Recent content by chief12

Homework Statement How many elements of order 4 are in S6? (symmetric group with order 6) Homework Equations The Attempt at a Solution So, the different forms of elements with order 4 in S6 are (abcd)(ef), (abcd) from there I am sunk on how to calculate. I know there are...

can you explain more, a bit lost, test tomorrow

I don't know what that means, please explain... test tomorrow

\for some reason it quoted wrong i guess, it said f'(x) = f'(0)f(x)

Homework Statement suppose f: [a,b] ---> Q is continuous on [a,b]. prove that f is constant on [a,b]. Homework Equations The Attempt at a Solution Since there is at least one irrational number between every two rational numbers, then for f to be continuous in the given scenario...

Homework Statement part 1)Show the function a(x)=|x| is a continuous function from R to R; part 2) Prove that if the functions f: D--> R is continuous at x=a, then l f l (absolute value of f) is also continuous at x=a. Homework Equations The Attempt at a Solution part 1)...

Homework Statement function f is differentiable when x=0, f'(0) is not equal to zero for all real Numbers f(a+b) = f(a)f(b) show f'(x) = f'(0)f(x)Homework Equations The Attempt at a Solution f(x+0) = f(x) = f(x)f(0) this shows f(0) = 1 then i get stuck..

Homework Statement function f is differential when x=0, f'(0) is not equal to zero for all a,b(real Numbers) f(a+b) = f(a)f(b) show f'(x) = f'(x)f(x) Homework Equations The Attempt at a Solution f(a+b) = f(a)f(b) for all a,b(real numbers) f(0), a+b=0 then f(0) =...

Homework Statement for function f:[a,b]--> Q is continuous on [a,b], prove that f is constant on [a,b] Homework Equations The Attempt at a Solution proof by contradiction, suppose there is a k, such that a<k<b, since f is continuous on [a,b], there must be a j...