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The radius of a circular disk is given as 22 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error (in cm²) in the calculated area of the disk. (Round your answer to two decimal places.) 27.65 cm² (b) What is the relative error? (Round your answer to four decimal places.) X What is the percentage error? (Round your answer to two decimal places.) X %

The radius of a circular disk is given as 22 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error (in cm²) in the calculated area of the disk. (Round your answer to two decimal places.) 27.65 cm² (b) What is the relative error? (Round your answer to four decimal places.) X What is the percentage error? (Round your answer to two decimal places.) X %

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The radius of a circular disk is given as 22 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error (in cm²) in the calculated area of the disk. (Round your answer to two decimal places.) Answer: 27.65 cm² (This answer is marked as correct with a checkmark.) (b) What is the relative error? (Round your answer to four decimal places.) The answer box for the relative error is blank with an "X" indicating an incorrect or incomplete response. What is the percentage error? (Round your answer to two decimal places.) The answer box for the percentage error is blank with an "X" indicating an incorrect or incomplete response.
Transcribed Image Text:The radius of a circular disk is given as 22 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error (in cm²) in the calculated area of the disk. (Round your answer to two decimal places.) Answer: 27.65 cm² (This answer is marked as correct with a checkmark.) (b) What is the relative error? (Round your answer to four decimal places.) The answer box for the relative error is blank with an "X" indicating an incorrect or incomplete response. What is the percentage error? (Round your answer to two decimal places.) The answer box for the percentage error is blank with an "X" indicating an incorrect or incomplete response.
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