Absolute Definition and 1000 Threads

  1. H

    What is the domain and asymptotes for f(x) = |x³ + x²|/(x² - 1)?

    Hi! I've got a problem that's got me a bit.. well, in the end I guess the proper word is sceptic, because it feels a bit like I've made the answer up, which is why I'm taking it up here at all. Anyway: Homework Statement Determine the domain for f(x) and the asymptotes to the curve y=f(x) for...
  2. K

    First order linear ODE-integrating factor has absolute value in it

    First order linear ODE-integrating factor with absolute value?! Homework Statement Solve the ODE y' + (3/t) y = t3. 2. Homework Equations /concepts 1st order linear ODE The Attempt at a Solution Integrating factor =exp ∫(3/t)dt =exp (3ln|t| + k) =exp (ln|t|3) (take constant of...
  3. H

    Solve Absolute Values: z∈C |z - 1| = 5, |z - 4| = 4, |4 - z2| = z

    Homework Statement So I've got two problems I'm struggling a bit with. One of them I've solved (I think), but I'm definitely not sure. The other one is bugging me a bit. Anyway: i] Determine all z∈C so that |z - 1| = 5 and |z - 4| = 4 ii] Determine all z∈C so that |4 - z2| = z...
  4. S

    What is the absolute uncertainty in your estimate of the total mass?

    Homework Statement You measure the mass of a physics textbook to be 2.97±0.07 kg, and use this value to estimate the total mass of 800 identical physics textbooks in the bookstore. What is the absolute uncertainty in your estimate of the total mass? I have been working on this for a...
  5. A

    What is this? Absolute value derivative? Magnitude?

    I'm looking at this problem below: http://apthtml.com/images/deriv.png The first part I understand - a derivative of some vectors, not a big deal - but the second part is where I'm confused. I can't even come up with a name for it. First I thought magnitude, but I don't really see how...
  6. P

    Statistical Mechanics, Absolute Probability, and the Average Magnetic Moment

    I'm not sure if this is the proper location for this thread, but its for a math course and I think my issues concern the math portion of the problems. If it should be moved please do so. Note: I know the post is quite long, so I'll just pull out my few main issues from all the junk. 1)...
  7. S

    Are Field Boundaries Absolute in Space?

    My understanding is that, while at a macroscopic level, my skin may seem like an absolute boundary between my interior and exterior, at a microscopic level, it is full of wholes--we cannot draw a line or arc that represents and absolute boundary between my interior and exterior at a given point...
  8. L

    Gage Pressure, Absolute Pressure - Gage in Different Environment Problem

    State the Problem A gage is connected to a tank in which the pressure of the fluid is 42 psi above atmospheric. If the absolute pressure of the fluid remains unchanged but the gage is in a chamber where the air pressure is reduced to a vacuum of 25 inHg, what reading in psi will then be...
  9. Z

    Is absolute zero energy a meaningful concept in relativistic thermodynamics?

    Energy is considered a relative quantity. Is there any measure of energy that is absolute? If temperature is measured by measuring the frequency of the emitted photons then observers with different velocities would measure different temperatures. But a body at absolute zero would not...
  10. P

    Spivak Calculus chapter 1: absolute values?

    Homework Statement http://img3.imageshack.us/i/0902091724.jpg/ http://img3.imageshack.us/i/0902091724.jpg/Homework Equations The Attempt at a Solution My problem is that I don't even know where to start on this! My first problem is always forgetting what I can and can't use, because we can...
  11. M

    Quadratic Absolute Value Inequality

    [b]1. Solve: l2x^2+7x-15l<10 [b]3. I split it up into two cases and got: 2x^2+7x-25<0 and 2x^2+7x-5>0 With the quadratic formula I got: x= [-7+/- (249)^(1/2)]/4 and x= [-7+/- (89)^(1/2)]/4 These clearly are the answers, but I am confused about the inequality from this...
  12. S

    Absolute velocity, CMB, and doppler shift

    I've heard it said that it is impossible to determine an objects absolute velocity, all one can do is find it relative to some other object... but, if the CMB is everywhere, why could you not just measure the doppler shift in all directions, and adjust your velocity so the CMB has no doppler...
  13. A

    Is the Speed of Light Absolute or Relative in Special Theory of Relativity?

