Example: 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)a, + x²ya.C/m² at PA(2, 3, –1); (b) D = 2pz² sin² ø a, + pz² sin 2¢ as + 2p²z sin² ø a̟C/m² at PB(p = 2, ¢ = 110°, z = –1); (c) D = 2r sin 0 cos ø a, +r cos 0 cos o ag – r sin o a, C/m² at Pc(r = 1.5, 0 = 30°, Ø = 50°). Ans. –10.00; 9.06; 1.29 ***do b and c as your activity for this topic

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Example:
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)a, + x²ya.C/m² at
PA(2, 3, –1); (b) D = 2pz² sin² ø a, + pz² sin 2¢ as + 2p²z sin² ø a̟C/m² at
PB(p = 2, ¢ = 110°, z = –1); (c) D = 2r sin 0 cos ø a, +r cos 0 cos o ag –
r sin o a, C/m² at Pc(r = 1.5, 0 = 30°, Ø = 50°).
Ans. –10.00; 9.06; 1.29
***do b and c as your activity for this topic
Transcribed Image Text:Example: 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)a, + x²ya.C/m² at PA(2, 3, –1); (b) D = 2pz² sin² ø a, + pz² sin 2¢ as + 2p²z sin² ø a̟C/m² at PB(p = 2, ¢ = 110°, z = –1); (c) D = 2r sin 0 cos ø a, +r cos 0 cos o ag – r sin o a, C/m² at Pc(r = 1.5, 0 = 30°, Ø = 50°). Ans. –10.00; 9.06; 1.29 ***do b and c as your activity for this topic
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