Assignment 3

In this assignment you will create a library of functions related to radiocarbon dating and use that library to print some results.

First, create one file containing at least two functions. One should solve the time equation for C¹⁴ and another solve the concentration equation Feel free to add other functions if you want.

Create another file containing the main procedure. This should prompt the user to enter a mass fraction of C¹⁴ (i.e. the ratio of N(t)/N(0)) and should print out the estimated time since the creature died. Then it should prompt the user for an initial concentration and time in years and print out the concentration at that time.

Finally, optionally create a Makefile to compile the two files and link them together. If you decide not to create a Makefile please include the commands to compile the files in a commented section of the file containing the main function. Remember, indention in Makefiles must be done with tabs.

Comment the code well, ensure the compiler does not generate any warnings, and generate a tar file containing all the files as per the instructions on the home page.

Note that while you can certainly write your own exponential and logarithm functions if you want you are allowed to link to the standard math library and use the built in functions double exp (double) and double log (double) (see man 3 exp and man 3 log for more function information). To do this you should include the header math.h and link with the math library using -lm. A sample link command for two files, main.c and lib.c, that links in the math library could look like this cc -Wall -o hw3 main.c lib.c -lm

To test your results a mass fraction of 0.17 should result in a time of 14648 years.