You are given the function $()=1(132)$

a$)$ Evaluate the function at $=0\mathrm{.}557$ using $3-,6-,8-,16-,$ and $32-$digit arithmetic with truncating

$($chopping$).$

b$)$ Compute the estimated percent relative errors for the different solutions.

c$)$ What type of numerical error does this question illustrate? What is a viable remedy for this type

of numerical error?

$3$

$3$

d$)$ Often Taylor series $($with first or higher order terms$)$ is used for evaluating functions. Would this

be a helpful methodology for the given function? Why or why not? Matlab CODE