Absolute value Definition and 365 Threads

Hi all, I have the following question. Are the following spaces homeomorphic in the real number space with absolute value topology? 1) [a,b) and (a,b] 2) (a,b) and (r,s)U(u,v) where r < s < u < v. For 1), I got that they are not homeomorphic because it fails the topological property that...

What is the derivative of the absolute value of cos(x)?

What formulas define these functions?

I got this wrong is my quiz and i still don't get it. Find the value of k so that equation has the solution of -8. |x-2| = k Thanks.

Hi So I am a little confused about the absolute value sign here. Is the derivative right: [x-1/|x-1|]e^x + |x-1|e^x But what do I do when I set this to zero? Do I get two expressions, one for x>1 and one for x<1 ? (thus removing the absolute value signs)

Is it correct that |\sin x|=-\sin x as x\rightarrow 0-? It's clear for a function like y=x, but I ask the question since the sine oscillates from positive to negative values, so for different x's the abs. value is either pos. or neg. Or do I only need to consider values of x that are between...

"Simple" absolute value problem with inequalities OK...Im totally stuck and could use some help :) given...for all e>0, d>0...the following holds |x-a|<d => |f(x) - f(a)| < e where f(x) = sqrt(x) how do I find d in terms of e? Thanks in advance

if h=ln(absolute x) then how do you calculate e^h?

hello all Iv been working on a lot of integrability questions and I am having trouble with this problem let f be integrable on [a,b] then show that |f| is integrable and that |\int_{a}^{b}f|\le \int_{a}^{b}|f| now this is what i know \int_{a}^{b^U}f =\int_{a_{L}}^{b}f= \int_{a}^{b}f...

Is there any program online that can draw graphs ie. absolute value graphs, quadratics, cubics ...

If f(x+a1) = x^2 + x + 2 then what is f(x-a) Please help!

(|2x-3| + x) / (x^2 - 3x + 2) < 1 |(x^2 - 5x + 4) / ( x^2 - 4)| =< 1 Can somebody help me with this quadratic inequalities, please... If you have time, please also give me an idea of how you solved them... Thank you!

Compute the limit of: (absolute value) f(x) = 4 (absolute value of x + 4) / (x+4) as x approaches -4 from the right. I got 4 because x>-4. Am I right?

int(int(abs(x-y)*6*x^2*y)) the range of x and y are 0,1. Normally i'd check to split it up and change the limits, but i think my brain is broken because I'm not seeing it at the moment. simple question that i need to know how to do for stats without using maple :P

Detemine |X-16| - |X-2| = ? given X<7