For the function f $($ x $)=2\mathrm{.}25$x$^33$x$^2+21\mathrm{.}5$e$^$x

a$.$ Find the root of f on the interval $[2,3]$ with a tolerance of $1012$ using Newton$$s

method with an initial guess of $2.$ Use the approximate absolute error as your stopping

condition. Print the root and the number of iterations required.