C++ for Engineers and Scientists
4th Edition
ISBN: 9781133187844
Author: Bronson, Gary J.
Publisher: Course Technology Ptr
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(Perfect Numbers) An integer number is said to be a perfect number if its factors, including1 (but not the number itself), sum to the number. For example, 6 is a perfect number because 6 =1 + 2 + 3. Write a function isPerfect that determines whether parameter number is a perfect number. Use this function in a program that determines and prints all the perfect numbers between 1and 1000. Print the factors of each perfect number to confirm that the number is indeed perfect.Challenge the power of your computer by testing numbers much larger than 1000.
(Hypotenuse) Define a function hypotenuse that calculates the length of the hypotenuse of a right triangle when the other two sides are given. Use this function in a program to determine the length of the hypotenuse for each of the triangles shown below. The function should take two double arguments and return the hypotenuse as a double. Sample output Enter 2 sides of right triangle: 3.0 4.0 Hypotenuse: 5.0 Enter 2 sides of right triangle: 5.0 12.0 Hypotenuse: 13.0 Enter 2 sides of right triangle: 8.0 15.0 Hypotenuse: 17.0
(Square of Asterisks) Write a function that displays a solid square of asterisks whose side isspecified in integer parameter side. For example, if side is 4, the function displays:
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- (Wattan Corporation) is an Internet service provider that charges customers a flat rate of $7.99 for up to 10 hours of connection time. Additional hours or partial hours are charged at $1.99 each.Write a function charges that computes the total charge for a customer based on the number of hours of connection time used in a month. The function should also calculate the average cost per hour of the time used (rounded to the nearest 0.01), so use two output parameters to send back these results.You should write a second functionround_money that takes a real number as an input argument and returns as the function value the number rounded to two decimal places. Write a main function that takes data from an input file usage.txt and produces an output file charges.txt. The data file format is as follows:Line 1: current month and year as two integersOther lines: customer number (a five-digit number) and number of hours usedHere is a sample data file and the corresponding output file:Data file…arrow_forward(Use Python) The function course_average should calculate and return the average of the three values pass to it. The function main should ask the user to enter three grades and then pass these values to the course_average function. This function should also display a message to the user in the format below. For example, if the user entered 100, 90 and 95 the message would be:The average of 100 , 90 and 95 is 95arrow_forward(Wattan Corporation) is an Internet service provider that charges customers a flat rate of $7.99 for up to 10 hours of connection time. Additional hours or partial hours are charged at $1.99 each. Write a function charges that computes the total charge for a customer based on the number of hours of connection time used in a month. The function should also calculate the average cost per hour of the time used (rounded to the nearest 0.01), so use two output parameters to send back these results. You should write a second function round_money that takes a real number as an input argument and returns as the function value the number rounded to two decimal places. Write a main function that takes data from an input file usage.txt and produces an output file charges.txt. The data file format is as follows: Line 1: current month and year as two integers Other lines: customer number (a five-digit number) and number of hours used Here is a sample data file and the corresponding output file:…arrow_forward
- (Perfect Numbers) An integer is said to be a perfect number if the sum of its divisors, including 1 (but not the number itself), is equal to the number. For example, 6 is a perfect number, because 6=1+2+3. Write a functionisPerfect that determines whether parameter number is a perfect number. Use this function in a program that determines and prints all the perfect numbers between 1 and 1000. Print the divisors of each perfect number to confirm that the number is indeed perfect. Challenge the power of your computer by testing numbers much larger than 1000.arrow_forward(Exponentiation) Write a function integerPower(base, exponent) that returns the value ofbaseexponentFor example, integerPower(3, 4) = 3 * 3 * 3 * 3. Assume that exponent is a positive, nonzero integer, and base is an integer. Function integerPower should use for to control the calculation. Donot use any math library functions.arrow_forward(Algebra: solve quadratic equations) The two roots of a quadratic equation ax? + bx + x = 0 can be obtained using the following formula: -b + VB - 4ac -b - Vb - 4ac and r2 2a 2a Write a function with the following header void solveQuadraticEquation(double a, double b, double c, double& discriminant, double& rl, double& r2) b² - 4ac is called the discriminant of the quadratic equation. If the discriminant is less than 0, the equation has no roots. In this case, ignore the value in rl and r2. Write a test program that prompts the user to enter values for a, b, and c and dis- plays the result based on the discriminant. If the discriminant is greater than or equal to 0, display the two roots. If the discriminant is equal to 0, display the one root. Otherwise, display "the equation has no roots". See Programming Exercise 3.1 for sample runs.arrow_forward
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