Q1. GCD-Euclidean AlgorithmExecute the Euclidean Algorithm to compute the greatest common divisor of the numbers:1050 317Show the steps of the algorithm. For numbers X and Y (X> Y), each step should be in the formAnswer:x=qxY+r(0≤r

Set up a division problem (a ÷ b = ?) where a is larger than b.Do the division a ÷ b = c with…

Answered: Q1. GCD-Euclidean Algorithm Execute the…

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter6: Modularity Using Functions

Section: Chapter Questions

Problem 10PP

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(Data processing) a. Write an algorithm to locate the first occurrence of the name JEAN in a list of names arranged in random order. b. Discuss how you could improve your algorithm for Exercise 7a if the list of names were arranged in alphabetical order.
(Numerical) Determine and write an algorithm to sort four numbers into ascending (from lowest to highest) order.
(Computation) A magic square is a square of numbers with N rows and N columns, in which each integer value from 1 to (N * N) appears exactly once, and the sum of each column, each row, and each diagonal is the same value. For example, Figure 7.21 shows a magic square in which N=3, and the sum of the rows, columns, and diagonals is 15. Write a program that constructs and displays a magic square for a given odd number N. This is the algorithm:
A(n) __________ is an array of characters.
A(n) __________ contains 8 __________.
18. Tom and Jerry opened a new lawn service. They provide three types of services: mowing, fertilizing, and planting trees. The cost of mowing is $35.00 per 5,000 square yards, fertilizing is $30.00 per application, and planting a tree is $50.00. Write an algorithm that prompts the user to enter the area of the lawn, the number of fertilizing applications, and the number of trees to be planted. The algorithm then determines the billing amount. (Assume that the user orders all three services.) (9)
(Data processing) The answers to a true-false test are as follows: T T F F T. Given a twodimensional answer array, in which each row corresponds to the answers provided on one test, write a function that accepts the two-dimensional array and number of tests as parameters and returns a one-dimensional array containing the grades for each test. (Each question is worth 5 points, so the maximum possible grade is 25.) Test your function with the following data:
15. Write a program to implement and test the algorithm that you designed for Exercise 15 of Chapter 1. (You may assume that the value of . In your program, declare a named constant PI to store this value.)
(Numerical) Write and test a function that returns the position of the largest and smallest values in an array of double-precision numbers.
(Data processing) Your professor has asked you to write a C++ program that determines grades at the end of the semester. For each student, identified by an integer number between 1 and 60, four exam grades must be kept, and two final grade averages must be computed. The first grade average is simply the average of all four grades. The second grade average is computed by weighting the four grades as follows: The first grade gets a weight of 0.2, the second grade gets a weight of 0.3, the third grade gets a weight of 0.3, and the fourth grade gets a weight of 0.2. That is, the final grade is computed as follows: 0.2grade1+0.3grade2+0.3grade3+0.2grade4 Using this information, construct a 60-by-7 two-dimensional array, in which the first column is used for the student number, the next four columns for the grades, and the last two columns for the computed final grades. The program’s output should be a display of the data in the completed array. For testing purposes, the professor has provided the following data:
(Heat transfer) The formula developed in Exercise 5 can be used to determine the cooling time, t, caused only by radiation, of each planet in the solar system. For convenience, this formula is repeated here (see Exercise 5 for a definition of each symbol): t=Nk2eAT3fin A=surfaceareaofasphere=4r2 N=numberofatoms=volumeofthespherevolumeofanatom Volume of a sphere sphere=43radius3 The volume of a single atom is approximately 11029m3 . Using this information and the current temperatures and radii listed in the following chart, determine the time it took each planet to cool to its current temperature, caused only by radiation.
Redo Programming Exercise 8 using dowhile loops.

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Q1. GCD-Euclidean Algorithm Execute the Euclidean Algorithm to compute the greatest common divisor of the numbers: 1050 317 Show the steps of the algorithm. For numbers X and Y (X> Y), each step should be in the form Answer: x=qxY+r (0≤r