. Say for each of the following sets of statements if they are consistent or inconsistent. A.G Ↄ H / H Ↄ J / J Ↄ K/ K Ↄ ~G b. P ≡ Q / Q v P / P Ↄ X / Q Ↄ ~P c. Z Ↄ [(P ● R) v (L ● P)] / ~P Ↄ ~Z / L Ↄ~ R
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3
5. Say for each of the following sets of statements if they are consistent or inconsistent.
A.G Ↄ H / H Ↄ J / J Ↄ K/ K Ↄ ~G
b. P ≡ Q / Q v P / P Ↄ X / Q Ↄ ~P
c. Z Ↄ [(P ● R) v (L ● P)] / ~P Ↄ ~Z / L Ↄ~ R
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- Use C++ A year in the modern Gregorian Calendar consists of 365 days. In reality, the earth takes longer to rotate around the sun. To account for the difference in time, every 4 years, a leap year takes place. A leap year is when a year has 366 days: An extra day, February 29th. The requirements for a given year to be a leap year are: 1) The year must be divisible by 4 2) If the year is a century year (1700, 1800, etc.), the year must be evenly divisible by 400 Some example leap years are 1600, 1712, and 2016. Write a program that takes in a year and determines whether that year is a leap year. Ex: If the input is: 1712 the output is: 1712 is a leap year. Ex: If the input is: 1913 the output is: 1913 is not a leap year. Your program must define and call the following function. The function should return true if the input year is a leap year and false otherwise.bool IsLeapYear(int userYear)GIVEN: E -> E – T | T T -> T+F | T*F | T/F | F F -> (E) | Int QUESTION : State the associativity of 4 operators??The great circle distance is the distance between two points on the surface of a sphere. Let (x1, y1) and (x2, y2) be the geographical latitude and longitude of two points. The great circle distance between the two points can be computed using the following formula: d = radius * arccos(sin(x 1) * sin(x 2) + cos(x 1) * cos(x 2) * cos(y1 - y2)) Write a program that prompts the user to enter the latitude and longitude of two points on the earth in degrees and displays its great circle distance. The average earth radius is 6,371.01 km. Note that you need to convert the degrees into radians using the math.radians function since the Python trigonometric functions use radians. The latitude and longitude degrees in the formula are for north and west. Use negative to indicate south and east degrees.
- Using C++ common year in the modern Gregorian Calendar consists of 365 days. In reality, Earth takes longer to rotate around the sun. To account for the difference in time, every 4 years, a leap year takes place. A leap year is when a year has 366 days: An extra day, February 29th. The requirements for a given year to be a leap year are: 1) The year must be divisible by 4 2) If the year is a century year (1700, 1800, etc.), the year must be evenly divisible by 400 Some example leap years are 1600, 1712, and 2016. Write a program that takes in a year and determines the number of days in February for that year. Ex: If the input is: 1712 the output is: 1712 has 29 days in February. Ex: If the input is: 1913 the output is: 1913 has 28 days in February. Your program must define and call the following function. The function should return the number of days in February for the input year. int DaysInFeb(int userYear) #include <iostream>using namespace std; /* Define your function here…6.use c code to Develop a code that gets two integers from the user and calculates and prints their least common multiplier or LCM. LCM is the smallest number that divides both given integers. Example. lcm (10, 15) = 30, lcm (5,7) = 35 and lcm (12, 24) = 24Hint: we know that lcm(x,y) = xy/gcd(x,y) where gcd is the greatest common divisor (discussed in class). Develop a gcd function in your code, get the two numbers from the user, call your function to calculate their gcd and then use the formula above to calculate and display their lcm GOOD LUCK! Reference This is a list of function prototypes of the C library functions presented in class. You may use any of these functions in your solutions (unless the requirements explicitly indicate otherwise). As you have been provided the function prototypes, you are expected to use the functions correctly in your solutions. double atof(char *string); int atoi(char *string); long atol(char *string); int fclose(FILE *filePointer); char *fgets(char…Let x, y, and z be True statements, and a, b, and c be False statements. If (x m) V (y ^ b) = False, then m =
- 35 of 40 Consider R(A1,A2,A3,A4,A5, A6) with FDs: F = {A1 → A5, A2 → A1, A3A4 → A5, A5A6 → A2, A3 → A4, A5 → As} Which of the following statements is CORRECT? Note: "F = X → Y" means the FD X → Y follows from F. Select one: OFHA3 → A1 All of the four statements None of the four statements O F=A2 → A3 FEA1 → A4 O F= A5 → A4b) What is the difference between (x+H), (x+-), and (--x). c) Write the purpose for the use of the following: =, |I, //6) Given i and j, two variables of type double. Which of the following statements declares a double variable s and assigns ² + j² to it, if i and j are assigned positive values? && j>0) double s =Meth.pow(i,2) + Math.pow(j,2) ; double s-Math.sqrt(i,2)+Math.sgrt(j,2); rMath. pow(i,2)>0 && Math.pow(j,2) >0) le s-Math.pow(i,2) - Math.pow(0,2): -Mech.pow(,2)-Math.pow(,2) ctivat o to Se
- #5.Incorrect gurantee downvote. Euler's totient function, also known as phi-function ϕ(n),counts the number of integers between 1 and n inclusive,which are coprime to n.(Two numbers are coprime if their greatest common divisor (GCD) equals 1)."""def euler_totient(n): """Euler's totient function or Phi function. Time Complexity: O(sqrt(n)).""" result = n for i in range(2, int(n ** 0.5) + 1): if n % i == 0: while n % i == 0: n //= i.3. Let K(x) be the statement “x has a pet koala,” let G(x) be the statement “x has a gazelle," let U(x) be the statement "x has a unicorn," and let F(x) be the statement "x has a farm." Express each of these statements in terms of K(x), G(x), U(x), F(x), quantifiers, and logical connectives. Let the domain consist of all people. (a) Everyone owns a gazelle or a unicorn. (b) Any person who does not own a farm cannot own a koala, gazelle, or unicorn. (c) No one owns a gazelle, but everyone owns a koala. (d) Some people own both a unicorn and a farm, but not all people own both a koala and a gazelle. (e) Each type of animal (koala, gazelle, unicorn) is owned by at least one person.Use Python for this question: Write function vowelCount() that ues a string as input and counts and prints the number of occurrences of vowels in the string. >>> vowelCount('Le Tour de France') a, e, i, o, and u appear, respectively, 1, 3, 0, 1, 1 times. only the numbers change easy to count individual vowels Output for this question: >>> vowelCount('Le Tour de france')a, e, i, o, and u appear, respectively, 1, 3, 0, 1, 1 times.>>> vowelCount('The quick red fox jumped over the lazy brown dog.')a, e, i, o, and u appear, respectively, 1, 5, 1, 4, 2 times.>>> vowelCount('zmrzlna')a, e, i, o, and u appear, respectively, 1, 0, 0, 0, 0 times.>>>