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
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
Problem 39RE
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