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I need help finding N(1951) and N(1952) using a continuous fixed rate with carrying capacity population model (growth rate: 0.01078 and carrying capacity: 800 million

I need help finding N(1951) and N(1952) using a continuous fixed rate with carrying capacity population model (growth rate: 0.01078 and carrying capacity: 800 million people)

This is the actual population data starting at 1950:

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YEAR POPULATION 1950 158 804 1951 160 905 1952 163 325 1953 165 988 1954 168 828 1955 171 784 1956 174 806 1957 177 851 1958 180 884 1959 183 878 1960 186 808 1961 189 655 1962 192 398 1963 195 016 1964 197 492 1965 199 816 1966 201 975 1967 203 982 1968 205 880 1969 207 733 1970 209 588 1971 211 462 1972 213 352 1973 215 269 1974 217 218 1975 219 205 1976 221 239 1977 223 324 1978 225 450 1979 227 600 1980 229 763 1981 231 939 1982 1983 1984 1985 1986 234 133 236 344 238 574 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 240 824 243 099 245 403 247 740 250 113 252 530 254 975 257 454 260 020 262 742 265 659 268 803 272 137 275 543 278 862 281 983 284 852 287 507 290 028 292 539 295 130 297 827 300 595 303 374 306 076 308 641 311 051 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 313 335 315 537 317 719 2012 2013 2014 2015 2016 2017 319 929 322 180 324 459

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