Let $$t $=$ dt $=0\mathrm{.}01$

Let the vector f have the values $[0\mathrm{.}000000000000000$

$0\mathrm{.}000986635785864$

$0\mathrm{.}003942649342761$

$0\mathrm{.}008856374635656$

$0\mathrm{.}015708419435684]$

In MATLAB, create a column vector d$2$ such that the inner product $<$ d$2,$ f $>$ is the fourth$-$

order accurate central difference approximation to f$($t$3)$