(1) Estimate $(26.8)^{\frac{2}{3}}$ using linear approximation. The computation of the approximation should not require a calculator (otherwise why even bother with an approximation!), so be sure to select the $a$ of the linear approximation formula wisely to make that happen!
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Step 1
We need to estimate $(26.8)^{\frac{2}{3}}$. This can be written as $f(x) = x^{\frac{2}{3}}$ and we want to approximate $f(26.8)$. Show more…
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