Use linear approximation, i.e. the tangent line, to approximate $1.9^5$ as follows:
Let $f(x) = x ^5$. The equation of the tangent line to $f(x)$ at $x = 2$ can be written in the form $y = mx+b$
where $m$ is:
and where $b$ is:
Using this, we find our approximation for $1.9 ^5$ is