D3.7. In each of the following parts, find a numerical value for div D at the point specified: (a) D = (2xyz – y³)a, + (x²z – 2xy)ay + x²ya.C/m² at PA(2, 3, –1); (b) D = 2pz² sin² ø a, + pz² sin 2p as + 2p²z sin² ¢ a¸C/m² at PB(p = 2, 6 = 110°, z = –1); (c) D = 2r sin0 cos o a, +r cos 0 cos o ag r sinø a, C/m² at Pc(r = 1.5, 0 = 30°, ø = 50°). | 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 – y²)ax + (x²z – 2xry)ay + x?ya.C/m² at
PA(2, 3, –1); (b) D = 2pz? sin² o a, + pz? sin 20 ag + 2p²z sin² ¢ a̟C/m² at
PB(p = 2, 6 = 110°, z = -1); (c) D = 2r sin 0 cos o a, +r cos e cos o a, –
r sino a, C/m? at Pc(r = 1.5, 0 = 30°, o = 50°).
pas
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 – y²)ax + (x²z – 2xry)ay + x?ya.C/m² at PA(2, 3, –1); (b) D = 2pz? sin² o a, + pz? sin 20 ag + 2p²z sin² ¢ a̟C/m² at PB(p = 2, 6 = 110°, z = -1); (c) D = 2r sin 0 cos o a, +r cos e cos o a, – r sino a, C/m? at Pc(r = 1.5, 0 = 30°, o = 50°). pas Ans. -10.00; 9.06; 1.29
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