Divergence Theorem: Problem 4 Previous Problem Problem List Next Problenm (1 point) Evaluate JM F dS where F (3ay2,3a^y, z3) and M is the surface of the sphere of radius 2 centered at the origin....
Homework 22: Problem 4 Previous Problem Problem List Next Problem (1 point) Use the Divergence Theorem to calculate the flux of F across S, where F coordinate planes and the plane zi + yj + zak and S is the surface of the tetrahedron enclosed by the + = 1 SIF. ds
Help Entering Answers (1 point) Use the Divergence Theorem to evaluate F . dS where F =くz2xHFz, y + 2 tan(2), X22-1 and S is the top half of the sphere x2 +y2 25 Hint: S is not a closed surface. First compute integrals over S and S2, where Si is the disk x2 +y s 25, z 0 oriented downward and s,-sus, F-ds, = 滋 dy dx F.dS2 = S2 where X1 = 리= Z2 = IE F-ds, =...
Hw34-16.9-The-Divergence-Theorem: Problem 5 Problem Value: 1 point(s). Problem Score: 0%. Attempts Remaining: 25 attempts. Help Entering Answers (1 point) Use the Divergence Theorem to calculate the outward filux of F = (z3 +y%, y3+ 23, 23 + 23) across S: the surface of the sphere centered at the origin with radius 4. 22 E dz dy dz Flux of F across S= where 21 = 21 = y1 = Σ Σ Σ 12 = Y2 = 22 = Flux of...
15. Use the Divergence Theorem to evaluate the surface integral F dS triple iterated integral where as a F= (-2rz 2yz, -ry,-xy 2rz - yz) and E is boundary of the rectangular box given by -1< x< 3, -1<y< 3 and z2 1 15. Use the Divergence Theorem to evaluate the surface integral F dS triple iterated integral where as a F= (-2rz 2yz, -ry,-xy 2rz - yz) and E is boundary of the rectangular box given by -1
Problem 15 (1 point) Use the divergence theorem to evaluate Is F N dS 2, บะ2,22).and N is the the unit outward normal to the surface Sgiven by z2 + y2trs where F-(r A.I 35 C. 1 = 35 (8)π Problem 15 (1 point) Use the divergence theorem to evaluate Is F N dS 2, บะ2,22).and N is the the unit outward normal to the surface Sgiven by z2 + y2trs where F-(r A.I 35 C. 1 = 35 (8)π
(,y,) dS, where f(,y,) = z'yz2 and S is the part ys 4 1. Parametrize, but do not evaluate, +y of the graph of z over the rectangle -2 S rs3 and 0 2. Parametrize, but do not evaluate, F.n dS, where F (y,-r,z) and S is the sphere of radius 2 centered at the origin. Math 224 3. Calculate le ayz dS where S is the part of the cone parametrized by 0sus1,0svs r(u, v)(ucos v, usin v, u),...
Provide correct answer Use the Divergence Theorem to evaluate //F. ds where F = (4x", 4y?, 17) and S is the sphere x² + y2 + z = 25 oriented by the outward normal. The surface integral equals
17.2 Stokes Theorem: Problem 2 Previous Problem Problem List Next Problem (1 point) Verify Stokes' Theorem for the given vector field and surface, oriented with an upward-pointing normal: F (ell,0,0), the square with vertices (8,0, 4), (8,8,4),(0,8,4), and (0,0,4). ScFids 8(e^(4) -en-4) SIs curl(F). ds 8(e^(4) -e^-4) 17.2 Stokes Theorem: Problem 1 Previous Problem Problem List Next Problem (1 point) Let F =< 2xy, x, y+z > Compute the flux of curl(F) through the surface z = 61 upward-pointing normal....
Use the Divergence Theorem to evaluate ∬SF⋅dS∬SF⋅dS where F=〈z2x,y33+3tan(z),x2z−1〉F=〈z2x,y33+3tan(z),x2z−1〉 and SS is the top half of the sphere x2+y2+z2=9x2+y2+z2=9. (1 point) Use the Divergence Theorem to evaluate FdS where F2x +3 tan2).^z-1 and S is the top half of the sphere x2 +y2 + z2 -9 Hint: S is not a closed surface. First compute integrals overs, and S2 , where S, is the disk x2 + y2 < 9, z = 0 oriented downward and S2 = S U...
I got stucked in there (2nd photo) 12. Evaluate the surface integral IK 25-x'-y2 dS where S is the hemisphere centered at the origin with radius 5, for z20. 2) Evaluate the centered at the onqin wth radius S, o 220 a1 5(25-x-yds where S Is The hemisphere Tn Polar form 2. 2. 2 V2S-T 12. Evaluate the surface integral IK 25-x'-y2 dS where S is the hemisphere centered at the origin with radius 5, for z20. 2) Evaluate the...