The wind$-$chili index is modeled by the function

$w=19\mathrm{.}120\mathrm{.}6715r-11\mathrm{.}37p^{8\mathrm{.}16}0\mathrm{.}3965r^{0\mathrm{.}16}$

where $T$ is the actual temperabure $(inC)$ and $r$ is the wind speed $($in $k\frac{m}{h}).$ The wind speed is meanured as $27k\frac{m}{h},$ with a posible error of $12k\frac{m}{h},$ and the actual temperature is meanured as $-10C,$ with a posulble error of $21C.$ Use differentials to estimate the maximum error in the calculated value of $W$ doe to the meanurement errors in $T$ and $v.($Round your answer to two declmal places.$)$

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