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1. (a) (6 marks) Find the Taylor polynomial of degree 3 for f(x) = x^(3/2) expanded about x0 = 4. (b) (2 marks) Does f(x) =x^(3/2) have a Taylor polynomial expansion about x0 = 0? Justify your answer. 2. Consider the data (a) (5 marks) ...
Continue reading1. Consider the equation: x^7 + 8x^6 + 16x^5 = 0. (a) (4 marks) Solve the equation using hand calculations. What is the order of each root of the equation? (b) (4 marks) Find an interval [a, b] such that the bisection method ...
Continue reading1. Consider the equation: x^7 + 8x^6 + 16x^5 = 0. (a) (4 marks) Solve the equation using hand calculations. What is the order of each root of the equation? (b) (4 marks) Find an interval [a, b] such that the bisection method ...
Continue reading1. Consider the system of linear equations (a) (10 marks) Use hand calculations to find the Cholesky decomposition of the coefficient matrix A and then solve the resulting triangular system. (b) (2 marks) Use Matlab built in command to find the Cholesky decomposition of ...
Continue reading1. Consider the system of linear equations (a) (10 marks) Use hand calculations to find the Cholesky decomposition of the coefficient matrix A and then solve the resulting triangular system. (b) (2 marks) Use Matlab built in command to find the Cholesky decomposition of ...
Continue reading1. Consider the following system (a) (5 marks) Use hand calculations to solve the system using Gaussian elimination method with no pivoting. (b) (7 marks) Use hand calculations to solve the system using Gaussian elimination method with partial pivoting. 2. Consider the system of linear ...
Continue reading1. Consider the following system (a) (5 marks) Use hand calculations to solve the system using Gaussian elimination method with no pivoting. (b) (7 marks) Use hand calculations to solve the system using Gaussian elimination method with partial pivoting. 2. Consider the system of linear ...
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