-(73) + 25 da " -1 I a- P. do хр Pt ON C₂ = 1-6 : 10 (1-70)+1(7-7)-2 TO FIND A WRITT THE EQUATION OF GAS 347-100 *-' (+1-1) эр NOTING FROM THE DIAGRAM THAT I WAS PERITIVN COMPONENTS ALONG THE ↑ AND DIRECTIONS 1-75-371-75 21 1(1-P+x) A|| ---1 √2 ()()(), =1+1-2 √(RICS) NOTING THAT AS E DECEASE ON COWLREases. + [c!}@k+++}¥][+ ་མོ་ USING do de di ALTERNATIVELY 9 Сли Parametrize, Co. At ostsi F= (1+0)+(-36+) { de AS UNDER THIS PARAMETRIZATION + 沅 A INCREASES 31 プ ON C₂, x=0, J=t, 16-00 (P24-0 JOR -- A=-1, PAO MENCE Ftom C- WE HAVE a6 Ap→ +-1- v2+ WHICH VERIFIES THE DIF TAM
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