    According to Special Theory of Relativity nothing is absolute in this universe, but relative to each other. as we know that Einstein told me that speed of light is max. Now I'm little bit confuse if speed of light is absolute or relative i.e it may be max. for initial reference frame but for any...
  14. P

    Absolute Relative Error and Graphs

    I'm calculating absolute relative error at the moment for a practical I did. However, I've hit a brick when attempting to find a general relative error I can use because I need to gradient to find something else which also requires a relative error calculation. I have frequency (+/- 0.0005)...
  15. M

    Absolute value of acceleration Help

    Absolute value of acceleration Help! Homework Statement I am getting a value of -1.94 m/s^2 for my acceleraton. An it wants to know the absolute value of acceleration what do I put down. It also state that the plus or minus is just to indicate direction. But the way the problems is computed...
  16. D

    Absolute Position: Finding a Meeting Point in Space over Billions of Years

    "Absolute Position" This is a bit of a contrived scenario, but I wonder how it might be solved.. Say you have two highly advanced civilizations that want to meet each other, but in order to do so the trip will take billions of years. Now, in this time, solar systems collapse, orbits change...
  17. S

    Question regarding Newton's absolute space.

    I'm having a difficult time rationalizing the description that a book I'm currently reading has given of Newton's idea of acceleration relative to absolute space. As I understand this description, it states that acceleration occurs relative to the whole of absolute space. I don't understand...
  18. A

    How can I get absolute value of impedance?

    Here's the thing. I have 4,7 nF capacitor and AC: 1 kHz < f < 10 MHz. I measure real and imaginary part of capacitance C*=C'+iC" (C'=C'(f) and C"=C"(f)). I did 2 measurements - in first capacitor is directly attached to measuring device, in second I use 1 m coaxial cables to attach it. I...
  19. Y

    Beginner's Guide to Stargazing: Tips for Observing Space from Mumbai, India

    Well, I am an absolute beginner at astronomy, but I'm really very interested..I want to start stargazing and observing space and studying space and stuff. can anybody help me? I don't have a telescope or any written material or guides or anything related to space...so any suggestions will be of...
  20. T

    Absolute Zero and Absolute Accuracy

    This is either a topic that is so blatantly obvious that it's ridiculous I'm saying it, or I'm missing something. From my limited physics knowledge, I know that absolute zero is a temperature in which the molecules are not moving whatsoever. In other words, it's the lowest possible...
  21. W

    Absolute velocity measurements

    Hi all, this is my first post to the forum. I've been thinking about a mechanism that can't work, but I can't figure out why not. Here is the idea: 1) If I have two wires parallel to each other on a table and I run a current through them, they will be attracted to each other. I believe...
  22. S

    Quadratic equation and absolute value .

    Quadratic equation and absolute value... Consider equation |x2-2x-3|=m, m belongs to R If the given equation has no solution then find the interval in which the m lies. 2. Homework Equations -Given in question 3. Since this equation is in modulus there would be two equations...
  23. T

    Standard deviation versus absolute mean deviation

    What are the advantages of using the absolute mean deviation over the standard deviation. Is it possible to show a simple example where the former is more (or less) appropriate? Also, related to the mean deviation is my own variation. Does it have a name? Instead of calculating the absolute...
  24. G

    How do you prove that the speed of light is absolute

    I'm in grade 8, but this website looked really helpful Im doing my science fair project on time dilation, and I am wondering how to prove that the speed of light is absolute. Can anyone help me?
  25. T

    Infinite limit of absolute value

    Homework Statement i just want to know one value that i can't find anywhere, and would love some help Homework Equations \lim_{x\rightarrow\ -\infty}|x|} The Attempt at a Solution thanks
  26. W

