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Hi,I have an assignment in computational physics. we have to use Matlab . can you help me? QUADRATURE The error function is defined as erf(x) = 2 x 0 e y 2 dy. Consider x = 1, with the exact solution erf(1) = 0.842-700-...49715. Find the relative error = erf(1)numerical erf(1)exact erf(1)exact in double precision for each of the following methods: 1) Trapezoidal, 2) Simpson, 3) Euler-Maclaurin (including first-order derivative). Use many successively smaller interval sizes h. Make a single log-log plot showing (h) for all three methods. Your smallest step size must be less than 104 . Comment on the plot and what it tells you about the methods. Comment on the order of the different methods, as revealed in the plot. For example, is the Euler-Maclaurin method a higher-order method than the trapezoidal rule? EIGENVALUES Using the Lanczos method, find the eigenvalues of the matrix A = 12 13 2 4 7 13 14 7 4 12 2 7 6 10 5 4 4 10 12 1 7 12 5 1 10

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