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- (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.(Algebra: solve 2 X 2 linear equations) You can use Cramer's rule to solve the following 2 x 2 system of linear equations: ed – bf af – ec y bc ax + by = e X = cx + dy = f ad ad – bc Write a function with the following header: void solveEquation(double a, double b, double c, double d, double e, double f, double& x, double& y, bool& isSolvable) If ad – bc is 0, the equation has no solution and isSolvable should be false. Write a program that prompts the user to enter a, b, c, d, e, and f and displays the result. If ad – bc is 0, report that "The equation has no solution." See Program- ming Exercise 3.3 for sample runs.(Algebra: solve 2 x 2 linear equations) You can use Cramer's rule to solve the following 2 x 2 system of linear equation: ax + by = e ed – bf af- ec ad - bc cx + dy = f ad – bc y = Write a program that prompts the user to enter a and f and display the result. If ad - bc is 0 b, c, d , e, , report that The equation has no solution.
- Trigonometry: The basic MATLAB trigonometric functions are sin, cos, tan, cot, sec, and csc. The inverses, e.g., arcsin, arctan, etc., are cal- culated with asin, atan, etc. The same is true for hyperbolic functions. The inverse function at an2 takes two arguments, y and x, and gives the four- quadrant inverse tangent. The argument of these functions must be in radians. Calculate the following quantities: sin, cost, and tan. sin²+ cos². (Typing sin^2(x) for sin²x will produce an error). y cosh²z-sinh² x, with x = 32m.(Please don't copy) Give the function: var x = function(x, y) { return x * y; } Write down the missing characters in the equivalent function below: const x = (x, y) Answer x * y; can i get this in 5mins please id appreciate it its java btw(Don't copy) pop all flasksRandom, rand, 0, 50 `:: IfWinActive {WinActivateSendInput 2Sleep randSendInput 3Sleep randSendInput 4Sleep randSendInput 5Sleep randSendInput 1Sleep rand}return
- (GREATEST COMMON DIVISOR) The greatest common divisor of integers x and y is the largest integer that evenly divides into both x and y. Write and test a recursive function gcd that returns the greatest common divisor of x and y. The gcd of x and y is defined recursively as follows: If y is equal to 0, then gcd (x, y) is x; otherwise, gcd (x, y) is gcd (y, x % y), where % is the remainder operator.(In java) Lab6C: Cha-Ching For this lab, use a do-while loop.A sentinel loop is a loop (a special while loop or a do-while loop) that continues to process data until itreaches a specific value(s) that signals that it should stop looping; this special value(s) is usuallyindicated as the condition of the while or do-while loop. A good example of a sentinel loop is the whileloop that you had to write to verify user input in Lab6B, the special values were anything in the range of1 to 1000. Another very common application for this is allowing a user to rerun a program.Please write a very simple program that mimics a bank account. The program should start the user outwith $1000. The program should print out a welcome menu once with the options present for the user.The program should allow the user to make a deposit, withdrawal, and see their current balance.Every time the user deposits or withdraws, the program should show the user their new balance; itshould also ask the user if they want…(?, ?, ?) = ?? + (???) Use a table to express the values of each of these Boolean functions.
- (In Java) Mathletes Game! With the introduction of loops, we now know enough about programming to begincreating simple games. Our first game (sponsored by the KSU College of Science and Mathematics)will test your ability to solve multiplication problems.Your game will first ask the player if they want to play on easy or hard mode. Save their response inan appropriate variable (you will reference it later). Then, you will randomly generate two numbersand display them to the player in the form of a multiplication problem. The possible numbers willrange between -255 and 255.You will ask the player to solve the equation. You will keep creating multiplication questions until theplayer wins or loses.Based on whether the player chose “hard” or “easy” mode, the game will play a little differently.Refer to the following rules for the difference:Easy Mode Hard ModePlayer only has to answer 5 questions Player has to answer 10 questionsPlayer can try again if they get a question wrong(up to two…(Recursive Greatest Common Divisor) The greatest common divisor of integers x and y isthe largest integer that evenly divides both x and y. Write a recursive function gcd that returns thegreatest common divisor of x and y. The gcd of x and y is defined recursively as follows: If y is equalto 0, then gcd(x, y) is x; otherwise gcd(x, y) is gcd(y, x % y), where % is the remainder operator.(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.