Absolute Definition and 1000 Threads

How we can integrate this (without integration limits) sqrt (|x|)

ie: in the figure theta 3 i got i want theta 2 what formula would i use

STUPID QUESTION ALERT! Is spacetime an absolute reference frame?

Homework Statement Let f(x, y) = |xy|. I want to prove that f is not continuous at (0,0). The Attempt at a Solution To prove that f is not continuous at (0,0) I think I need to show that \lim_{(x, y) \to (0, 0)}|xy| \neq 0 I'm a little confused about the |absolute value|...

This is a physics problem, but I only need help with the calculus portion of it. I was having trouble figuring out how to split the integral to properly integrate. Homework Statement Homework Equations \int\stackrel{\infty}{-\infty}(x/x_0)e-2|x|/x_0dx where x_o is a constant...

Hi everyone; I've got this question concerning absolute value, although I understand the concept of absolute value, I can't quite understand why option B is bigger than option A. I would really appreciate some explanation on the following question: I am trying to post it in Latex, but in case...

sin|x + y| = ? cos|x + y| = ? Is there any formula for these?

Homework Statement y = 2 − x^2, y = |x| sketch and find the area of the region determined by the intersections of the curves Homework Equations regular f - g of integral The Attempt at a Solution The absolute value puzzles me. How would it work then? I mean we know how each...

Hello all, I am finding a distance to a cluster via Main Sequence fitting, and I don't know where to find an absolute color - magnitude diagram ( B-V, and V ). I can be from any star cluster, or sky region, as long as the magnitudes are absolute. I need the data tables, not just a pretty...

Homework Statement Determine whether the series converges absolutely, conditionally, or not at all. a) \Sigma (-1)nn4/(x3 + 1) b) \Sigma sin(x)/x2 Homework Equations The Attempt at a Solution a) positive series is n4/n3+1 .. do i do comparison test ?? b) |sin(x)|/x2...

Can anyone tell me the general procedure in doing the following procedure? f(x,y)=xy^2 with domain x^2+y^2\leq4 Find it's absolute max & absolute min. Okay, here is my thought procedure, tell me what I can fix. So I would basically say, find the partial derivatives with respect to x and y...

Find the absolute min & absolute max of f(x,y)=xy^2 with domain x^2+y^2\leq4 Please help

Homework Statement Calculate your experimental value of absolute zero , how does your experimental value compare to the theoretical value -273C? Homework Equations T_abs=(S1*T2-S2*T1)/(S1-S2) The Attempt at a Solution This is all part of a lab. I'm not asking people to do any...

In a lot of compilations of standard integrals (my Calculus book does this, Wikipedia does this), a lot of the integrals of trigonometric functions have an absolute value in their solution which seems out of place to me. For example, take the integral \int dx \cot{x}. My Calculus book says...

What does QM have to say on the ontology of time? Is time absolute or relative? What does quantum entanglement have to say on the subject?

Homework Statement I need to find where these intersect: y = |x| 3y - x = 8 Homework Equations The Attempt at a Solution I equate them: |x| = (1/3)x + (8/3) |x| - (1/3)x - (8/3) = 0 |3x| - x - 8 = 0 |2x| - 8 = 0 |x| = 4 Is that right? How do I get the other solution?

Hey, here's the question: "If a gauge reads -295mmHg where athmospheric pressure is 101.7 kn/m^2 and the vapor pressure is 2.8 kN/m^2, what is the absolute pressure?" I converted the gauge pressure to 39.36 kN/m^2 but where do i go from here? I know the equation is p_gauge= p_absolute -...

Hey, here's the question: "If a gauge reads -295mmHg where athmospheric pressure is 101.7 kn/m^2 and the vapor pressure is 2.8 kN/m^2, what is the absolute pressure?" I converted the gauge pressure to 39.36 kN/m^2 but where do i go from here? I know the equation is p_gauge= p_absolute -...

Hello... If time stops at the event horizon of a black hole..which means there is no motion happening or can be observed..does that not mean that the centre of a black hole is a place of absolute rest? Could such a place of ab/rest 'move' thru the cosmos (basically a black hole which is a...

