Hw34-16.9-The-Divergence-Theorem: Problem 5 Problem Value: 1 point(s). Problem Score: 0%. Attempts Remaining: 25 attempts. Help Entering...
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.
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.
(1 point) This problem will illustrate the divergence theorem by computing the outward flux of the vector field F(x, y, z) -2ri + 5yj + 2k across the boundary of the right rectangular prism:-1< x< 7, -4
(1 point) This problem will illustrate the divergence theorem by computing the outward flux of the vector field F x, y, z = 2ī + 4j + k across the boundary of the right rectangular prism: 1 sx <5,-2 Sys3,-33z37 oriented outwards using a surface integral and a triple integral over the solid bounded by rectangular prism. Note: The vectors in this field point outwards from the origin, so we would expect the flux across each face of the prism...
(1 point) Verify that the Divergence Theorem is true for the vector field F = 3x´i + 3xyj + 2zk and the region E the solid bounded by the paraboloid z = 9 - x2 - y2 and the xy-plane. To verify the Divergence Theorem we will compute the expression on each side. First compute div F dV JE div F= Waive av = f II Σ dz dy dx where zi = MM y1 = y2 = MM мм...
(1 point) This problem will illustrate the divergence theorem by computing the outward flux of the vector field F(x, y, z) - 2ri + 5y + 3-k across the boundary of the right rectangular prism: -3 <<6, -15y<3,-425 oriented outwards using a surface integral and a triple integral over the solid bounded by rectangular prism. Note: The vectors in this field point outwards from the origin, so we would expect the flux across each face of the prism to be...
(1 point) This problem will illustrate the divergence theorem by computing the outward flux of the vector field F(x, y, z) = Aci+ 4y + tek across the boundary of the right rectangular prism: -ISXS 4.-2 Sys7.-2 Szs 7 criented outwards using a surface Integral and a triple integral over the solid bounded by rectangular prism. Note: The vectors in this field point outwards from the origin, so we would expect the flux across each face of the prism to...
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, =...
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
(1 point) Verify that the Divergence Theorem is true for the vector field F-3z2ì + 3z30-22k and the region E the solid bounded by the paraboloid z = 16 z2 y2 and the zy-plane To verify the Divergence Theorem we will compute the expression on each side. First compute div F dV div F div F dV- dz dy dr where div F dV- Now compute F dS Consider S- PU Dwhere P is the paraboloid and D is the...
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...