(1) Write an M-file that takes in a complex number in its rectangular form (a +...

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(1) Write an M-file that takes in a complex number in its rectangular form (a + jb) and convert it to its polar form(r<0). Use input and fprintf commands to display a mix of text "Z" and numbers. [5 Marks] (ii) Body Mass Index (BMI) is a measure of body fat based on height and weight. BMI applies to most adults aged 18 to 65. It is calculated by dividing weight in kilograms by height in meters squared. A BMI below 18.5 is considered underweight, a BMI of 18.5 to 24.9 is considered healthy weight, while a BMI of 25 to 30 is considered overweight, and a BMI of 30 and above is considered obese. Write a user-defined MATLAB function, that will take the users height in meters and their weight in KG and displays the BMI index and the category in which the user falls into. You might want to use 'mod' and 'input' function and look up the 'fprintf' command to display your answer in the required format. (iii)Triangular numbers are a sequence of numbers that can be represented in the form of an equilateral triangle. The first triangular number is 1, which represents a single dot. The second triangular number is 3, which represents an equilateral triangle with two dots on each side. The third triangular number is 6, which represents an equilateral triangle with three dots on each side, and so on. 1 3 6 Figure 1 [10 Marks] Calculate 10 Triangular numbers starting from 1 using MATLAB and display them as equilateral triangles of asterisks *** similar to the display in Figure 2. Using "plot" function. [10 Marks] Figure 2 (1) Write an M-file that takes in a complex number in its rectangular form (a + jb) and convert it to its polar form(r<0). Use input and fprintf commands to display a mix of text "Z" and numbers. [5 Marks] (ii) Body Mass Index (BMI) is a measure of body fat based on height and weight. BMI applies to most adults aged 18 to 65. It is calculated by dividing weight in kilograms by height in meters squared. A BMI below 18.5 is considered underweight, a BMI of 18.5 to 24.9 is considered healthy weight, while a BMI of 25 to 30 is considered overweight, and a BMI of 30 and above is considered obese. Write a user-defined MATLAB function, that will take the users height in meters and their weight in KG and displays the BMI index and the category in which the user falls into. You might want to use 'mod' and 'input' function and look up the 'fprintf' command to display your answer in the required format. (iii)Triangular numbers are a sequence of numbers that can be represented in the form of an equilateral triangle. The first triangular number is 1, which represents a single dot. The second triangular number is 3, which represents an equilateral triangle with two dots on each side. The third triangular number is 6, which represents an equilateral triangle with three dots on each side, and so on. 1 3 6 Figure 1 [10 Marks] Calculate 10 Triangular numbers starting from 1 using MATLAB and display them as equilateral triangles of asterisks *** similar to the display in Figure 2. Using "plot" function. [10 Marks] Figure 2

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