Consider the following flowchart for the Newton$-$Raphson method:

The flowchart is applied to the function: $---$f$($x$)=3$x$2(29+25$x$)$x$3$ and $--$c$=2,---$Etol$=0\mathrm{.}04271$

a$)$ The final value of c in the penultimate block of the diagram is $?$

b$)$ The value of f$($x$)$evaluated at that final value of c is f$($c$)?$

c$)$ The approxThe number of times the mapping is executed in the diagram isimate error of that final value of c is$?$

d$)$ The number of times the mapping c$=$c$[$f$($c$)/$f$($c$)]$ is executed in the diagram is $?$