MAT 581代写 MATLAB代考

2021-08-13 15:23 星期五 所属: Matlab代写,专业代做代考仿真建模分析数学视觉机器学习等 浏览:598

MAT 581代写

MAT 581           MATLAB  TEST  

 Spring 2019 MAT 581代写

NAME:  

MAT 581代写 For n = 5, 10, and 15, find the Newton interpolating polynomial pn for the function f (x) = 1/(1 + x2) on the interval [−5, 5]. Use equally spaced

1.(5points) Define f (x) = sin(x) + cos(x) and MAT 581代写

Write a Matlab script that plots the functions f (x), S10(x), and S20(x) across the interval [0, 2π].

  1. (5points) Write a Matlab script that plots a closed curve

(px(t), py(t)), 0 t  1  MAT 581代写

that passes through the points (0, 0), (0, 3), and (4, 0).  The functions px  and py  should  be cubic polynomials. The plot should be based on one hundred evaluations of  px  and  py.

MAT 581代写
MAT 581代写

3.(5 points) For n = 5, 10, and 15, find the Newton interpolating polynomial pnfor the function f (x) = 1/(1 + x2) on the interval [5, 5]. MAT 581代写

Use equally spaced nodes. In each case, compute f (x) pn(x) for 30 equally spaced points in [5, 5] in order to see the divergence of pn from f .

4.(5 points) Let h be a “small” The derivative of a function f at x0can be approximated by a forward divided difference

and by central divided difference

MAT 581代写
MAT 581代写

For the function f (x) = sin(x), plot the error when these approximations are used to estimate f j(1) = cos(1) for h = 101, 102, . . . , 1016. Repeat with x0 = 1 + 106π. Use loglog for each of the four plots and display them all in the same window using subplot. Be sure to title each plot and label the axes appropriately. Your script should not have any loops.

MAT 581代写
MAT 581代写

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