Question
The side $s$ of a square carpet is measured at $6 \mathrm{~m}$. Estimate the maximum error in the area $A$ of the carpet if $s$ is accurate to within $2 \mathrm{~cm}$.
Step 1
02$ m. So, we can say that $\Delta s = 0.02$ m. Show more…
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The side $s$ of a square carpet is measured at 6 $\mathrm{m} .$ Estimate the maximum error in the area $A$ of the carpet if $s$ is accurate to within 2 centimeters.
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The length and width of a rectangle are measured as 30 $\mathrm{cm}$ and $24 \mathrm{cm},$ respectively, with an error in measurement of at most 0.1 $\mathrm{cm}$ in each. Use differentials to estimate the maximum error in the calculated area of the rectangle.
PARTIAL DERIVATIVES
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