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(a) If one solves the ordinary differential equation
using Euler's method find an expression for the local truncation error.
(b) Using the result of (a) above what will the upper bound on the truncation error be for the entire integration range?
(c) Assume that the computation proceeds using a constant integration step h. Show that the upper bound of the global error (i.e. the accumulative error) will be one order of magnitude less than upper bound of the truncation error ( that is, if the global bound of the truncation error is O(hm+1) then the bound for the global error is O(hm)).
(d) How is it possible (sometimes) to make an estimate of these bounds, before carrying out the numerical integration?
Consider the linear transformation (a) Find the image of (3 , -2 , 2) under T. (b) Does the vector (5, 3) belong to the range of T? (c) Determine the matrix of the transf
#question what is the statistical process to reduce hardness of water
discuss the mathematical test of adequacy of index number of formulae. prove algebraically that the laspeyre, paasche and fisher price index formulae satisfies this test. What is
Range Official Exports Target 2000-2001 Product ($ million) Plantation 500 Agriculture and Alli
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For each of the following scenarios, explain how graph theory could be used to model the problem described and what a solution to the problem corresponds to in your graph model.
Properties of correlation
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