Problem 4
| Time(s) | Temperature (C) |
| 0 | 24.30 | 5.1687896568 |
| 0.1 | 21.62 | 5.1839135949 |
| 0.2 | 22.45 | 5.1792304717 |
| 0.3 | 24.09 | 5.1699985027 |
| 0.4 | 22.25 | 5.1803683818 |
| 0.5 | 29.26 | 5.1401683157 |
| 0.6 | 38.93 | 5.0818491895 |
| 0.7 | 43.34 | 5.0540845137 |
| 0.8 | 52.37 | 4.9946759881 |
| 0.9 | 57.88 | 4.9566786532 |
| 1 | 64.14 | 4.9116514245 |
| 1.1 | 69.74 | 4.8695206901 |
| 1.2 | 75.24 | 4.8264273065 |
| 1.3 | 79.88 | 4.7885297369 |
| 1.4 | 86.13 | 4.7350255441 |
| 1.5 | 89.91 | 4.701257648 |
| 1.6 | 95.11 | 4.6528820428 | | -0.4317 |
| 1.7 | 99.09 | 4.6142606054 | | -2.3164234422 | | 1.6666666667 |
| 1.8 | 103.09 | 4.5738117395 | | -6.9492703266 |
| 1.9 | 107.14 | 4.5311304866 |
| 2 | 112.45 | 4.4721596145 |
| 2.1 | 114.80 | 4.4450484809 |
| 2.2 | 118.72 | 4.397850481 |
| 2.3 | 123.02 | 4.3434860805 |
| 2.4 | 124.97 | 4.3178995821 |
| 2.5 | 127.81 | 4.2792658251 |
| 2.6 | 131.32 | 4.2294225158 |
| 2.7 | 136.16 | 4.1563383305 |
| 2.8 | 136.29 | 4.1543275997 |
| 2.9 | 141.71 | 4.0653478698 |
| 3 | 142.38 | 4.0538331127 |
| 3.1 | 144.73 | 4.0123114521 |
| 3.2 | 146.77 | 3.974656675 |
| 3.3 | 149.22 | 3.9275560909 |
| 3.4 | 152.88 | 3.8527800775 |
| 3.5 | 155.51 | 3.7951870164 |
| 3.6 | 154.86 | 3.8096649849 |
| 3.7 | 156.89 | 3.763837884 |
| 3.8 | 160.73 | 3.6705625674 |
| 3.9 | 160.48 | 3.6768321833 |
| 4 | 163.84 | 3.5878813147 |
| 4.1 | 163.25 | 3.6041510969 |
| 4.2 | 165.62 | 3.5375288255 |
| 4.3 | 167.50 | 3.4811053005 |
| 4.4 | 167.49 | 3.4815782175 |
| 4.5 | 170.34 | 3.3898145881 |
| 4.6 | 170.00 | 3.4011252429 |
| 4.7 | 172.19 | 3.3254360882 |
| 4.8 | 174.59 | 3.2349836012 |
| 4.9 | 175.65 | 3.1927139048 |
| 5 | 176.37 | 3.1625271997 |
| 5.1 | 175.77 | 3.1876914067 |
| 5.2 | 176.88 | 3.1405496341 |
| 5.3 | 180.29 | 2.9809465934 |
| 5.4 | 179.26 | 3.0320071912 |
| 5.5 | 181.21 | 2.9331954694 |
| 5.6 | 180.83 | 2.9532479527 |
| 5.7 | 183.13 | 2.8257159836 |
| 5.8 | 183.01 | 2.8328016175 |
| 5.9 | 182.69 | 2.8515202925 |
| 6 | 184.38 | 2.7484066383 |
| 6.1 | 184.36 | 2.7497659136 |
| 6.2 | 184.47 | 2.7428148615 |
| 6.3 | 184.98 | 2.709285015 |
| 6.4 | 188.23 | 2.465954398 |
| 6.5 | 186.98 | 2.5666347305 |
| 6.6 | 188.69 | 2.425510115 |
| 6.7 | 187.15 | 2.5531160737 |
| 6.8 | 189.56 | 2.3456057164 |
| 6.9 | 190.49 | 2.2522906499 |
| 7 | 191.45 | 2.1464983126 |
| 7.1 | 191.37 | 2.1546867946 |
| 7.2 | 189.50 | 2.3518331275 |
| 7.3 | 190.96 | 2.2016290205 |
| 7.4 | 191.50 | 2.1406436168 |
| 7.5 | 192.59 | 2.0034927446 |
| 7.6 | 191.89 | 2.0928140769 |
| 7.7 | 192.64 | 1.9962297577 |
| 7.8 | 192.49 | 2.0163681226 |
| 7.9 | 194.09 | 1.7761873814 |
| 8 | 193.26 | 1.908647469 |
| 8.1 | 195.06 |
| 8.2 | 193.18 |
| 8.3 | 194.61 |
| 8.4 | 193.55 |
| 8.5 | 194.61 |
| 8.6 | 195.41 |
| 8.7 | 195.05 |
| 8.8 | 196.75 |
| 8.9 | 196.54 |
| 9 | 197.03 |
| 9.1 | 196.37 |
| 9.2 | 194.96 |
| 9.3 | 195.28 |
| 9.4 | 196.06 |
| 9.5 | 197.30 |
| 9.6 | 195.44 |
| 9.7 | 197.95 |
| 9.8 | 197.05 |
