12. Calculating the Factorial of a Number In mathematics, the notation n! represents the factorial of the nonnegative integer n. 1 he factorial of n is the product of all the nonnegative integers from 1 to n. For example, 7! = 1 × 2 × 3 x 4 X 5 X 6 × 7 = 5,040 and 4! = 1 x 2 X 3 X 4 = 24 Write a program that lets the user enter a nonnegative integer then uses a loop to calculate the factorial of that number. Display the factorial.
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Max Function
Statistical function is of many categories. One of them is a MAX function. The MAX function returns the largest value from the list of arguments passed to it. MAX function always ignores the empty cells when performing the calculation.
Power Function
A power function is a type of single-term function. Its definition states that it is a variable containing a base value raised to a constant value acting as an exponent. This variable may also have a coefficient. For instance, the area of a circle can be given as:
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- uppose you have a certain amount of money in a savings account that earns compoundmonthly interest, and you want to calculate the amount that you will have after a specificnumber of months. The formula, which is known as the future value formula, is:F=P×(1+i)tThe terms in the formula are as follows:o F is the future value of the account after the specified time period.o P is the present value of the account.o i is the monthly interest rate.o t is the number of months.Write a program that prompts the user to enter the account’s present value, monthlyinterest rate, and the number of months that the money will be left in the account. Theprogram should pass these values to a function named futureValue that returns thefuture value of the account, after the specified number of months. The program shoulddisplay the account’s future value. i attached the screenshot of the output so the output should look like that. the coding should be in c++Brute force equation solver this is python program. Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y = 38 and 3x - 5y = -1 have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range -10 to 10. Ex: If the input is: 8 7 38 3 -5 -1 Then the output is: 3 2 Use this brute force approach: For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish. Ex: If no solution is found, output: No solution You can assume the two equations have no more than one solution. Note: Elegant mathematical techniques exist to solve such linear equations. However, for other kinds of equations or situations, brute force can be handy. ''' Read in first equation, ax + by = c '''a = int(input())b = int(input())c = int(input()) ''' Read in…Discrete Mathematics: Assignment details: Replace all the 0 (Zero) digits in your ID by 4. Example: If your ID is 38104680, it becomes 38144684 Take the first 6 digits and substitute them in this expression (( A + B) / C) * ((D-E)/F)-2) according to the following table; Letter Replace by Digit Example Digit A 1st 3 B 2nd 8 C 3rd 1 D 4th 4 E 5th 4 F 6th 6 After substitution your expression will be similar to this (( 3 + 8) / 1) * ((4-4)/6)-2). Draw a rooted tree that represents your expression. What is the prefix form of this expression. 3.What is the value of the prefix expression obtained in step 2 above?
- Credit Card Number Check. The last digit of a credit card number is the check digit, which protects against transcription errors such as an error in a single digit or switching two digits. The following method is used to verify actual credit card numbers but, for simplicity, we will describe it for numbers with 8 digits instead of 16:• Starting from the rightmost digit, form the sum of every other digit. For example, if thecredit card number is 4358 9795, then you form the sum 5 + 7 + 8 + 3 = 23.• Double each of the digits that were not included in the preceding step. Add all digits ofthe resulting numbers. For example, with the number given above, doubling the digits,starting with the next-to-last one, yields 18 18 10 8. Adding all digits in these valuesyields 1 + 8 + 1 + 8 + 1 + 0 + 8 = 27.