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The base and height of a right angle triangle are measured as 4 cm and 7cm respectively, with an error in measurement of at most 0.1 cm in the base and 0.15 cm in the height. Use differentials to estimate the maximum error in the calculated area of the triangle. The area of a right angle triangle is A = x Base x Height. 0.65 cm² 1.45 cm2 0.725 cm² 1.3 cm²

The base and height of a right angle triangle are measured as 4 cm and 7cm respectively, with an error in measurement of at most 0.1 cm in the base and 0.15 cm in the height. Use differentials to estimate the maximum error in the calculated area of the triangle. The area of a right angle triangle is A = x Base x Height. 0.65 cm² 1.45 cm2 0.725 cm² 1.3 cm²

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The base and height of a right angle triangle are measured as 4 cm and 7 cm respectively, with an error in measurement of at most 0.1 cm in the base and 0.15 cm in the height. Use differentials to estimate the maximum error in the calculated area of the triangle. The area of a right angle triangle is A = x Base x Height. 1 D 0.65 cm² 1.45 cm² 0.725 cm² 1.3 cm²
Transcribed Image Text:The base and height of a right angle triangle are measured as 4 cm and 7 cm respectively, with an error in measurement of at most 0.1 cm in the base and 0.15 cm in the height. Use differentials to estimate the maximum error in the calculated area of the triangle. The area of a right angle triangle is A = x Base x Height. 1 D 0.65 cm² 1.45 cm² 0.725 cm² 1.3 cm²
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