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

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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 – y)a, + (x²z – 2xy)ay + x²ya.C/m² at
PA(2, 3, –1); (b) D = 2pz? sin? o a, + pz? sin 20 ag + 2p²z sin? o a.C/m? at
PB(p = 2, 6 = 110°, z = -1); (c) D = 2r sin 0 cos p a, +r cos 0 cos o ae
r sinø a, C/m at Pc(r = 1.5, 0 = 30°, o = 50°).
|
Ans. -10.00; 9.06; 1.29
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 – y)a, + (x²z – 2xy)ay + x²ya.C/m² at PA(2, 3, –1); (b) D = 2pz? sin? o a, + pz? sin 20 ag + 2p²z sin? o a.C/m? at PB(p = 2, 6 = 110°, z = -1); (c) D = 2r sin 0 cos p a, +r cos 0 cos o ae r sinø a, C/m at Pc(r = 1.5, 0 = 30°, o = 50°). | Ans. -10.00; 9.06; 1.29
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