Machine Problem 3. Create a program that can solve "n" unknowns of "n" sets of linear equations. Variable "n" must be inputted by the user, i.e, n<=100. Use Gauss-Jordan method. Each step (S-I-N-E) should be displayed in the output window only if n <= 6.
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Machine Problem 3. Create a
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- Problem Description: In the Whimsical Library, each book is enchanted with a magical code to ensure the protection of knowledge. The validation process for these magical codes involves a combination of mathematical spells. The validation process is described as follows: Take the sum of the digits at odd positions from left to right. Take the sum of the squared digits at even positions from left to right. If the absolute difference between the results from step 1 and step 2 is a prime number, the book code is considered valid; otherwise, it is invalid. Example 1: Consider the magical book code 86420137. Step 1. Take the sum of the digits at odd positions from left to right. 8+4+0+3=15 Step 2. Take the sum of the squared digits at even positions from left to right. 6^2+2^2+1^2+7^2=36+4+1+49 = 90 Step 3. If the absolute difference between the results from step 1 and step 2 is a prime number. 115-901 75 (not a prime number) Book code 86420137 is invalid. Example 2: Now, let's examine the…Airline companies apply baggage restrictions for their passengers. An airline company has decided to apply a 10kg limitation for passengers' hand luggage and 20kg for their normal baggage. When passengers arrive, they enter their hand and normal luggage weight from the keyboard. If passengers exceed their normal baggage allowance of 10 dollars per gram, they pay 12 dollars per kg. Accordingly, write the program that calculates the baggage price of the airline they will go to according to the baggage values entered by the arriving passenger and keeps this from closing the program for each passenger. Note: If hand and normal baggage allowances are stretched below the maximum value, the payment amount will be considered not negative. An example printout is given on the right. Geri bildirim gönderSuppose two line segments intersect. The two endpoints for the first line segment are (x1, y1) and (x2, y2) and for the second line segment are (x3, y3) and (x4, y4). Write a program that prompts the user to enter these four endpoints and displays the intersecting point. As discussed in Programming Exercise 3.250, the intersecting point can be found by solving a linear equation. Use the LinearEquation class in Programming Exercise 9.11 to solve this equation.
- Problem Description: The bird of paradise called the Helipixsal is renowned for its magnificent tail feathers which range in number from five to nine ornate feathers each of a different length. Their "magnificence" is quantified by the rather simple process of counting the exact number of tail feathers and multiplying this by the difference in the length of the minimum and maximum lengths of tail feather. You are to write a simple program that will allow the user to enter the length of each tail feather individually and keep on entering feathers until a -1 is entered. The program will then return the quantified "magnificence" factor.(Statistics) This is the formula for the standard normal deviate, z, used in statistical applications: z=(X)/ X is a single value. refers to an average value. refers to a standard deviation. Using this formula, you need to write a program that calculates and displays the value of the standard normal deviate when X=85.3,=80,and=4. a. For this programming problem, how many outputs are required? b. How many inputs does this problem have? c. Determine a formula for converting input items into output items. d. Test the formula written for Exercise 7c, using the data given in the problem.discrete math programing python or c++ the range of values is from 0 to 5 Let Q(x, y) denote “x + y = 5” The domain of x and y is from range 0 to 5 . Implement the code that outputs the truth values of the following quantifications: 1. ∀x ∀y Q(x, y) 2. ∀x ∃y Q(x, y) **Display values of variables x and y if the quantification is true.
- Programming Language: C++ Develop a Tic Tac Toe game that will match a player against the computer. Do’s: Use a typical 3 x 3 board. The horizontal axis should be labeled A, B, C. The vertical axis should be labeled 1, 2, 3. For Example: the attatched picture. Use User-Defined Functions. Use Branching. Use Loops. Use String functions. Randomly determine who will move first, the human or computer. Assign O to the computer and X to the Human player. Ask the user to select their move using the horizontal and vertical position. For example: A1 for the upper left square, or B2 for the center square. After each move, redraw the board with the X’s and O’s in the right positions. After each game, ask the user if they want to play again. If they do, start the game again. Do not’s: Don’t use User Classes or Objects Don’t use imagesProblem #3: Write a program that reads the width, height and a character from the user, then calculates the perimeter of the rectangle if the character is 'P' or the area of the rectangle if the character is 'A'. The program should prints 'Wrong character' if the character is different than "P" and 'A'. The program keeps reading values until the user decides to stop. The perimeter of a rectangle; p= 2(w +h). The area of a rectangle; a = w x h. Sample Run: Enter the width and height: 6 6 Enter a character: A The area is 36.0 Do you want to continue? [N to stop]: y Enter the width and height: 3 4 Enter a character: P The perimeter is 14.0 Do you want to continue? [N to stop]: Y Enter the width and height: 3 4 Enter a character: C Wrong character Do you want to continue? [N to stop]: Y Enter the width and height: 3 4 Enter a character: A The area is 12.0 Do you want to continue? [N to stop]: NProblem-1: Check if an integer is Prime An integer greater than 1 is prime if its only positive divisor is 1 or itself. For example, 2, 3, 5, and 7 are prime numbers, but 4, 6, 8, and 9 are not. Key idea: To test whether a number is prime, check whether it is divisible by 2, 3, 4, and so on up to number/2. If a divisor is found, the number is not a prime. The algorithm can be described as follows: Use a boolean variable isPrime to denote whether the number is prime; Set isPrime to true initially; for (int divisor = 2; divisor <= number / 2; divisor++) { if (number % divisor == 0) { Set isPrime to false Exit the loop; } }
- Problem 2: Multiple stages There are only two rest days in the Tour de France. You will now write a program to calculate the remaining distance before the rest day after each stage. Riders will rest after they finish the fifth stage.Your program will read five distances AS INTEGERS, one for each stage in order. After, you will read the total time of all five days. You will then print how many kilometres are left after each stage and the rider's average speed (in km/h) after all inputed stages, according to the example below.InputYou will read from the use the following (in order):• 5 distances one of each stage• The rider's total time across all stagesOutputEnd of first stage, {distance}km left until rest dayEnd of second stage, {distance}km left until rest dayEnd of third stage, {distance}km left until rest dayEnd of fourth stage, {distance}km left until rest day--REST--Average speed across the five days: {speed} km/hExample:Input Output…Example6: If AL=55 , BL=AA Find the result of the following program - AND AL,BL OR AL,BL XOR AL,BLMATLAB QUESTION - As of 2018, the population of "A city" is 646 thousand and the population of "B city" is 269 thousand. While the population of "A city" decreases by 7.1% every year, the population of "B city" increases by 12.9%. According to this information, write a program that calculates the year in which the population of "B city" passed the population of "A city".
