Absolute Definition and 1000 Threads

Can absolute zero ever be achieved? I this a theoretical kinetic energy?

Hello everyone, For the following absolute value equations, I have no trouble solving them and finding the valid x solutions by plugging all the x solutions into the original equation. However, I am just wondering if could someone please show me how to set restrictions for the following...

Homework Statement 25|x| = x^2 + 144 Homework Equations none The Attempt at a Solution okay well, I'm not quite sure what to do, do i try to isolate the |x|? and then break it up into a postive and negative? |x| = (x^2 + 144)/25 ? but from here i become lost...

a) Calculate the pressure at an ocean depth of 550 m. Assume that the density of sea water is 1022 kg/m3 and that the air above exerts a pressure of 101.3 kPa. b) At this depth, what force must the frame around a circular submarine porthole having a diameter of 32.0 cm exert to counterbalance...

Homework Statement \int|x^{2}+x-2|dx from -2 to 2 Homework Equations The integral of f(x) from a to b = F(b) - F(a) |x| = { x if x >= 0; -x if x < 0 --- Ok, I don't know how to do the definite integrals of absolute values.. was never shown an example of it in class, but I kind of...

[SOLVED] Absolute Value in a double integral Homework Statement If \Omega = [-1,1] x [0,2], evaluate the double integral \int\int_{\Omega} \sqrt{|y-x^{2}|} dA given that it exists. Homework Equations None The Attempt at a Solution I know that in order to integrate with the...

\sum_{n=2}^{\infty}\frac{1}{(lnn)^{n}} If I treat it as a geometric series, then when n=3, r is smaller than 1 \sum_{n=2}^{\infty}(\frac{1}{ln3})^3 What matters is that it's ultimately decreasing, would that be the correct approach? Even problem, no answer! Thanks.

I ran across an interesting statistic today while doing some research, but it was stated as a matter of fact without explanation and there appears to be a dearth of material on it. It was stated that the Mean Absolute Deviation ("MAD") of a Normal (Gaussian) Distribution is .7979 of a Normal...

Hello, My question is as follows: Show that the function f(x,y) = sqrt(abs(xy)) is not differentiable at (0,0). I was going to go with trying to show that the directional derivatives don't all exist here, but that would require finding the gradient, and I always get confused when trying to...

Homework Statement Find the real/imaginary parts of sinh(x+yi) and its abs value.Homework Equations The Attempt at a Solution I am able to decompose sinh(x+yi) = cosy*sinh(x) + isin(y)cosh(x) - (which is correct according to my book) Now finding the absolute value is kind of causing some...

I am not sure if I should be posting this in another section, but my question is this: Does the uncertainty principle necessarily prevent a temperature of absolute zero occurring anywhere in the universe? I am no physics expert, just curious really. Liam

Homework Statement Let Sumation "a sub n" be an absolutely convergent series, and "b sub n" a bounded sequence. Prove that sumation "a sub n"*"b sub n" is convergent. (sorry fist time on this site and can't use the notation.) Homework Equations Theorem A: that states sumation "a sub n"...

What is really meant by temperature and negative absolute temperature? Is that an abnormal state that happens during population inversion in laser?

Homework Statement Find the absolute max/min on [-1,3] for y = x^2 * e^-x Homework Equations The Attempt at a Solution F'(y) = (2x)(e^-x) + (x^2)(e^-x) = xe^-x(2 + x) x = 0, -2 (Critical Points) F(-2) = 29.56 MAX (CP) F(-1) = 10.87 F(0) = 4 F(3) = 0.199 MIN...

Homework Statement If |x| = -x + 2x*H(x) what is |x - a|? This isn't the actual question, just something I need to know to solve the question. Homework Equations H(x) is the Heaviside function which is: y = 1 if x >= 0 y = 0 if x < 0 The Attempt at a Solution Well, I'm...

Homework Statement The problem is: Draw the graph of the following function: f(x)=|x+|x+|x-1||| Homework Equations |x|=\left\{\begin{array}{cc}x,&\mbox{ if } x \geq 0\\-x,&\mbox{ if }x<0\end{array}\right The Attempt at a Solution If the function were, for instance...

