I want perfect ans for the above question

I want perfect ans for the above question

Question 1. For each of the following statements, write the negated statement. Then, answer if the original statement is true or false. (a) ∀x∈R,∀y∈R,[x2=y2] =⇒[∃s∈{1,−1}, xs=y] (b) ∀p ∈ P4\P3,...

If x+y+z=3 , x2+y2+z2=4, and x3+y3+z3=5 what is x, y, and z? I found that none of them can be equal or greater than 2.

Can anyone help me solving this problem, Im really really lost. Thank you

How to do this, please help me. Thank you very much!

I didnt understand Let say X = 2a +1 while y = 2b+1 Why you need to multiply xy rather x+y, as you can see below: XY = (2a+1)(2y+1) <- correct X+Y...

Given two positive integers n and k with the same parity, count the number of sets S = { 0< s1 < s2 < ... < sk = n }, such that s1, s3, ... are odd numbers and s2, s4, ... are even nu...

Suppose f: integer(z) to integer(z) is a function with the property that f(a+b) = f(a) + f(b) for every two integers a and b. Prove that if f(c) is even for some odd integer c then f(x) is...

Suppose f: integer(z) to integer(z) is a function with the property that f(a+b) = f(a) + f(b) for every two integers a and b. Prove that if f(c) is even for some odd integer c then f(x) is...

Deﬁne f(x) : P({a,b,c}) →N as follows: for all A ∈P({a,b,c}), f(A) = the number of elements in A. ( P is a power set.) Is f one-to-one? Prove or give a counterexample. Is f onto? Prove...

discrete mathematic

For all positive integers m and n, with m<n if m divides (35n) then either m divides 35 or m divides n

I need help

1. Define the following predicates: [6] R(x) : “x is a right angle triangle.” O(x) : “x has an obtuse angle.” Now consider the following statments: S = ¬∃x(R(x) ∧ O(x)) T...

The following problem consists of an assertion and a ‘proof’. Identify any error(s) in the ‘proof’. If there are errors but the assertion is true, provide a correct proof. Otherwise, provide a counter-example...

4, 12, 20, 28, 36, 44, 52, 60 f(n) =___ans________

Q(n) = {0 ...

Every year, Alice gets a raise of $3,000 plus 6% of her previous year's salary. Her starting salary is $20,000. Give a recurrence relation for S(n), Alice's salary after n years, for n ≥ 0. S(n)...

Determine all elements A={1+1(-n)2/ n E n}

prime numbers a={xEz+//x+2<5-} determine all elements

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