The domain of discourse is the natural numbers. Let (x, y, z) = "z is the product of x and y". Define each of the following in terms of . You may also use = in your formula to compare numbers for equality. (A) Write a formula that means "there exists an x that is the multiplicative identity". Recall that a multiplicative identity is a number that leaves unchanged any number by which it is multiplied. (B) Let n be some (fixed) positive integer. Write a formula that means "n is a prime number". Note that n should not be quantified in your formula because it is already a fixed value. (Added challenge: use your multiplicative identity formula). Recall that a prime number is a natural number greater than 1 cannot be evenly divided by any natural numbers other than 1 and itself. (C) Write a formula that symbolizes the commutative property for the multiplication of integers (i.e. x y = y x). (D) Write a formula that symbolizes the associative law for the multiplication of integers (i.e. x (y z) = (x y) z)