A rectangular plate has a length of (2 ± 0.02) cm and a width of (1 ± 0.01) cm. The maximum percentage error in the measurement of its area.
Added by Logan B.
Step 1
First, we need to find the maximum possible area of the rectangular plate. This can be done by multiplying the maximum length and maximum width: Maximum length = 2 + 0.02 = 2.02 cm Maximum width = 1 + 0.01 = 1.01 cm Maximum area = Maximum length x Maximum Show more…
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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.
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The length and width of a rectangle are measured as 30 cm and 24 cm, respectively, with an error in measurement of at most 0.1 cm in each. Use differentials to estimate the maximum error in the calculated area of the rectangle.
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