• Add the sums of the two preceding steps. If the last digit of the result is 0, the number isvalid. In our case, 23 + 27 = 50, so the number is valid.Write a program that implements this…# NumberFun.py # using multiple functions. # copy/paste this program to run it first, you are supposed to use Google Chrome as Internet Browser for this course. # 1. calculate sum of the first n natural numbers, e.g.:1,2,3,... def totalN(n): totalN = 0 for i in range(1,n+1): totalN = totalN + i return totalN # 2. calculate sum of the cube of the first m natural numbers, e.g.:1,8,27,... ### After you define/write/complete the function totalMCube(m), remove the # sign as below to ENABLE next line of code ###def totalMCube(m):### YOUR TURN TO DEFINE/WRITE/COMPLETE function totalMCube(m) as below, based on totalN(n) # 3. call two functions defined previously within main() function def main(): print("This program computes the total and total of cubes of the first") print("N/M natural numbers.\n") n,m = input("Please enter a value for N and M: ").split(",") print("The total of the first", n, "natural numbers is", totalN(int(n)))### After you define/write/complete the function totalMCube(m),…Credit Card Number Check. The last digit of a credit card number is the check digit, which protects against transcription errors such as an error in a single digit or switching two digits. The following method is used to verify actual credit card numbers but, for simplicity, we will describe it for numbers with 8 digits instead of 16:• Starting from the rightmost digit, form the sum of every other digit. For example, if thecredit card number is 4358 9795, then you form the sum 5 + 7 + 8 + 3 = 23.• Double each of the digits that were not included in the preceding step. Add all digits ofthe resulting numbers. For example, with the number given above, doubling the digits,starting with the next-to-last one, yields 18 18 10 8. Adding all digits in these valuesyields 1 + 8 + 1 + 8 + 1 + 0 + 8 = 27.• Add the sums of the two preceding steps. If the last digit of the result is 0, the number isvalid. In our case, 23 + 27 = 50, so the number is valid.Write a program that implements this…
- NumberFun.py # using multiple functions. # copy/paste this program to run it first, you are supposed to use Google Chrome as Internet Browser for this course. # 1. calculate sum of the first n natural odd numbers, e.g.:1,3,5,7,9... def totalN(n): totalN = 0 for i in range(1,2*n+1,2): totalN = totalN + i return totalN # 2. calculate sum of the square of the first m natural odd numbers, e.g.:1,9,25,49,81... ### After you define/write/complete the function totalMSquare(m), remove the # sign as below to ENABLE next line of code #def totalMSquare(m):### YOUR TURN TO DEFINE/WRITE/COMPLETE function totalMSquare(m) as below, based on totalN(n) Please based on the first function, add more statements for the second function. You can copy/paste the sample program to run and see how it works to make sense first. 2. Don't delete the statements/codes/comments for this program, but just add more statements for the second function. (if deleted, points will be deducted.)Coral Help Primary U.S. interstate highways are numbered 1-99. Odd numbers (like the 5 or 95) go north/south, and evens (like the 10 or 90) go east/west. Auxiliary highways are numbered 100-999, and service the primary highway indicated by the rightmost two digits. Thus, the 405 services the 5, and the 290 services the 90. Given a highway number, indicate whether it is a primary or auxiliary highway. If auxiliary, indicate what primary highway it serves. Also indicate if the (primary) highway runs north/south or east/west. Ex: If the input is: 90 the output is: The 90 is primary, going east/west. Ex: If the input is: 290 the output is: The 290 is auxiliary, serving the 90, going east/west. Ex: If the input is: 0 or any number not between 1 and 999, the output is: 0 is not a valid interstate highway number.# NumberFun.py # using multiple functions. # copy/paste this program to run it first, you are supposed to use Google Chrome as Internet Browser for this course. # 1. calculate sum of the first n natural numbers, e.g.:1,2,3,... def sumN(n): sumN = 0 for i in range(1,n+1): sumN = sumN + i return sumN # 2. calculate sum of the square of the first m natural numbers, e.g.:1,4,9,... ### After you define/write/complete the function sumMSquare(m), remove the # sign as below to ENABLE next line of code ####def sumMSquare(m):### YOUR TURN TO DEFINE/WRITE/COMPLETE function sumMSquare(m) as below, based on sumN(n) # 3. call two functions defined previously within main() function def main(): print("This program computes the total and total of squares of the first") print("N/M natural numbers.\n") n,m = input("Please enter a value for N and M: ").split(",") print("The total of the first", n, "natural numbers is", sumN(int(n)))### After you define/write/complete the function sumMSquare(m), remove…
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