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Consider a closed rectangular box with a square base, as shown in the figure. Assume x is measured with an error of at most 0.3%

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Consider a closed rectangular box with a square base, as shown in the figure. Assume x is measured with an error of at most 0.3% and y is dx dy measured with an error of at most 0.30%, so we have X 5 0.003 and $ 0.003. y X X dv a. Use a differential to estimate the relative error in computing the box's volume V. as b. Use a differential to estimate the relative error S in computing the box's surface area S. a. % (Type an integer or a decimal. Round to two decimal places as needed.) as b. S S % (Type an integer or a decimal. Round to two decimal places as needed.)

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