Question

Test: Final Exam Review 34 of 44 (0 complete) This Question: 1 pt Find the potential function f for the field F. F=2xe +yi+2ye+yj ex2.y2 O A. f(xy,z)2 +C O B. fxyz) 2ey +C OC. fixy.z)ete +C O D. fixyz)= ey+C Test: Final Exam Review This Question: 1 pt 35 of 44 (0 complete) Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. F=xyi+xj.C is the triangle with vertices at (0,0), (2,0), and (0,2) OA. 0 OB 10 2 O C. 3 4 OD. S ABIM U Malii 2 rome Test: Final Exam Review This Question: 1 pt 36 of 44 (0 complete) Using Green's Theorem, find the outward flux of F across the closed curve C F=(+X-yl:Cis the rectangle with vertices at (0,0). (5,0), (5,6), and (0,6) OA 120 OB. 210 OC 180 OD. -150 Cock to select your anser Test: Final Exam Review This Question: 1 pt 37 of 44 (0 complete) Using Green's Theorem, find the outward flux of F across the closed curve C F=xyi+xj. C is the triangle with vertices at (0,0), (2,0), and (0,10) OA, 100 3 O B. 0 10 O C. 3 50 O D. 3 This Question: 1 pt A 38 of 44 (0 complete) Find the divergence of the field F. yj-zk F= ( 1/2 + 2-y O A. (+2)2 O B. 0 3/2 y2-22 O C. (+2)372 3(2+2) O D. ()972 3/2

Answer 1

2ay2 2 xe ety2 dye A'lg)=0 Ay-C R'ly RA ENGINE Answe C 2) Edi 1a-1) -/ ) dA C 2-y 7=647 (z-)2-y dy 2 dy -I

-2 11 Any we is C S 2 -2)ddy F.dr RA GIR --5dy RSET AJAGIRI SCHOOL OF JEERING & TECHNOLOGY+30 yl 081 ol -2)8

F = (yifzi% x diuF y2t /2 2 Cgotz