D3.7. In each of the following parts, find a numerical value for div D at the point specified: (a) D = (2xyz - y?)a, + (xz 2xy)a, + x²ya.C/m² at PA(2, 3, -1); (b) D = 2pz? sin? oa, + pz? sin 2ø a, + 2p?z sin? oa.C/m2 at PB(p = 2, 6 = 110°, z = -1); (c) D r sin o a, C/m? at Pc(r = 1.5, 0 = 30°, o = 50°). %3D | %3D = 2r sin 6 cos oa, +r cos 0 cos o ae %3D %3D %3D %3D

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D3.7. In each of the following parts, find a numerical value for div D at the
point specified: (a) D = (2xyz - y² )a, + (xz 2xy)a, + x²ya.C/m² at
PA(2, 3, -1); (b) D = 2pz2 sin? oa, + pz? sin 20 as +2p²z sin? o a.C/m² at
PB(p = 2, 6 = 110°, z = -1); (c) D = 2r sin e cos oa, +r cos 0 cos o ag –
r sin o a, C/m? at Pc(r = 1.5, 0 = 30°, o = 50°).
%3D
|
%3D
%3D
%3D
%3D
%3D
Transcribed Image Text:D3.7. In each of the following parts, find a numerical value for div D at the point specified: (a) D = (2xyz - y² )a, + (xz 2xy)a, + x²ya.C/m² at PA(2, 3, -1); (b) D = 2pz2 sin? oa, + pz? sin 20 as +2p²z sin? o a.C/m² at PB(p = 2, 6 = 110°, z = -1); (c) D = 2r sin e cos oa, +r cos 0 cos o ag – r sin o a, C/m? at Pc(r = 1.5, 0 = 30°, o = 50°). %3D | %3D %3D %3D %3D %3D
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