1. Ignore this question from 2012 as it deals with material no longer covered.
2. Write a program, that creates a list $t$ with 6 values, 0.1, 0.2, ..., 0.6. Compute a corresponding list $y$ of $y(t)$ values using the formula: $$y(t) = v_0t − gt^2,$$ where $v_0=6.0$ and $g=9.8$.
3. The factorial of n, written as n!, is defined as: $$n! = n(n − 1)(n − 2)...2\cdot1,$$ with the special cases $$1! = 1, 0! = 1.$$ For example, $4! = 4\cdot3\cdot2\cdot1 = 24$, and $2! = 2\cdot1 = 2$.
4. A table of temperatures and densities, in units of degrees ($C$) and $kg/m^3$, are given in the file data/density_air.dat Write a program that reads in the data from file into a list for temperature (first column) and density (second column) and plots the variation of density against temperature.
5. Based on the data in the file data/constants.txt, make a dictionary where the keys are the names of the physical constant and the values are a tuple containing the numerical value and the units.