Assignment_I - 2 Where , n-roughness coefficient , B- width...

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MTH 510 Numerical Analysis Spring_09 Assignment I : Due Date May 19, 09 Q1 Evaluate using two approaches And And compare with the true value of . Use 20 terms to evaluate each series and compute true and approximate relative errors as terms are added. Q2 Determine the number of terms necessary to approximate cos x to 8 significant figures using Maclaurin series approximation Calculate the approximation using a value of . Q3 Evaluate the polynomial a) at x=1.37. Use 3 digit arithmetic with chopping. Evaluate the % relative error if the true value is b) Repeat (a) but express Q4 Evaluate and interpret the condition number for a) for x=1.00001 b) for Q5 Manning’s formula for a rectangular channel can be written as
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Unformatted text preview: 2 Where , n-roughness coefficient , B- width (m) , H- depth (m) and S- slope . You are applying this formula to a stream where you know the width is 20 m and the depth is 0.3 m. Unfortunately, you know that the roughness and the slope to only precision. That is you know that the roughness is about 0.03 with a range 0.027 to 0.33 and the slope is 0.0003 with a range from 0.00027 to 0.00033. Use a first order error analysis to determine the error estimation of the flow and determine the sensitivity of the flow prediction to each of the two factors. Which one should you attempt to measure with more precessions....
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Assignment_I - 2 Where , n-roughness coefficient , B- width...

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