653 – MATLAB

You are required to complete the MATLAB Engineering Mathematics assignment fully and correctly according to all instructions provided in the coursework specification.

Requirements:

– Solve all four tasks completely and accurately.

– Use MATLAB only.

– Ensure all codes are written professionally with clear comments and proper formatting.

– Follow the exact function names and formats required in the assignment.

– Ensure all functions are self-contained and do not rely on external custom functions except built-in MATLAB functions.

– Test all codes carefully before submission to avoid syntax or logical errors.

– Ensure compatibility with recent MATLAB versions.

Deliverables Required:

– All MATLAB .m files for every task and subtask.

– Any required function files.

– All plotting and visualization scripts.

– Ensure all figures and outputs appear correctly when running the scripts.

Task Requirements:

TASK 1:

– Create a user-defined MATLAB function to calculate the total surface area of a cylinder.

– Create a temperature conversion script from Celsius to Fahrenheit using user input and formatted tables with fprintf.

– Calculate the first 10 square pyramidal numbers.

– Create a proper 3D visualization using plot3 or scatter3 with labels, title, colors, and equal axis scaling.

TASK 2:

– Implement Hookes Law calculations for the provided spring constants.

– Prompt the user for displacement and generate a formatted force table.

– Plot multi-curve comparisons for different displacement ranges and all spring constants on the same figure.

– Include legends, labels, grid, and suitable plot formatting.

TASK 3:

– Create a complete prism geometry script.

– Allow user input for polygon vertices and extrusion height.

– Implement the shoelace formula in a function named according to the assignment instructions.

– Use subfunctions to compute edge lengths and perimeter.

– Compute and display:

– Base Area

– Perimeter

– Volume

– Lateral Surface Area

– Total Surface Area

– Add validity checks for zero-area polygons.

– Include optional 3D prism visualization using plot3.

TASK 4:

– Create a function to classify a 33 linear system as:

– Unique solution

– No solution

– Infinitely many solutions

– Solve the system using matrix methods if a unique solution exists.

– Create a script that prompts the user to enter all coefficients and vector values.

– Plot the three planes in 3D space.

– If a unique solution exists, plot and annotate the intersection point.

– Add labels, legends, transparency, title, and proper visualization formatting.

Important Notes:

– Ensure all outputs are neatly formatted.

– Ensure all graphs are clear and professional.

– Use meaningful variable names and sufficient comments throughout the code.

– Make sure the assignment is fully complete and ready for direct submission.

– Send all MATLAB source files after completion.

– Double-check all mathematical formulas and calculations for correctness.