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Numerical methods Final Exam Student Name: 1) Solve the following system of linear equations using Gauss elimination: x₁
Posted: Fri Jun 17, 2022 12:48 am
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- Numerical Methods Final Exam Student Name 1 Solve The Following System Of Linear Equations Using Gauss Elimination X 1 (30.74 KiB) Viewed 34 times
Numerical methods Final Exam Student Name: 1) Solve the following system of linear equations using Gauss elimination: x₁ - x₂ + xy = 5 -x₁ + x₂ + 2x₂ = 7 2x₁ + x₂-x3 = 4 2) Find the first five terms in the Taylor series expansion of cos x 3) Estimate the following integral using trapezoidal rule with interval width=1 e sinx dx 1+x² 4) Use the Newton-Raphson method with three iterations to find the root of the following equation with an initial guess of 1 f(x)=e* - 2x-1=0 5) Solve the following differential equation using Euler's method for 1 sxs 2 with a step size of h-0.1 (calculate three iterations) dy dx 3x²y such that y-1 atx=1 6) Use least-squares linear regression to fit a straight line to the following experimental data: 10 13 12 16 7 18 20 X 3 1 5 12 5 11 5 y 6 8 7 12 Jun 2022 96 Student ID#: 9