Write a program that takes in a string from the user and stores it in a variable called 'word, and an integer which is stored in a variable called number: 1) Make sure that the number entered is in fact an integer 2) If the word has at least number amount of vowels then print the number(th) vowel. Otherwise print "Sorry this word only has X vowels. where X is the number of vowels in the word.

1 # Write a program that reads a single integer N from the user. 2 # It then prints the string: "Is N your favorite number?"

X609: Magic Date A magic date is one when written in the following format, the month times the date equals the year e.g. 6/10/60. Write code that figures out if a user entered date is a magic date. The dates must be between 1 - 31, inclusive and the months between 1 - 12, inclusive. Let the user know whether they entered a magic date. If the input parameters are not valid, return false. Examples: magicDate(6, 10, 60) -> true magicDate(50, 12, 600) –> false

Homework write a program that will add the terms of an infinite geometric series. The program should read the first term (a) and the common ratio (r) for the series. It should the compute the sum in two ways: by formula (s=a/1-r), and by adding the individual terms until the answer agrees with the formula to 7 significant digits. The print the formula answer, the answer found by adding terms, and the number of terms that were added. Print the sums to at least ten places. Verify input with a while loop. Two real values are equal to n significant digits if the following condition is true: |a-b|<|a*10^-n| Wrong test - this won't work if r is very near one. Try a=2, r=.99999 With smaller values of r, it is asking for too much precision. With a=2,r=.99, it is getting 10 significant digits. HELP ME FIX CODE. PLEASE USE MY CODE FIX #include <iostream>#include <cmath>using namespace std; int main(){    //declare variables    int terms;    double a, r, number, sumbyformula, sum2;…

Transient PopulationPopulations are affected by the birth and death rate, as well as the number of people who move in and out each year. The birth rate is the percentage increase of the population due to births and the death rate is the percentage decrease of the population due to deaths. Write a program that displays the size of a population for any number of years. The program should ask for the following data: The starting size of a population P The annual birth rate (as a percentage of the population expressed as a fraction in decimal form)B The annual death rate (as a percentage of the population expressed as a fraction in decimal form)D The average annual number of people who have arrived A The average annual number of people who have moved away M The number of years to display nYears Write a function that calculates the size of the population after a year. To calculate the new population after one year, this function should use the formulaN = P + BP - DP + A - Mwhere N is the…