| 9.9 | 197.60 |
| 10 | 196.96 |
| 10.1 | 197.03 |
| 10.2 | 198.32 |
| 10.3 | 196.86 |
| 10.4 | 198.27 |
| 10.5 | 198.22 |
| 10.6 | 197.95 |
| 10.7 | 197.29 |
| 10.8 | 199.17 |
| 10.9 | 197.82 |
| 11 | 198.16 |
| 11.1 | 198.89 |
| 11.2 | 198.80 |
| 11.3 | 197.35 |
| 11.4 | 199.67 |
| 11.5 | 198.22 |
| 11.6 | 199.98 |
| 11.7 | 198.64 |
| 11.8 | 199.30 |
| 11.9 | 198.42 |
| 12 | 198.59 |
| 12.1 | 197.57 |
| 12.2 | 199.52 |
| 12.3 | 198.86 |
| 12.4 | 197.91 |
| 12.5 | 198.83 |
| 12.6 | 199.67 |
| 12.7 | 198.96 |
| 12.8 | 200.66 |
| 12.9 | 199.28 |
| 13 | 200.65 |
| 13.1 | 199.10 |
| 13.2 | 198.64 |
| 13.3 | 199.63 |
| 13.4 | 199.42 |
| 13.5 | 199.01 |
| 13.6 | 200.79 |
| 13.7 | 200.17 |
| 13.8 | 200.95 |
| 13.9 | 200.52 |
| 14 | 200.84 |
| 14.1 | 199.74 |
| 14.2 | 198.40 |
| 14.3 | 200.54 |
| 14.4 | 200.77 |
| 14.5 | 200.14 |
| 14.6 | 201.00 |
| 14.7 | 199.40 |
| 14.8 | 198.67 |
| 14.9 | 200.88 |
| 15 | 198.72 |
| 15.1 | 199.85 |
| 15.2 | 200.82 |
| 15.3 | 199.26 |
| 15.4 | 199.98 |
| 15.5 | 201.20 |
| 15.6 | 198.33 |
| 15.7 | 200.95 |
| 15.8 | 198.69 |
| 15.9 | 198.90 |
| 16 | 200.92 |
| 16.1 | 198.54 |
| 16.2 | 199.56 |
| 16.3 | 199.53 |
| 16.4 | 199.57 |
| 16.5 | 200.56 |
| 16.6 | 199.95 |
| 16.7 | 200.37 |
| 16.8 | 198.70 |
| 16.9 | 200.12 |
| 17 | 198.91 |
| 17.1 | 200.12 |
| 17.2 | 199.22 |
| 17.3 | 198.61 |
| 17.4 | 199.87 |
| 17.5 | 200.61 |
| 17.6 | 200.32 |
| 17.7 | 199.67 |
| 17.8 | 201.16 |
| 17.9 | 200.19 |
| 18 | 201.20 |
| 18.1 | 200.49 |
| 18.2 | 199.12 |
| 18.3 | 200.07 |
| 18.4 | 199.95 |
| 18.5 | 201.05 |
| 18.6 | 199.75 |
| 18.7 | 199.36 |
| 18.8 | 199.33 |
| 18.9 | 201.25 |
| 19 | 200.91 |
| 19.1 | 199.90 |
| 19.2 | 200.26 |
| 19.3 | 199.44 |
| 19.4 | 198.84 |
| 19.5 | 200.91 |
| 19.6 | 201.46 |
| 19.7 | 200.31 |
| 19.8 | 200.64 |
| 19.9 | 199.69 |
| 20 | 199.43 |
| 20.1 | 199.08 |
| 20.2 | 199.53 |
| 20.3 | 198.49 |
| 20.4 | 198.72 |
| 20.5 | 201.45 |
| 20.6 | 200.08 |
| 20.7 | 200.54 |
| 20.8 | 198.78 |
| 20.9 | 198.87 |
| 21 | 199.36 |
| 21.1 | 200.35 |
| 21.2 | 201.38 |
| 21.3 | 198.90 |
| 21.4 | 201.15 |
| 21.5 | 201.02 |
| 21.6 | 199.92 |
| 21.7 | 199.19 |
| 21.8 | 201.11 |
| 21.9 | 201.20 |
| 22 | 198.74 |
| 22.1 | 198.72 |
| 22.2 | 200.35 |
| 22.3 | 199.63 |
| 22.4 | 199.15 |
| 22.5 | 200.92 |
| 22.6 | 198.79 |
| 22.7 | 199.20 |
| 22.8 | 199.65 |
| 22.9 | 198.77 |
| 23 | 200.77 |
| 23.1 | 199.76 |
| 23.2 | 198.52 |
| 23.3 | 200.97 |
| 23.4 | 200.48 |
| 23.5 | 200.39 |
| 23.6 | 200.02 |
| 23.7 | 198.57 |
| 23.8 | 198.77 |
| 23.9 | 199.09 |
| 24 | 201.20 |
| 24.1 | 201.39 |
| 24.2 | 200.65 |
| 24.3 | 199.42 |
| 24.4 | 200.11 |
| 24.5 | 199.43 |
| 24.6 | 198.93 |
| 24.7 | 201.03 |
| 24.8 | 201.48 |
| 24.9 | 200.66 |
| 25 | 198.55 |
| 25.1 | 200.56 |
| 25.2 | 198.59 |
| 25.3 | 201.20 |
| 25.4 | 199.62 |
| 25.5 | 200.20 |
| 25.6 | 200.35 |
| 25.7 | 198.98 |
| 25.8 | 198.59 |
| 25.9 | 198.73 |
| 26 | 199.29 |
| 26.1 | 200.31 |
| 26.2 | 200.32 |
| 26.3 | 199.15 |
| 26.4 | 199.85 |
| 26.5 | 199.55 |
