I$($t$)=$ Ae$$bt sin$($t$),$ where A $=5\mathrm{.}25$ A$,$ b $=1\mathrm{.}75102$ s$1,$ and $=375$ rad$/$s$.$ At t $=0\mathrm{.}740$ s$,$ this changing current induces an emf in a second coil that is close by$.$ If the mutual inductance between the two coils is $4\mathrm{.}26$ mH$,$ determine the induced emf. $($Assume we are using a consistent sign convention for both coils. Include the sign of the value in your answer.$)$