excel

(a). Is it true that for all set of positive integers a, b, c. gcd(a,c) + gcd(b,c) = gcd(a + b,c). Explain (b) Is it true that there exist a set of positive integers a,b,c, such that gcd(a,c) + gcd(b,c) = gcd(a + b,c). Explain

(1) For all integers y, there is an integer x so that x^3 + x = y. (2)For all integers x, x^3 + x is even Thank you for your help.

1). Let G be the statement: " for all real numbers a and b, if a -|_a_| < 1/2 and b - |_b_| < 1/2 then |_a + b_| = |_a_| + |_b_|" (the symbol is for the FLOOR of a and b) A. is G true? prove it b. state wether the CONVERSE, CONTRAPOSITIVE AND NEGATION ARE...

1a) Prove that there exist irrational numbers a and b so that a^b is rational. look at the numbers √2^√2 and (√2^√2)^√2 1b) use similar idea to prove that there exists a rational number a and an irrational number b so that a^b is irrational 1c) prove that...

find the least positive integer N so that 1<gcd(N, 271) < gcd(N, 2014). Explain how you find N. Thanks for your help

Kindly help with this question. Thanks. Solve the following equation for x. -2/-3x - 7 - 3/2x - 1 = 3/2

Consider the function:(-2x^2 +3x -7) y= -2x^2x +3x +17 Find y ′ using implicit differentiation. Do not solve for y. What is the slope of the tangent at (x,y) = (−1,−1)? Find y ′ by solving for y and using the quotient rule. What is the slope of the tangen...

import java.util.Scanner; public class Names { public static void main (String[]args) { //declare variables String firstName, String middleName, String lastName, String monogram; // Create a scanner class Scanner input = new Scanner (System.in); System.ou...