| 26.6 | 201.26 |
| 26.7 | 201.01 |
| 26.8 | 199.82 |
| 26.9 | 198.76 |
| 27 | 200.00 |
| 27.1 | 198.59 |
| 27.2 | 201.15 |
| 27.3 | 199.01 |
| 27.4 | 200.17 |
| 27.5 | 200.47 |
| 27.6 | 200.39 |
| 27.7 | 200.11 |
| 27.8 | 198.84 |
| 27.9 | 199.44 |
| 28 | 199.16 |
| 28.1 | 201.45 |
| 28.2 | 199.30 |
| 28.3 | 199.90 |
| 28.4 | 199.92 |
| 28.5 | 198.83 |
| 28.6 | 199.70 |
| 28.7 | 200.35 |
| 28.8 | 200.01 |
| 28.9 | 201.03 |
| 29 | 201.08 |
| 29.1 | 199.56 |
| 29.2 | 198.67 |
| 29.3 | 198.79 |
| 29.4 | 198.65 |
| 29.5 | 199.91 |
| 29.6 | 201.40 |
| 29.7 | 200.19 |
| 29.8 | 200.35 |
| 29.9 | 200.77 |
0.4 0.5 0.6 0.7 0.79999999999999993 0.89999999999999991 0.99999999999999989 1.0999999999999999 1.2 1.3 1.4000000000000001 1.5000000000000002 1.6000000000000003 1.7000000000000004 1.8000000000000005 1.9000000000000006 2.0000000000000004 2.1000000000000005 2.2000000000000006 2.3000000000000007 2.4000000000000008 2.5000000000000009 2.600000000000001 2.7000000000000011 2.8000000000000012 2.9000000000000012 3.0000000000000013 3.1000000000000014 3.2000000000000015 3.3000000000000016 3.4000000000000017 3.5000000000000018 3.6000000000000019 3.700000000000002 3.800000000000002 3.9000000000000021 4.0000000000000018 4.1000000000000014 4.2000000000000011 4.3000000000000007 4.4000000000000004 4.5 4.5999999999999996 4.6999999999999993 4.7999999999999989 4.8999999999999986 4.9999999999999982 5.0999999999999979 5.1999999999999975 5.2999999999999972 5.3999999999999968 5.4999999999999964 5.5999999999999961 5.6999999999999957 5.7999999999999954 5.899999999999995 5.9999999999999947 6.0999999999999943 6. 199999999999994 6.2999999999999936 6.3999999999999932 6.4999999999999929 6.5999999999999925 6.6999999999999922 6.7999999999999918 5.1803683818440858 5.1401683156956803 5.0818491894856344 5.054084513732124 4.9946759880790275 4.9566786532186713 4.9116514245018461 4.8695206901118855 4.8264273065110475 4.7885297368854429 4.7350255440754845 4.7012576479783164 4.6528820427908899 4.6142606053807302 4.5738117395089049 4.5311304865784052 4.4721596145330276 4.4450484809352755 4.3978504810034407 4.3434860805299405 4.317899582127259 4.2792658250730131 4.2294225157949388 4.1563383305458608 4.1543275997166171 4.065347869765108 4.0538331126708025 4.0123114520944023 3.9746566750055887 3.9275560909192562 3.8527800774992711 3.7951870164049253 3.8096649848625179 3.7638378840167572 3.6705625674179534 3.676832183346141 3.5878813147056055 3.6041510968544372 3.5375288254539452 3.481105300461337 3.4815782175094712 3.3898145880891777 3.4011252429449916 3.3254360881688569 3.2349836011782522 3.1927139047804332 3.1625271996884239 3.1876914066849706 3.1405496340521442 2.98094659344906 3.0320071912131534 2.9331954693979321 2.9532479527076809 2.8257159835896752 2.8328016175015844 2.851520292546267 2.7484066382972268 2.7497659135952497 2.7428148615343657 2.7092850150480916 2.4659543979803149 2.5666347305230675 2.4255101150063094 2.5531160736625904 2.3456057163622241