    How to calc absolute magnitudes by comparing to the sun's luminosity

    hi guys, (i) By comparing with the luminosity of the Sun, calculate the absolute magnitude of a 60W light bulb. [The absolute magnitude of the Sun is +4:75; you may ignore colour differences between the bulb and the Sun.] (ii) The Hubble Space Telescope (HST) can detect objects as faint...
  27. E

    Calculating absolute magnitude

    Sirius A has an apperant magnitude of -1.5, and his distance from us is 2.6 pc. the sun has an apperent magnitude of -26.8 and a distance of 1 AU. what is Sirius's absolute magnitude? how meny times is Sirius brighter then the sun? m1-m2=-2.5lg(f1/f2) this is the equation I'm supposed...
  28. A

    F(x)=2x + 32/x find the absolute maximum and minimum if they exist

    find the absolute maximum and absolute minimum (if any) for the given function : f(x)= 2x + 32/x ; when x > 0 I tried to solve it but I'm not sure if its a maxima or minima, here are my try : f(x)= 2x + 32/x f'(x)= 2-32/x^2 2-32/x^2=0 2u^2=32 u^2=16 u=4 or - 4 -4 is not included...
  29. A

    Absolute Zero on celsius scale

    Hi , Please help me to solve following problem. If 20 KJ are added to a carnot cycle at a temperature 100 degree Celsius and 14.6 KJ are rejected at 0 degree Celsius,determine the location of absolute zero on celsius scale? Ans -270.16 C Please tell me how to solve it Thanks in...
  30. X

    How Do You Integrate Absolute Values with Complex Exponentials?

    Homework Statement \int_{-3}^{3}|t|e^{-jwt}dt The Attempt at a Solution I am not sure if I need to break this into two regions due to the abs value...
  31. M

    Physics Lab - Measurement of Absolute Zero?

    This problem seems straightforward and easy enough, but I still want to check my answers. Suppose the pressure of the bulb (light bulb I'm guessing used in experiment) is 20 psi (absolute) at 20C. What would you predict the pressure to be at 0C? What would you predict would be at 100C? I...
  32. C

    Solving Absolute Value Inequalities without Changing Directions

    Homework Statement |1/(x-1)|<1 The Attempt at a Solution is that the same as this -1<1/(x-1)<1 can i do each side by it self then take the values at which they intersect so i subtracted the 1 then got (-x+2)/(x-1) then made a sign chart with 2 and 1 on it then took the less than...
  33. C

    Absolute Max/Min of f(x,y): Find Solution

    Homework Statement Find the absolute maximum and absolute minimum of f(x,y)=12xy-x^2 y-2xy^2 on the region bounded by x=1, y=1, and y=4/x Homework Equations The Attempt at a Solution For x=1 f(1,y)= 12y-y-2y^2 = 11y-2y^2 f'(1,y)= -4y+11=0 = -4y=-11 =...
  34. D

    Confused about Absolute Value of Inverse Trigonometric Functions?

    Homework Statement Find \frac{d}{dx} \sin^{-1}(\sin x) Homework Equations The Attempt at a Solution Now, I know that the above expression simplifies directly to \frac{d}{dx} x = 1, but I attempted it the long way. Here it is: \frac{d}{dx} \sin^{-1}(\sin x) = \frac{\cos...
  35. T

    What is the absolute fastest laptop CPU right now?

    I was just wondering what the absolute fastest laptop CPU that is currently available is, and could you link me to information about it?
  36. D

    Absolute Movement: Is Point Source Stationary?

    1. I understand that it is impossible to say if something is absolutely stationary, for example wrt the universe, and that there is no such thing as absolute movement now 2. if you place a point source of light at the origin, “O”, of a Cartesian coordinate system. At t1 the point source of...
  37. S

    Finding Absolute Extrema on a Closed Interval

    Homework Statement FIND THE ABSOLUTE MINIMUM AND ABSOLUTE MAXIMUM OF: f(x) = 9x + 1/x on the interval [1,3] Homework Equations The Attempt at a Solution I don't know how to get started!
  38. V

