decreasing Definition and 198 Threads

Just curious, explanation if youre going to answer please! 2 horizontal disks stacked on one another spinning at constant v, (about a frictionless axis perpendicular to their center), both have mass. Okay, so let's say its possible to instantaneously remove the top disk. So would that make...

Let $\left\{{a}_{n}\right\}$ be a nonnegative, non-increasing sequence and convergence to $a \ge 0$. Can we say that ${a}_{n}\ge a$ for all n $\in \Bbb{N}$ ? Also, if $\left\{{a}_{n}\right\}$ is a nonnegative, decreasing sequence and convergence to $a \ge 0$. Can we say that ${a}_{n}> a$ for...

Can we say non-increasing equivalent to decreasing (For sequence or functions) ? İn some book, I see that...Can you say something ?

Please can you give definitions of increasing, non-increasing, decreasing and non-decreasing functions ? I found something but there is a lot of differents between these definitions...Can you give these definitions ? Thank you so much, Best wishes :)

The E and B field lines of a dipole radiating EM waves looks like that (sorry for the poor quality) : What I wonder is how can we see that the amplitude of the fields decrease as 1 / r? When you look as such a picture it actually feels likes the amplitude should rises. The E field gets...

Let $\{p_n\}$ be a nonnegative nonincreasing sequence and converges to $p \ge 0$. Let $f : [0,\infty)\to[0,\infty)$ be a nondecreasing function. So, since f is a nondecreasing function, $f(p_n)>f(p)>0$. How did this happen?

Homework Statement A sequence (an) of real numbers is defined by a(1) = 6, a(n) = (1/4)(2*a(n−1) − 3) for n >= 2. where n is a natural number show the sequence is monotonically decreasing Homework Equations None The Attempt at a Solution I tried to prove it by induction. Let P(n) be the...

Note: This is a question on a particular cosmological scheme, mainly Conformal Cyclic Cosmology. In Cycles of Time, Penrose says that Black Hole Information Loss causes the entropy to decrease in a way that doesn't violate the 2nd law. I think his analysis is correct, IF it was the case that...

Homework Statement A wire coil of 2 cm with 10 turns is in a magnetic field of 2 T. The field is perpendicular to the plane of each turn of the coil. The coil is wired in series with resistor of 5 Ω. The field drops at a constant rate to 0.0 T in 10 ms. What is the current through the resistor...

Homework Statement tn=1+1/2+1/3+...+1/n - ln(n) a.) Interpret tn - tn+1= [ln(n+1)-ln(n)] - 1/(n+1) as a difference of areas to show that tn - tn+1 > 0. Homework EquationsThe Attempt at a Solution I have not started working on part b) yet, because so far I am stuck on part a). I just simplified...

Hello, If we consider a source of light (in a point x), is it wright to say that the intensity decreases in 1/r2 ? Thank you !

Homework Statement I was wondering how I would go about showing that (an) is monotone decreasing given that an = 1/√n. I believe I have to show an ≥ an+1, but I'm not sure how to go about doing that.

Homework Statement A thin hair is placed between two microscope slides. When laser light is shined down onto the slides, periodic intensity maxima are seen to span the slides. Which of the following changes will decrease the distance between the maxima? I. Decrease the wavelength of the laser...

Homework Statement In a velocity selector, which of the following will lead to an increase in the exiting particle. Homework Equations Fb= qvB Fe=qE To travel straight the v = E/B The Attempt at a Solution I understand how varying E or B can change the velocity of the...

Hi all I've been trying to use weights, springs and elastic bands to basically decrease the bonding of a piece of metal and magnet. Basically what I am trying to achieve is as the magnet attracts the metal i want the attraction to weighed down consistently, but I am failing to do this as the...

Hey there! How do I determine whether this function is growing or decreasing without using any calculator or graphing tools? y=ln(\frac{1}{x}) I know that y=ln(\frac{1}{x}) \ \Leftrightarrow \ e^y=\frac{1}{x} \ \ \ (1) Then I tried to use the formula f(x)=a^x and then determine whether...

So a lossy dielectric sphere gets an initial charge distribution evenly across the sphere. Find an expression for E inside and outside the sphere for all t. I figured that σ∇E=dp/dt p being volume denity. So I apply spherical coordinates to the div of E and integrate over r to get...

What is the effect of decreasing the widths of slits in double slit experiment?

Hi. Having measured an induction motor on no load and obtained a torque figure, I have noticed that when load is increased, the torque continues to decrease. How it this possible as I am observing a reduction in rotor speed and increase in rotor currents and current drawn from supply?

Homework Statement Helium at 20°C passes through a pipe with an initial diameter of .3 meters decreasing to .25 meters. The helium flows at .30 kg/s and an initial pressure of 200 kpa. Find the difference in pressure ΔP across the decreasing section. Assume incompressible and inviscid flow...

Hi, So this is part of an assignment for my numerical analysis class. The integral is this: \int_0^{\infty} e^{-x} \cos^2 (x^2) dx We are instructed to evaluate the integral from 0 to some large A using numerical methods (which I'm fine with), and then estimate the tail, ie...

