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SCALCET$93\mathrm{.}10\mathrm{.}027.$

ASK YOUR TEACHER

Consider the following.

$f(x)=x^4-x4$

Compare the values of $y$ and $dy$ if $x$ changes from $1$ to $1\mathrm{.}08.($Round your

$y=$

$dy=$

What if $x$ changes from $1$ to $1\mathrm{.}01?($Round your answers to four decimal plac

$y=$

$dy=$

Does the approximation $y$~~$dy$ become better as $x$ gets smaller?

Yes

No

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