Assessing Food Safety of Polymer Packaging

| The First Six Roots [*] ? n of ? tan ?=R | ||||||
|---|---|---|---|---|---|---|
| R | ? 1 | ? 2 | ? 3 | ? 4 | ? 5 | ? 6 |
| 0 | 0 | 3.1416 | 6.2832 | 9.4248 | 12.5664 | 15.7080 |
| 0.001 | 0.0316 | 3.1419 | 6.2833 | 9.4249 | 12.5665 | 15.7080 |
| 0.002 | 0.0447 | 3.1422 | 6.2835 | 9.1250 | 12.5665 | 15.7081 |
| 0.004 | 0.0632 | 3.1429 | 6.2338 | 9.4252 | 12.5667 | 15.7105 |
| 0.006 | 0.0774 | 3.1435 | 6.2841 | 9.4254 | 12.5668 | 15.7083 |
| 0.008 | 0.0803 | 3.1441 | 6.2845 | 9.4256 | 12.5670 | 15.7085 |
| 0.01 | 0.0998 | 3.1448 | 6.2848 | 9.4258 | 12.5672 | 15.7086 |
| 0.02 | 0.1410 | 3.1479 | 6.2864 | 9.4269 | 12.5680 | 15.7092 |
| 0.04 | 0.1087 | 3.1543 | 6.2895 | 9.1290 | 12.5696 | 15.7105 |
| 0.06 | 0.2125 | 3.1606 | 6.2927 | 9.4311 | 12.5711 | 15.7118 |
| 0.08 | 0.2791 | 3.1668 | 6.2959 | 9.4333 | 12.5727 | 15.7131 |
| 0.1 | 0.3111 | 3.1731 | 6.2901 | 9.4354 | 12.5743 | 15.7143 |
| 0.2 | 0.4328 | 3.2039 | 6.3148 | 9.4459 | 12.5823 | 15.7207 |
| 0.3 | 0.5218 | 3.2311 | 6.3305 | 9.4565 | 12.5902 | 15.72711 |
| 0.4 | 0.5932 | 3.2636 | 6.3161 | 9.4670 | 12.5981 | 15.7334 |
| 0.5 | 0.6033 | 3.2923 | 6.3616 | 9.4775 | 12.0060 | 15.7397 |
| 0.6 | 0.7051 | 3.3204 | 6.3770 | 9.4879 | 12.6139 | 15.7460 |
| 0.7 | 0.7506 | 3.3477 | 6.3923 | 9.4983 | 12.6218 | 15.7524 |
| 0.8 | 0.7910 | 3.3744 | 6.4074 | 9.5087 | 12.6296 | 15.7587 |
| 0.9 | 0.8274 | 3.4003 | 6.4224 | 9.5190 | 12.6375 | 15.7650 |
| 1.0 | 0.8603 | 3.4256 | 6.4373 | 9.5293 | 12.6453 | 15.7713 |
| 1.5 | 0.9882 | 3.5422 | 6.5097 | 9.5801 | 12.6841 | 15.8026 |
| 2.0 | 1.0769 | 3.6430 | 6.5783 | 9.6296 | 12.7223 | 15.8336 |
| 3.0 | 1.1925 | 3.8088 | 6.7040 | 9.7240 | 12.7966 | 15.8945 |
| 4.0 | 1.2646 | 3.9352 | 6.8110 | 9.8119 | 12.8678 | 15.9536 |
| 5.0 | 1.3138 | 4.0336 | 6.9096 | 9.8928 | 12.9352 | 16.0107 |
| 6.0 | 1.3496 | 4.1116 | 6.9924 | 9.9667 | 12.9988 | 16.0654 |
| 7.0 | 1.3766 | 4.1746 | 7.0640 | 10.0339 | 13.0584 | 16.1177 |
| 8.0 | 1.3978 | 4.2264 | 7.1263 | 10.0949 | 13.1141 | 16.1675 |
| 9.0 | 1.4149 | 4.2694 | 7.1806 | 10.1502 | 13.1660 | 16.2147 |
| 10.0 | 1.4289 | 4.3058 | 7.2281 | 10.2003 | 13.2142 | 16.2594 |
| 15.0 | 1.4729 | 4.4255 | 7.3959 | 10.3898 | 13.4078 |