# Question: please use mathematica for at least one of the following...

###### Question details

**Please use Mathematica** for at least one of the
following problems:

**Problem #2** Values of world energy consumption are
given below. Calculate a best-fit exponential curve to the six data
points 1850–1975, and then use this curve to predict the value of
energy consumption in 2000. If the actual value in 2000 is 419 EJ,
by how much does the projected answer differ from the actual
value?

1850 |
1875 |
1900 |
1925 |
1950 |
1975 |

25 EJ |
27 EJ |
37 EJ |
60 EJ |
100 EJ |
295 EJ |

**Problem #3** Current global energy consumption
trends combined with per-capita energy consumption of some of the
most affluent countries, such as the United States, can be used to
project the future course of global energy demand over the long
term. One such analysis predicts a stabilization of world energy
consumption at 3620 EJ/yr.

From data provide in Problem #2, it can be seen that the world reached the 37 EJ/year mark in 1900, and the 100 EJ/year mark in 1950. Using these data points and the logistics formula, calculate the number of years from 2004 until the year in which the world will reach 97% of the value predicted at the stabilized usage rate.