D3.7. In each of the following parts, find a numerical value for div D at the point specified: (a) D = (2ryz - y²)a, + (xz- 2xy)a, + xya.C/m2 at PA(2, 3, -1); (b) D= 2pz? sin? o a, + pz? sin 20 a + 2p?z sin o a.C/m? at PB(p = 2, 0 = 110°, z = -1); (c) D = 2r sin 0 cos o a, +r cos e cos o ag - r sin o a, C/m at Pc(r = 1.5, 0 = 30°, o = 50°). %3D %3D %3D %3D Ans. -10.00; 9.06; 1.29
D3.7. In each of the following parts, find a numerical value for div D at the point specified: (a) D = (2ryz - y²)a, + (xz- 2xy)a, + xya.C/m2 at PA(2, 3, -1); (b) D= 2pz? sin? o a, + pz? sin 20 a + 2p?z sin o a.C/m? at PB(p = 2, 0 = 110°, z = -1); (c) D = 2r sin 0 cos o a, +r cos e cos o ag - r sin o a, C/m at Pc(r = 1.5, 0 = 30°, o = 50°). %3D %3D %3D %3D Ans. -10.00; 9.06; 1.29
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Transcribed Image Text:D3.7. In each of the following parts, find a numerical value for div D at the
point specified: (a) D = (2ryz - y?)a, + (x²z- 2xy)a, + x2ya.C/m2 at
PA(2, 3, -1); (b) D = 2pz? sin o a, + pz? sin 20 a, + 2p2z sin? o a.C/m? at
PB(p = 2, 6 = 110°, z = -1); (c) D 2r sin 0 cos o a, +r cos 6 cos o a-
r sin o a, C/m at Pc(r = 1.5, 0 30°, o = 50°).
%3D
%3D
Ans. -10.00; 9.06; 1.29
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