Problem $3(6$ points$)$

Element $112$ is Livermorium, which has a half$-$life of $53ms.$ This means that every $53ms,$ half

of the atoms of the element present decay. $($For example, if there are $400$ atoms of the element

now, in $53ms$ there will be $200$ atoms of the element, and in $106ms$ there will be $100$ atoms.$)$

Write MATLAB code consisting of a main script and a function that will calculate the amount of

Livermorium present after a certain amount of time has passed and will graph the amount of

Livermorium as a function of time. Follow these criteria in organizing your code:

The main script will

prompt the user for the initial amount of Livermorium in grams

prompt the user for the length of time over which to calculate the decays.

call the decay function

print a statement to the screen with the elapsed time in seconds and the

amount of Livermorium remaining in grams

The decay function will

accept the initial grams of Livermorium and the time elapsed as input

arguments

calculate the number of grams remaining after each half$-$life

plot the amount of Livermorium vs time elapsed in seconds. Use data

markers and no connecting line.

return the amount of Livermorium remaining in grams after the elapsed

time. The function does not have to consider any fractional half lives at

the end of the requested time.