Calculate the divergence of the following fields: 1. A = Êx? + û 1 – Ży2....
#7, #11, #17 please
Calculating the Curl and the Divergence In Exercises 1-20, calculate curl F and divF of the given vector fields F. F = 1 1. F= (°yz?, xyz, wy) 2. F= (x+y23, xyz2, xz) 3. F= (zey, well, ye**) 4. F = (xeyz, zety, ye** ) 5. F= (xsin yz, y sin xz, zsin zy) 6. F = (y sin uz, e sinyz, 2 sinxy) 7, F = (sin x cos z, sin y cos x, sin...
vector Problem #5: Use the divergence theorem to find the outward fly SfF:nds of the field F = tan-1(10y + 3z) i + e sxj + 1x2 + y2 + z2 k, where S is the surface of the region bounded by the graphs of z = Vx2 + y2 and x2 + y2 + z2 = 49. ,z2 + 3 cos x + Problem #5: Enter your answer symbolically, as in these examples
For each of the following vector fields, find its curl and
determine if it is a gradient field.
(1 point) For each of the following vector fields, find its curl and determine if it is a gradient field. (a) F = 5(xy + 22) + 10(x2 + y2) 7+ 10(x2 + y2) k. curl F = F ? (b) Ğ = 5yzi + (52z+z2) 7+ (5xy + 2yz) k: curl Ĝ = Ğ ? (c) H = (5xy + yz)...
(1)Calculate the scalar curl of the vector field.
F(x, y) = sin(x)i + 6 cos(x)j
(2)
Let F(x, y, z) = (2exz, 3 sin(xy),
x7y2z6).
(a) Find the divergence of F.
(b)Find the curl of F.
-/3 points v MARSVECTORCALC6 4.4.017. My Notes Ask You Calculate the scalar curl of the vector field. F(x, y) = sin(x)i + 6 cos(x)j -/8 points v MARSVECTORCALC6 4.4.023. My Notes Ask You Let F(x, y, z) = (2x2, 3 sin(xy), x?y2z6). (a) Find...
1. Calculate the surface area of = Vx2 + y2 that lies between the plane (a) that part of the cone yx and the cylinder y = x2 (b) that part of the surface 1 + 3x +2y2 that lies above the triangle with vertices (0,0), (0,1) and (2,1) z= (c) the helicoid (spiral ramp) defined by r(u, v)= u cos vi +usin vj-+ vk, 0u 1,0 < v < T
1. Calculate the surface area of = Vx2 +...
1. Find the divergence, curl and Laplacian of the following vector fields (a) E = psin o Ô-p?Ộ - zk, where p, 0, z are cylindrical coordinates. (b) F = sin O † – rsin e ôn, where r, 0, $ are spherical coordinates.
3 Cual es magnitud de E debido a Q1-38 nC r1( x1-1, y1-3, z1-3) y Q2-47_nC r1( x2-3, y2-5, z2-1 ) en el origen (0,0,0) A) 45.81 N/C B) 24.98 NIC C) 35.18 NIC D) 51.02 NIC r (x1,y1,z1) Q2 r2 (x2,y2,z2) 0 (0,0,0)
1 Use the Divergence Theorem to compute the flux of the field y 5yz, arctan X COS s(y2)) out of the region E that lies between the spheres (x2 + z2 x2 + z x² + y² + 2² 25 and x2 + y2 + z 81 in the first octant.
(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. What is the crystal field stabilisation energy (CFSE) of a d5 metal ion in an octahedral ligand field surrounded by weak field ligands? +5Dq -20Dq 0Dq -5Dq -20Dq + P 2. The relative ordering of the d orbital energy levels for a complex such as [Cu(H2O)6]2+ which exhibits tetragonal elongation due to the Jahn-Teller Effect is: Group of answer choices xz = yz = xy < x2-y2 = z2 xy < xz = yz < x2-y2 < z2 xz...