Find the relative extrema of f(x)=|3x-x^2|. Normally you solve f'(x)=0 to find the critical points, in that case we have 3-2x=0 => x=3/2. However there are two other relative extrema that I cannot find by calculus as the absolute nature of f(x) has confused me. Indeed doing a sign analysis on...

I was looking at a derivation of entropy expressed as an absolute probability: S = -k. SUM P.lnP (What is the name of this by the way?) In the derivation, it makes the following statements which I really just don't get! U = SUM E.P so therefore dU = SUM E.dP - SUM P.dE Where does...

I'm trying to wrap my head around how rotational frame dragging affects the centrifugal force of a massive, rotating body and was hoping someone could explain this concept to me better. If I am confused on any of the points below please let me know. It is my understanding that there is no...

Homework Statement Hi all I have f(x)=|x|. This I write as f(x) = -x for x<0 f(x) = x for x>0 f(x) = 0 for x=0 If I want to show that f(x) is not differentiable at x=0, then is it enough to show that f'(x) = -1 for x<0 f'(x) = 1 for x>0 and from this conclude that it is...

What is meant when the potential difference of a point in space is quoted? (my book calls it absolute potential). What "difference" is being referred to (only one point is being referenced)?

Hi everyone, I am new to this forum - happy to meet you! :-) Background to my questions: According to quantum physics, there is no "absolute stillness" (but always some "quantum noise"). This seems to be one of the implications of Heisenberg's uncertainty principle (because if there was...

I was thinking, if time passage varies with speed would the speed of atoms random movement (temperature) affect time? For example, if the universe is expanding, as some predict, it will eventually reach a state where everything will reach very near to absolute zero, or maybe absolute zero. If it...

Isn't the distance between two atoms where nothing exists, no atoms or subatomic particles, absolute vacuum? a place where nothing exists?? I am not too educated in such physics, so please do explain what you say

For example, what happens if you put an apple in space? Or what happens when animals (or people) are frozen to very low temperatures?

Homework Statement Doing some problems from textbook, I need to determine whether the series is absolutely convergent, conditionally convergent, or divergent. n!/n^n I plugged it into WA, and it says the series doesn't converge, but I'm not sure how to figure it out. Homework...

Let's say we have two perfectly rigid spheres. One is at rest and the other is moving toward it with some differentiable velocity. When they collide, the first sphere will start moving with infinitesimal velocity and the second will reduce its speed by an infinitesimal amount. But since the...

Homework Statement Given: |A|+A+B=15 and A+|B|-B=13. What is A+B equal to? Give all possibilities. Homework Equations The Attempt at a Solution I solve for both absolute variables. So, A=15-A-B or A=A+B-15 and B=13-A+B or B=A-B-13 Firstly, I solve for A. A+A=15-B...

Homework Statement In Spivak's Calculus 4e, he defines absolute value as: |a|= a,\qquad a\ge 0 \qquad \text{ and } \qquad -a,\qquad a \le 0 Did he really mean to include the '\le ' and not just '<' ? I know it does not affect the answer, but I didn't think that you could...

\int^{\pi/2}_{0}|sinx-cos2x| dx Hi guys i can't seem to get the correct answer for this. What i did was draw the graph of sinx and cos2x and for 0 to \pi/6 i use cos2x-sinx since cos2x is higher. From \pi/6 to \pi/2 i use sinx-cos2x. However i am not able to get the same answer as my book can...

Homework Statement Find the abs min/max values of the function f(x,y) = e1-2x2-y2 on the closed and bounded region x2 + y2 <= 1 The Attempt at a Solution First I have to find the critical points Dfx = (-4x)e1-2x2-y2 Dfy = (-2y)e1-2x2-y2 Clearly e1-2x2-y2 cannot equal 0...

Homework Statement Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x/(x^2 + 25) [0, 8] Homework Equations taking derivatives are necessary The Attempt at a Solution f(x)= \frac{x}{x^2+25} f'(x)= \frac{(x^2+25)-x(2x)}{(x^2+25)^2}...

fuction is y=x sqr.root (3-x) Domain (-infinity, 3] i got my critical numbers to be x= 2, 3 Now i know the absolute max is x=2. but for the absolute min, would it be at x=3? or none since the function continues to go to negative infinity as x approaches negative infinity?

