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Given that dy/dt = y + et with y(0) = 0.
i) Apply Euler's Method to find ya (1) using step size h = 0.1;
ii) Apply Improved Euler's Method to find yb (1) using step size h = 0.1;
iii) Find the exact solution to the initial value problem;
iv) Estimate the errors in the predicted value of ya(1) and yb (1) and suggest a value of step size for each method that would provide a value of y(1) accurate to 0.5%.
Determine the least number of terms of the Maclaurin series required to get an absolute true error of at most 10-6 in the calculation of sin(0.1).
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Select a financial institution and find out what it takes to qualify for a loan. Try to understand the rationale for the institution's rules, policies, and guidelines about loan approval.
Dirichlet series
Calculate the circumfrential and longitudinal stresses in the plates when the internal pressure is 800KN/m sq. If the ultimate tensile stress of the material used is 600 MN/m sq, and the efficiency of the longitudinal joint is 70 per cent, determi..
Evaluate lim sup Ek
Matrix multiplication is distributive. That is, for any four matrices A, B, C and D of appropriate size, the following two matrix multiplication equalities
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Write a short account commenting on these two methods, explaining why the alternative approach is likely to be considerably quicker for a list of 100 names.
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