5. (a) Use the integral test to determine whether the sum ∞ Σ n6 n=1 converges. Include your explanation and working in the handwritten answers. (b) Use Matlab to evaluate the sum from Point 5(b). Interpret the result in terms of convergence/divergence. Include a screenshot of your command window showing (1) your command, and (2) Matlab's answer. Include your explanation in the handwritten answers. (c) Use Matlab to evaluate the sum n=1 Interpret the result in terms of convergence/divergence. Include a screenshot of your command window showing (1) your command, and (2) Matlab's answer. Include your explanation in the handwritten answers.

Show ALL of your work in order to get credit. There is a Power Point example on Blackboard of a Homework submission under "Course Orientation" area. For questions requiring Python Code - you are required to include a screen shot of the code AND a screen shot of a sample execution in the PDF for your submission.

What precisely is the purpose of debugging, and how does the process operate when it is put into practise? How does the aforementioned information connect to the approach that will be used in the process of evaluating the candidates?

Answer All questions. Take screenshots when using MATLAB to write the scripts and insert them in your final report. 3. Plot a two-dimensional graph of the two vectorsx=[ 10.2 * 30 40 50 60 70 ] andy = [11 23 14 16 22 23 25] using the plot command.Add to the graph a suitable title along with labels for the x-axis and the y-axis. 4. Plot the mathematical function y = 4x ^ 2 + 3 in the range x from - 7to + 7 o Include a title for the graph as well as labels for the two axes.o Show the curve with a blue dashed line with circle symbols at the plotted points. 5. Plot the following four mathematical functions each with its own diagram using the subplot command. The functions are y = 2x ^ 3 - 4 z = x + 1 , d = x ^ 2 - 2 and v = x ^ 2 + 3 . Use the vector x=[1 2 3 4 5 6 7 8 9 10] as the range for x.o Include a title for the graph as well as labels for the two axes.o Print the legend boxo Move the legend box to the south east 6. Use the surf command to plot a three-dimensional surface of…