Page 171 - Essentials of applied mathematics for scientists and engineers

book Mobk070 March 22, 2007 11:7

APPENDIX A: THE ROOTS OF CERTAIN TRANSCENDENTAL EQUATIONS 161

TABLE A.2: The first six roots, † α n ,of

α cotα + C = 0.
C α 1 α 2 α 3 C α 1 α 2
−1.0 0 4.4934 7.7253 10.9041 14.0662 17.2208
−0.995 0.1224 4.4945 7.7259 10.9046 14.0666 17.2210

−0.99 0.1730 4.4956 7.7265 10.9050 14.0669 17.2213
−0.98 0.2445 4.4979 7.7278 10.9060 14.0676 17.2219
−0.97 0.2991 4.5001 7.7291 10.9069 14.0683 17.2225
−0.96 0.3450 4.5023 7.7304 10.9078 14.0690 17.2231
−0.95 0.3854 4.5045 7.7317 10.9087 14.0697 17.2237

−0.94 0.4217 4.5068 7.7330 10.9096 14.0705 17.2242
−0.93 0.4551 4.5090 7.7343 10.9105 14.0712 17.2248
−0.92 0.4860 4.5112 7.7356 10.9115 14.0719 17.2254

−0.91 0.5150 4.5134 7.7369 10.9124 14.0726 17.2260
−0.90 0.5423 4.5157 7.7382 10.9133 14.0733 17.2266
−0.85 0.6609 4.5268 7.7447 10.9179 14.0769 17.2295
−0.8 0.7593 4.5379 7.7511 10.9225 14.0804 17.2324
−0.7 0.9208 4.5601 7.7641 10.9316 14.0875 17.2382

−0.6 1.0528 4.5822 7.7770 10.9408 14.0946 17.2440
−0.5 J.l656 4.6042 7.7899 10.9499 14.1017 17.2498
−0.4 1.2644 4.6261 7.8028 10.9591 14.1088 17.2556

−0.3 1.3525 4.6479 7.8156 10.9682 14.1159 17.2614
−0.2 1.4320 4.6696 7.8284 10.9774 14.1230 17.2672
−0.1 1.5044 4.6911 7.8412 10.9865 14.1301 17.2730
0 1.5708 4.7124 7.8540 10.9956 14.1372 17.2788
0.1 1.6320 4.7335 7.8667 11.0047 14.1443 17.2845

0.2 1.6887 4.7544 7.8794 11.0137 14.1513 17.2903
0.3 1.7414 4.7751 7.8920 11.0228 14.1584 17.2961
0.4 1.7906 4.7956 7.9046 11.0318 14.1654 17.3019