Hi, I'm currently doing an A level course in Physics, so this thought struck me then. I was looking at a simple problem, when a thought struck me, if V=I/R and at absolute zero (0 kelvin) there is no resistance, what happens to the voltage? In other words, V=I/0 I know that you cannot...

Hello all This question is probably a bit ridiculous, but here goes: Hypothetically, If any given closed system has obtained absolute zero temp, does any media (time, gravity, events)occur within? Thermodynamically, Wouldn't this be a state of infinite entropy? Can anyone describe such a...

Homework Statement Find the absolute maximum and absolute minimum values of f(x) = (x - 1)^2/3 on [0,2]. Give reasons for your answer Homework Equations None The Attempt at a Solution I first differentiated the function and got. \frac{2}{3}x(x - 1)^{\frac{-1}{3}} that is to...

I've been studying absolute uncertainties and do not understand any of it. If someone can explain it will really help. Especially with uncertainties including diameters and area.

Homework Statement If a star has an apparent magnitude of -.4 and a parallax of .3'' what is : a) the distance modulus b) the absolute magnitude Homework Equations m is the apparent magnitude and M is the absolute magnitude m-M =5 log d - 5 M= m + 5+5 log(pi''), pi'' is the parallex angle...

Homework Statement Where is the function f(x) = |x| differentiable? Homework Equations [f(x+h) - f(x)] / h The Attempt at a Solution I know that the graph of f(x)=|x| shows a corner at the origin from which 2 lines project at opposite slopes, as in they are symmetric about the...

Homework Statement Prove the following statement: For all real numbers x and y, |x| times |y| = |xy| Homework Equations I really don't know how to start this as a formal proof. The Attempt at a Solution I was thinking I'd have to break it down into four cases and logically prove...

Okay, we don't understand this and we need much help the largest pyramid included in the first wonder of the world is Khufu. IT stands 450 feet tall and its base is 755 feet long. Imagine that a coordinate plane is placed over side of the pyramid. In the coordinate plane, each unit...

Homework Statement http://img409.imageshack.us/img409/771/fluidcm5.jpg Homework Equations F1/A1 = F2/A2 Pressure = Density * Height * Gravity The Attempt at a Solution I do not have a clue of how to solve this problem. Can anyone start me off and provide me couple of hints?

I was wondering does the notion that the universe is expanding uniformly means there is no absolute rest, but there is absolute simultaneity?

Hi, it's been awhile since I have studied Lebesgue measure so I'm trying to re-learn the material on my own. Most of my friends don't remember much as well so it's been a bit of a struggle trying to work on these problems on my own. Thank you for any kind of help! OMIT Question 1. If...

Please help me out here with this problem: 37. Express the function f(x)=l x l + l x-2 l without using absolute value signs. Okay, I've took a sneak peak at the answer key and it is given in kinda of like piece-wise notation where they have 3 equations and different intervals of x for...

I just want to verify my answers. I am asked to determine whether the sum converges absolutely, conditionally or diverges. ((-1)^k)*2^n)/n^(n/2). I got that it was conditionally convergent, is that correct?

Homework Statement We recently proved that if a function, f, is continuous, it's absolute value |f| is also continuous. I know, intuitively, that the reverse is not true, but I'm unable to come up with an example showing that, |f| is continuous, b f is not. Any examples or suggestions would...

Hi. For an integral like this, for example: \int {\sqrt {1 - \cos ^2 x} dx} The most obvious way of solving would be to make use of the pythagorean identity, to get: \int {\sqrt {\sin ^2 x} dx} Now, I've been taught to simply evaluate it like this: \int {\sqrt {\sin ^2...

Homework Statement \int_0 ^\pi \sqrt{1-\sin^2 x} dx Homework Equations 1 - \sin^2 x = \cos^2 x The Attempt at a Solution I don't know how to treat this since cos changes sign half way across the integral. I know the answer should be 2 but I keep getting 0 every which way I try.

MEASURE To measure nature with absolute certainty, one would need a tool of absolute certainty. Unfortunately for science, there is no such thing! Measure? MJA

Hey i have 2 questions here that i have finished and i have no answers to my solutions so i would like someone to check it over and see where i went wrong , I am not 100% sure on this stuff and need some help , thanks a lot ! Question 1: Using the definition of a derivative, show that ƒ (x) =...

