Given the following integral: x*e** dxdy 1) Please show the plot of the function f(x, y)...

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Given the following integral: x*e** dxdy 1) Please show the plot of the function f(x, y) = x^e² in Matlab. [0.5 Marks] 2) Fill in the following table: Number of Gauss Points in Gaussian Integration each direction 1 3 5 [1.5 Marks] 3) Using Integrate analytic_function_2D.m (Tutorial 10) as a template, code adaptive refinement for the Rectangle, Trapezium and Simpson's Rules, where the number of intervals in x and y directions are progressively increased from 8 to 80 in steps of 2. The following types of refinement should be implemented for each rule: a. Only increase the number of intervals in the x direction in steps of 2, leaving the number of intervals in the y direction constant at 8. b. Only increase the number of intervals in the y direction in steps of 2, leaving the number of intervals in the x direction constant at 8. c. Simultaneously increase the number of intervals in the x and y direction from 8 to 80 in steps of 2. Show your Matlab code. [4 Marks] 4) Make one figure for each rule where you show how the solution changes with progressive refinement by plotting the number of intervals vs the values of the integral. The three types of refinement (a, b and c) must be shown clearly in each plot. [2 marks] Given the following integral: x*e** dxdy 1) Please show the plot of the function f(x, y) = x^e² in Matlab. [0.5 Marks] 2) Fill in the following table: Number of Gauss Points in Gaussian Integration each direction 1 3 5 [1.5 Marks] 3) Using Integrate analytic_function_2D.m (Tutorial 10) as a template, code adaptive refinement for the Rectangle, Trapezium and Simpson's Rules, where the number of intervals in x and y directions are progressively increased from 8 to 80 in steps of 2. The following types of refinement should be implemented for each rule: a. Only increase the number of intervals in the x direction in steps of 2, leaving the number of intervals in the y direction constant at 8. b. Only increase the number of intervals in the y direction in steps of 2, leaving the number of intervals in the x direction constant at 8. c. Simultaneously increase the number of intervals in the x and y direction from 8 to 80 in steps of 2. Show your Matlab code. [4 Marks] 4) Make one figure for each rule where you show how the solution changes with progressive refinement by plotting the number of intervals vs the values of the integral. The three types of refinement (a, b and c) must be shown clearly in each plot. [2 marks]

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Part 2 of the Question MATLAB Script close all clear clc Given double integral can be written as I i... View the full answer