In this problem, we will write a program to use a Monte Carlo simulation to approximate the area of the region of overlap of disks in the plane. Your program should take two command line arguments: the name of a file, and a long long int N representing the number of trials to conduct. The file will consist of an unknown number of lines, each with three doubles, separated by commas. The first two doubles on each line will represent the x and y coordinates respectively of a disk, and the third will represent its radius. The region of overlap is the set of points lying inside every one of the disks specified by the file. A Monte Carlo procedure to determine this area can be described very briefly as follows: (a) For N total trials, draw a point uniformly at random from a fixed large region S that contains all of the disks. (b) Determine the count of all trials for which the point randomly selected happened to lie within every one of the disks. (c) Calculate the probability that the randomly selected point happened to lie within every disk. (d) The area of the intersection of the disks will be approximately this probability multipled by the area of the region S. Report the result to the user using six decimal places of fixed precision. Some sample input files with approximate corresponding outputs are posted on Sakai. Note that your values are likely to vary from these due to the randomness involved.

Johnson enterprises uses a computer to handle its sales invoices. lately, business has been so good that it takes an extra 3 hours per night, plus every third saturday, to keep up with the volume of sales invoices. management is considering updating its computer with a faster model that would eliminate all of the overtime processing.

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."

Computer programming is one type of what career