$2\mathrm{.}3[$A$]-$type error: Problems with Adding & Subtracting $4$ ptsYou want to calculate Z $=$ X$3$ Y$3$ using a fake, crappy computer that rounds numbers in the floating point format $\backslash$pm d$.$dd x $10\backslash$pm d $,$ where each d is a decimal from $09,$ and the first d in the number cant be a $0.$ For your example, assume X $=12\mathrm{.}5$ and Y $=12\mathrm{.}4.($a$)$ Calculate the computers value for Z the standard way: first cubing X $($and rounding the answer back to a storable value$),$ then cubing Y $($and rounding the answer back to a storable value$),$ then subtracting the two $($and rounding that back to a storable value$).$ Show me all your work! $($b$)$ What is the percent error in the calculation from $($a$)?($c$)$ Describe for me a better way of calculating Z on this $($fake$,$ crappy$)$ computer, and compare the percent error in your improved calculation with that from $($a$).$ Be sure to still follow all the computer rules showing me how the computer does each individual calculation and rounding the answer back to a storable value before moving on to the next step! Hint: X$3$ Y$3=($X$-$Y$).($X$2+$XY$+$Y$2)$