Cooper Section $8\mathrm{.}6$ #$1$

Suppose $f(3)=5$ and $f^{\text{'}}(3)=1.$

$a.$ what does the tangent line approximation give $asan$ approximation for $f(3\mathrm{.}1)?$

$f(3\mathrm{.}1)$~~

$b.$ what does the tangent line approximation give $asan$ approximation for $f(3\mathrm{.}01)?$

$f(3\mathrm{.}01)$~~

$c.$ Which $of$ these answers would you expect $tobe$ more accurate?

$A.$ part $(a)$

$B.$ part $(b)$