Gx: G(x) Gtrue bool Gfalse: bool Gn: int Gelt1 G,x: t1e2: t2 Glet x el in e2: t2 Gel bool Ge2 bool Gel and e2: bool Ge: int Gel bool Ge2t Ge3: t Geq0 e bool Gif el then e2 else e3: t Using the typing rules above, determine if the following expressions are well-typed: Gx: G(x) Gtrue bool Gfalse: bool Gn: int Gelt1 G, xt1e2: t2 Glet x el in e2 t2 Gel bool Ge2 bool Gel and e2: bool Ge: int Geq0 e bool Gel bool Ge2t Ge3: t Gif el then e2 else e3: t What is the final type of the expression ego if true then 0 else 1? int bool true The expression is not well-typed.
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- Gx: G(x) Gtrue bool Gfalse: bool Gn: int Gelt1 G,x: t1e2: t2 Glet x el in e2: t2 Gel bool Ge2 bool Gel and e2: bool Ge: int Gel bool Ge2t Ge3: t Geq0 e bool Gif el then e2 else e3: t Using the typing rules above, determine if the following expressions are well-typed:C-Language The goal of this problem is to find the smallest integer in a list of numbers. To help you with this task, please write a function called min() that finds and returns the smallest amongst two integers (be sure to also write a prototype for this function). The function thus takes two integers as input and returns the smallest of the two. This function will use an if statement with a condition that contains either "less than" or "greater than". Next, please use min() in your main function to work your way through an entire list of numbers in order to find its minimum. The first number you read gives the number of elements in the list of integers under consideration. You will then read the integer values, using min() to keep only the smallest integer read at each step. In the end, please print out the smallest integer in the list. Example Input 104 3 6 2 6 8 9 8 5 4 Output 2Java function to Find whether a given number is a power of 4 or not Example : powerOfFourOrNot(2) -> false powerOfFourOrNot(16) -> true
- Interest on a credit card’s unpaid balance is calculated using the average daily balance. Suppose that netBalanceis the balance shown in the bill, paymentis the payment made, d1is the number of days in the billing cycle, and d2is the number of days payment is made before the billing cycle. Then the average daily balance is: averageDailyBalance = (netBalance * d1 –payment * d2) / d1 if the interest rate per month is say, 0.0152, then the interest on the unpaid balanceis: interest = averageDailyBalance * 0.0152 Design a program that accepts as input netBalance, payment, d1, d2, and interest rate per month. The program outputs the interest charged. Format your output to two decimal places. C++Re-write the following Factorial function using the Lambda expression static int Factorial(int number) { if (number < 1) { return 0; } else if (number == 1) { return 1; } else { unchecked { return number * Factorial(number - 1); } } }Explain the use of cast operator.
- When you borrow money to buy a house, a car, or for some other purpose, you repay the loan by making periodic payments over a certain period of time. Of course, the lending company will charge interest on the loan. Every periodic payment consists of the interest on the loan and the payment toward the principal amount. To be specific, suppose that you borrow $1,000 at an interest rate of 7.2% per year and the payments are monthly. Suppose that your monthly payment is $25. Now, the interest is 7.2% per year and the payments are monthly, so the interest rate per month is 7.2/12 = 0.6%. The first months interest on $1,000 is 1000 0.006 = 6. Because the payment is $25 and the interest for the first month is $6, the payment toward the principal amount is 25 6 = 19. This means after making the first payment, the loan amount is 1,000 19 = 981. For the second payment, the interest is calculated on $981. So the interest for the second month is 981 0.006 = 5.886, that is, approximately $5.89. This implies that the payment toward the principal is 25 5.89 = 19.11 and the remaining balance after the second payment is 981 19.11 = 961.89. This process is repeated until the loan is paid. Write a program that accepts as input the loan amount, the interest rate per year, and the monthly payment. (Enter the interest rate as a percentage. For example, if the interest rate is 7.2% per year, then enter 7.2.) The program then outputs the number of months it would take to repay the loan. (Note that if the monthly payment is less than the first months interest, then after each payment, the loan amount will increase. In this case, the program must warn the borrower that the monthly payment is too low, and with this monthly payment, the loan amount could not be repaid.)Х3: inlTol0 Write a function in Java that implements the following logic: Given a number n, return true if n is in the range 1..10, inclusive. Unless "outsideMode" is true, in which case return true if the number is less or equal to 1, or greater or equal to 10. Your Answer: 1 public boolean in1To10(int n, boolean outsideMode) 2 { 3 } H N M5. A prime number is a number that is only evenly divisible by itself and 1. For example, the number 5 is prime because it can only be evenly divided by 1 and 5. The number 6, how- ever, is not prime because it can be divided evenly by 1, 2, 3, and 6. Write a Boolean function named is_prime which takes an integer as an argument and returns true if the argument is a prime number, or false otherwise. Use the function in a program that prompts the user to enter a number then displays a message indicating whether the number is prime. 6. In another program, use the function you wrote in question 5 to print the prime numbers between 1 and 100 using for loop.
- //Test isEqual function cout << endl << "Testing isEqual function"; cout << endl << "------------------------" << endl; if (isEqual(s2, s3)) cout << "s2=\"" << s2 << "\" and s3=\"" << s3 << "\" are equal" << endl; else cout << "s2=\"" << s2 << "\" and s3=\"" << s3 << "\" are not equal" << endl; delete[] s3; s3 = getCopy(s2); if (isEqual(s2, s3)) cout << "s2=\"" << s2 << "\" and s3=\"" << s3 << "\" are equal" << endl; else cout << "s2=\"" << s2 << "\" and s3=\"" << s3 << "\" are not equal" << endl; bool isEqual(const charPtr s1, const charPtr s2){/*returns true if the cstring s1 is equal to the cstring s2Definition: Two c-strings s1 and s2 are equal if they have the same lengthand characters of s1 and s2 at corresponding indexes are the same.*/ }X3: inlTo10 Write a function in Java that implements the following logic: Given a number n, return true if n is in the range 1..10, inclusive. Unless "outsideMode" is true, in which case return true if the number is less or equal to 1, or greater or equal to 10.Summary Interest on a credit card's unpaid balance is calculated using the average daily balance. Suppose that netBalance is the balance shown in the bill, payment is the payment made, d1 is the number of days in the billing cycle, and d2 is the number of days payment is made before billing cycle. Then, the average daily balance is: averageDailyBalance = (netBalance * d1 payme If the interest rate per month is, say, 0.0152, then the interest on the unpaid balance is: interest averageDailyBalance * 0.0152 Instructions Write a program that accepts as input netBalance, d1, payment, d2, and interest rate per month ( interestRate).