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APM3715 ASSIGNMENT 1 SOLUTIONS 2024 UNISA NUMERICAL METHODS FOR CIVIL ENGINEERS
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- University Of South Africa (Unisa)
APM3715 ASSIGNMENT 1 SOLUTIONS 2024 UNISA NUMERICAL METHODS FOR CIVIL ENGINEERS
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,, QUESTION 1
(a) Actual length = 14.5 meters
True length = 14.7 meters
Absolute error = 14.7 – 14.5 = 0.2
Relative error = (x0-x)/x = (Δx)/x = 0..5 = 0.01379
(b) 5.6789 = 5.679 (rounded off to 3 decimal places)
Absolute Error = 5.679 – 5.6789 = 0.0001
Relative error = (x0-x)/x = (Δx)/x = 0.0001/5.6789 = 1/56789 = 0.00001
5.6789 = 5.67 (truncated to 2 decimal places)
Absolute error = 5.6789 – 5.67 = 0.0089
Relative error = (x0-x)/x = (Δx)/x = 0.0089/5.67 = = 0.00156
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