[b]1. Find absolute max/min for the given function with the specified domain. f(x,y)= x^2-xy+y^2 on the circular disk x^2+y^2 less/equal 4, use parametrization when checking boundary. [b]2. f(x,y)= x^2-xy+y^2 x^2+y^2 less/equal 4 [b]3. The only thing I...

Homework Statement Find the absolute max and min of f(t)=t + cot(t/2) on [pi/4, 7pi/4] Homework Equations The Attempt at a Solution I have attempted to find the derivative which I believe is 1 - csc^2 (t/2) * (t/2) which I can simplify down to cot^2 (t/2) * (t/2) Even...

Hello! Can someone explain to me what is relative, and what is non-relative or absolute? As I understand linear motion at constant velocity is called relative. Can you give more such examles for me to understand why something is called relative? Cheers!

Homework Statement Define sequence \left[ {z_n} \right]} _{n=1}^{\infty} of points in the complex plane with z_1 = 1 and z_{n+1} = (4+3i)z_n - 1. Show that |z_n| \ge 4^{n-1} for all n \ge 1.Homework Equations The Attempt at a Solution The base case of induction is true, since |z_1| \ge 4^{1-1}...

Homework Statement I need to simplify the expression below. The absolute value is throwing me off \left[\left|(\alpha + k)^{2}e^{-2i \alpha a} - (\alpha - k)^{2}e^{2i \alpha a}\right|\right]^{2} Homework Equations I know \left|e^{ix}\right| = 1 The Attempt at a Solution I...

A University of Rochester student decided to depart from Earth after his graduation to find work on Mars. Before building a shuttle, he conducted careful calculations. A model for the velocity of the shuttle, from liftoff at t = 0 s until the solid rocket boosters were jettisoned at t = 79.2 s...

Homework Statement 1) x^5 > x^2 2) 7| x + 2 | + 5 > 4 3) 3 - | 2x + 4 | <= 1 Homework Equations The Attempt at a Solution 1) x5 - x2 > 0 x2(x3 - 1) > 0 x2(x - 1)(x2 + x + 1) > 0 Im not too sure what to do next. I can't factor it any further, at least I don't think so. Which...

Homework Statement Find f'(x), if f(x) = [x^2 * (3x + 2)^(1/3)] / [(2x - 3)3] Where the absolute value symbol surrounds the entire function. Homework Equations N/AThe Attempt at a Solution My attempts don't account for the absolute value of the function. Otherwise, I can still take the...

Homework Statement I found the local maximum for the equation g(x,y)=3xe^y - x^3 - e^(3y), which is (1, 0)...now I am supposed to show that this is not the absolute maximum for g(x,y). I don't know how to find an absolute maximum without an interval! Could anyonw shed some light on this...

Homework Statement Find the absolute error for the following function: f = (xy/z)+5w Homework Equations Equation for an error vector: df = (df/dw)dw + (df/dx)dx + (df/dy)dy + (df/dz)dz Equation for the absolute error: (df)^2 = (df/dw)^2(dw)^2 + (df/dx)^2(dx)^2 +...

Homework Statement Consider a function of one variable, f(x), which is continuous on an interval I. If f has a single critical point, x = a, in I, then if that point is a local maximum (or minimum) it must also be an absolute maximum. Explain why this is.Homework Equations Intermediate Value...

1. Find the absolute maxima and the absolute minima of the following function f(x)=(2x)/(x^2+1) on [-2,2]

I am working on a lab report related to Ideal Gases at the moment, and I can't quite grasp how you would go about finding the temperature for absolute zero. Here's a brief synopsis of our experiment: We inserted a piston into a cylinder of water to keep the piston at a steady temperature of 23...

Homework Statement The cylinder C is being lifted using the cable and pulley system shown. If point A on the cable is being drawn toward the drum with a speed of 2 m/s, determine the speed of the cylinder. Homework Equations 2s_{A} + s_{b} = l The Attempt at a Solution I...