Let f $($x$)=$ x$2$ sin$($x$2).$

$($a$)$ Find the multiplicity of the root r $=0.$

$($b$)$ Find the forward and backward errors of the approximate root xa $=0\mathrm{.}01.$

$($c$)$ What happens when you use Matlab$$s fzero command to locate the root? Try x$0=1010.$

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