In Matlab, type rng$(21)$ and length $(y),1.$ Repeat problems $2$ and $3$

when $y$ is replaced by $y+v.$

$2.$ Let $y(x)=sin(60x)-sin(120x).$ Let $x=0$:$0\mathrm{.}001$:$1$ and let $y$ be the column vector

of samples $y(x).$ Interpolate the samples by a factor of four using myspline and

compute the relative interpolation error. Repeat using Matlab's interp.

$3.$ Let $y(x)=e^{-x}+2e^{-2x}.$ Let $x=0$:$0\mathrm{.}001$:$1$ and let $y$ be the column vector of samples

$y(x).$ Interpolate the samples by a factor of four using myspline and compute the

relative interpolation error. Repeat using Matlab's interp.