You are given that ${}_t=0\mathrm{.}2\frac{t}{1+0\mathrm{.}1t^2}$ for all $t>0.$ Determine $i_2.$

Possible Answers

$0\mathrm{.}21$

$0\mathrm{.}24$

$0\mathrm{.}27$

$0\mathrm{.}31$

$0\mathrm{.}36$