    Absolute zero and non particle movement

    i have read in some articles that when 0 Kelvin is achieved then particle movement within the cooled substance ceases. but my doubt is that einstein said that all objects have constant movement. this means that if the particles really stop then they will kind of stop in time because it is longer...
  39. W

    Sketching Absolute value graphs

    Homework Statement I previously left some absolute value questions which contained a few simple equations and equalities. i have a further question when it comes to slightly more complicated Absolute statements. Sketch the graph of y = 2|x-1| - 3|x+1| + 3x + 1 Homework Equations...
  40. B

    Inequality with absolute value of a complex integral

    I'm stuck trying to prove a step inside a lemma from Serre; given is 0<a<b 0<x To prove: |\int_{a}^{b}e^{-tx}e^{-tiy}dt|\leq\int_{a}^{b}e^{-tx}dt I've tried using Cauchy-Schwartz for integrals, but this step is too big (using Mathematica, it lead to a contradiction); something...
  41. V

    Absolute value of complex numbers

    When is it true that is |a|=|b|, then either a=b or a=b*, where a and b are complex numbers and b* is the complex conjugate of b?
  42. kandelabr

    Volume work, absolute and relative pressure confusion

    hello. i can't figure out where I'm wrong. this is the problem: we have a cylinder, closed with a piston. the absolute pressure inside the cylinder is p0, atmospheric pressure is patm. the air inside expands isothermally to some (specific) volume vend. i derived the equation for...
  43. B

    Cauchy Integral with absolute value in simple curve

    Homework Statement Integrate using Cauchy Formula or Cauchy Theorem: I=\oint_{|z+1|=2}\frac{z^2}{4-z^2} dz (From Complex Variables, Stephen Fisher (2nd Edition), Exercise 2.3.3) Homework Equations \frac{1}{2\pi i}\oint_{\gamma} \frac{f(s)}{s-z} ds= \left\{ \begin{array}{lr}f(z) & : z \in...
  44. K

    Absolute voltage values at battery terminals

    Hi all, Lets say i have a battery with a rated voltage of 3V. This means that there is a potential difference of 3 V across the +ve and -ve ends of the battery. This can mean 3V/0V, 5V/2V, 6V/3V and the list of possible combinations goes on. My question: Is there any way of knowing the...
  45. D

    Calculating absolute magnitude and apparent magnitude

    Ummm... never mind, we found it... Homework Statement Given Proxima Centauri with parallax angle of 0.769" and apparent bolometric magnitude of 11.1... what is its absolute magnitude?Homework Equations I get that I should use m-M = 5 log10(d/10 pc) and I understand that d = 1/p". What I...
  46. V

    Reaching absolute zero and BEC

    Why are we finding it so difficult to reach absolute zero and if at all we are able to achieve it then what are the implications of such a feat? What relation does a bose einstein condensate have with absolute zero? (i know that we have achieved it but how does it happen as we lower temperatures)
  47. D

    What is the limit of |x+1| as x approaches -1?

    Homework Statement Evaluate. lim |x+1| x-> -1 Homework Equations The Attempt at a Solution Not too sure what |x+1| means. I think it has something to do with an absolute value... would the answer be 2 then?
  48. N

    Is the converse of the absolute value limit theorem true?

    Hi all, I'm wondering about this question I can prove that if lim_{n->inf} (a) = L then lim_{n->inf}abs(a) = abs(L) however.. is the converse true? thx
  49. M

    Lorentz force: absolute reference frame?

    F= q(v x B) B= v x q*k*d/r^2 It is a basic physics knowledge magnetic field forms around moving charge, it tell us magnetic field is zero when charge is not moving and strength of magnetic field increases as velocity increases, right? Magnetic potential vector field increases with "absolute...
  50. S

    Dealing with absolute value functions

    In order to get an integral I need to find the difference between two functions, but I'm not sure how to deal with the absolute value... f(x) = \left|x-1-1\right| g(x) = x^2 + 2x g(x) - f(x) = (\left|x-1\right|-1) - (x^2 + 2x) =... I don't know if I can simplify it anymore... can I...
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