I am aware that absolute zero can not be achieved by cooling a substance since absolute zero is zero-point energy. I was just wondering what is used (coolant wise and apparatus wise) to cool something near this temperature since there some experiments such as the Boise-Einstein Condensates which...

How can you calculate density from : altitude temperature and absolute humidity

Homework Statement A star is 42.9 more luminous than our Sun and has a mass 3.5 times bigger than the Sun. Assuming our Sun has an Absolute Magnitude of 4.83 what would the Absolute Magnitude of this star be? Homework Equations The Attempt at a Solution

If the universe consisted only of He atoms and all of them are in the ground state, does it imply this universe has 0 or close to 0 kelvin? It is only the deexcitation of the outer electron emitting a photon which can produce any significantly measurable heat in the universe?

Hey, an article on the new Discover Mag talks about underground labs trying to detect dark matter. It mentions that the sensors have to be brought down to almost near absolute zero... I then realized that, even though I keep reading about things being put in extremely low temperatures, I have no...

Would somebody help me in entering a calculation into my scientific calculator? The equation is Mv = - [2.76 log10(P) – 1.0)] – 4.16 I have the value of P but I'm not sure how to enter this into the calculator. I get a different answer every time. Thanks,

Within all pages within a folder. So I downloaded a number of pages that have links to pages that I want to download (using a utility such as HTTrack or DownThemAll). The problem is that the URLs of the pages are all relative, so when I save the pages to an external server (I have to do that...

The equation |2x+a|=|b-x| has exactly 2 solutions, at x=-4 and x=2/3. Find the value(s) of a and b. Ok so the questions is asking me to find possible values of a and b which make the equation true for ONLY x=-4 and x=2/3. So for: |a-8|=|b+4| |a+4/3|=b-2/3| I need to find the values...

hi i simply know nothing about programming languages and related stuff, but i really want to learn one, c or c++, i don't know where to start can you please tell what to do and where to start, websites, books... please help:cry: i appreciate ur help thanks:smile:

Given the function: f(x) = \left| {x + 1} \right| + \left| {x + 2} \right| How can i write that as a piecewise function? If i was given something in the form of f(x) = \left| {g(x)} \right|, i know to write it as: f(x) = \left\{ {\begin{array}{*{20}c} {g(x),} & {g(x) \ge 0}...

Hi I know that the following can never be done in the real world, but in theory, if the vectors of all particles, antiparticles, photons etc. in the universe could be summed, would that qualify as an absolute reference frame for that instant in time? Clearly each instant would have a...

I've been told that heat is vibrations of the molecules. I see two ways to reach absolute zero -273,15 C 1. you could stop all the molecules so that they wouldn't move at all. or maybe?? 2. remove all the molecules. No molecules no vibrations no heat?? is no 2. possible?

What I have is this: Let P_n(x)=(x-x_0)(x-x_1)...(x-x_n), _i are subscripts. Prove that the maximum value of |P_1(x)| for x in [x_0,x_1] is h^2/4, where h =x_1 - x_0. All the x_i terms are evenly spaced. That is, x_(i+1)-x_i is the same for all i. What I noticed is that P_1(x_0)=P_1(x_1)=0...

I need some help graphing an Absolute value. I know what it look like from a graphing calculator but I don't understand how to get to the answer. http://media.twango.com/m1/original/0042/5fda15431b96400eb32e66afa3627624.jpg Thanks

I'm confused by why my work is wrong: 3x^{2}+12x>0 3x(x+4)>0 3x>0 , x+4>0 x>0 , x>-4 However, the correct answers are: x>0 and x<-4? Why is the sign reversed on -4? I thought you were only suppose to reverse it if you multiply or divide the equation by a...

Let z : \mathbb{N}^2 \to \mathbb{C}. Suppose that: 1) for all natural n, \sum _{j \in \mathbb{N}}z(n,j) converges absolutely. 2) for all natural j, \sum _{n \in \mathbb{N}}z(n,j) converges absolutely. 3) \sum _{n \in \mathbb{N}}\left (\sum _{j \in \mathbb{N}} z(n,j)\right ) converges...