Earlier in this course, you have learnt to calculate the van Der Waals equations of state (EOS) in the scalar form. Now we are going to examine two different ways to compute this set of equations. As a revision, you may recall that equations may be solved using (1) the vector approach and (2) the FOR loop. Start with the following code, which solve the van Der Waals equation using the vector approach. % Azir Asid, 11166.202110 clear ; clc R = 9.91 ; T = 210.0 ; Tc = [208.65, 202.8, 203.27, 203.88, 209.27] ; Pc = [5.46, 7.76, 3.06, 2.94, 3.36] ; Vm = [1590.0, 1240.0, 1880.0, 1550.0, 1430.0] ; % NOTE: the dots in the equation assignments for a, b, and p below. a = 27 * (R * Tc) .^ 2 ./ (64 * Pc) ; b = (R * Tc) ./ (8 * Pc) ; P = ((R * T) ./ (Vm - b)) - a ./ (Vm .^ 2) ; % the answer will be a vector answer instead of a scalar P Recall that the van Der Waals equations are defined as:

Write a program that displays the following menu: geometry calculator 1. calculate the area of a circle 2. calculate the area of a rectangle 3. calculate the area of a triangle 4. quit enter your choice (1-4): if the user enters 1, the program should ask for the radius of the circle and then display its area. use the following formula: area = ď€(the square of r) use 3.14159 for ď€ and the radius of the circle for r. if the user enters 2, the program should ask for the length and width of the rectangle and then display the rectangle’s area. use the following formula: area = length * width if the user enters 3, the program should ask for the length of the triangle’s base and its height, and then display its area. use the following formula: area = base * height * .5 if the user enters 4, the program should end. input validation: display an error message if the user enters a number outside the range of 1 through 4 when selecting an item from the menu. do not accept negative values for the circle’s radius, the rectangle’s length or width, or the triangle’s base or height. note: if the user enters an improper menu choice (1-4), the program prints "the valid choices are 1 through 4. run the program again and select one of those." if the user enters a negative radius, the program prints "the radius can not be less than zero." if the user enters a negative value for height or base, the program prints "only enter positive values for base and height."