Hi ! :) Let x_{n} a sequence of positive numbers.How could I show that it has a decreasing subsequence that converges to 0,knowing that inf{ x_{n} ,n ε N} =0??

Hi guys, Just ran into a debate with friends about this topic. We were discussing whether the scope of pure sciences (in particular, Classical Physics)decreasing over time? Has it decreased till date? The fact that newer questions posed now a days are tougher than the times of Newton and...

A single-turn circular loop of radius R = 0.197 m is coaxial with a long 1740 turn solenoid of radius 0.0410 m and length 0.890 m, as seen in the figure below. (picture in URL)...

Homework Statement Arrange the following species in order of decreasing size (largest radius first): Br- Cl- Ca2+ K+ Homework EquationsThe Attempt at a Solution Br- would get Kr's configuration, Cl- would get Ar's, Ca2+ will get Ar's, K+ will also get Ar's. Ar has 98pm radii while...

This applies to the alternating series test, and one of the conditions for it to work is if absolute value of an is decreasing for all n. The way the book says to do it is to take the derivative of f(x) with f(x)=an. However, if I know that the limit as n approaches infinity abs value an...

Homework Statement The problem asks us to prove the length of a curve decreases as one of its parameters, t, increases. Here is the full statement http://img94.imageshack.us/img94/6560/yf6j.jpg Homework Equations L_t=\int_0^1 ||\partial_s x(t,s)||ds is the length of the curve as a...

Let $0<x<45^{\circ}$. Arrange $$t_1=(\tan x)^{\tan x}$$, $$t_2=(\tan x)^{\cot x}$$, $$t_3=(\cot x)^{\tan x}$$, and $$t_4=(\cot x)^{\cot x}$$ in decreasing order.

My textbook states that "For the integral test to apply, it is not necessary that f be always decreasing. What is important is that f be ultimately decreasing." I'm just curious what is meant by this statement. How do you define a function that is "ultimately decreasing"? It'd be great if you...

As part of a Griffiths problem, I have a charged capacitor placed in a uniform magnetic field which points in +x direction. the capacitor plates are parallel to xy planes. Suddenly, the B field starts decreasing in magnitude...what is the direction of the induced E field? It makes most sense...

And if so, at a rate faster or slower or the same compared to at earlier times of the universe?

To begin I'll just give a summary of what I'm looking to do, and then explain further for those who are looking for more information. The goal of the engine is having a forced induction motor capable of revving to higher RPMs (more power at the higher RPMs with FI) while still being somewhat...

Hello everyone, Can you please show me how to 'determine weather this funtion -3[(x-3)^2-9] is increasing or decreasing on the the domain [0,6] Thanks in advance .

Homework Statement In order to decrease the intensity of a beam of unpolarized light to 10% of its original intensity using two polarizers, what is the required value of θ, the angle between the transmission axes of the two polarizers? Homework Equations tanθB=n2/n1 The...

Homework Statement Look at the image.All the O's are of equal length.O1=O2=O3 etc.Angles are subtended from two ends of An O to point P.As you see,O1's angle is larger than O2 ant )2's angle is larger then O3 and so on. As you Go down the O's(i.e. O1,O2,O3 etc),the angle subtented by the O's...

If you drop an object from a great height with no air resistance. e.g. 1000 km above the moon. How long will it take to hit the surface? (GM_{}1M_{}2)/r^{}2 = M_{}2a r^{}..=k/r^{}2 Hmm this is my first post, not quite getting the symbols. "The second derivative of r is equal to a...

Sorry if the formulation is imprecise, I'm a biology major trying to study some physics. The question is: So far, my reasoning is: I make an assumption in Step (2) that decreasing the pressure will decrease the temperature. But I'm not sure what the justification is. I only know of the ideal...

How does decreasing the volume increase the temperature of the gases? I was doing an experiment today and when i decreased the volume of the gas from 65ml at 1atm to 20ml the temperature detected an increase of 0.5°C. However, in Boyle's Law temperature is a constant. So would this mean...

Homework Statement I need to find the acceleration, a(t), for which a particle moves on a straight line of a length D. V(0)=0 V(final, that is at x = D) = U a is always positive, but NON-INCREASING! What is a(t) for which the particle reaches the end of the line the slowest as possible?Homework...

Homework Statement a 5 kg block with a 10cm length sits at the top of a frictionless, 6.0m 12kg uniform ramp. This ramp is held up by a rope of tension T at a 35* angle to the ground. The block is released and allowed to accelerate. What is the rate at which the tension in the supporting...

Homework Statement A wire loop of area 2·0×10−4 m2 contains 40 turns, and has a total resistance of 40Ω. The plane of the loop is perpendicular to a uniform magnetic field of magnitude B0. The magnetic field is now turned off such that the flux through the loop drops linearly to zero. A total...

Homework Statement A retarding force is applied to a body moving in a straight line so that, during an interval of its motion, its speed v decreases with increased position s according to the relation v2=k/s, where k is a constant. If the body has a forward speed of 1.8 in/sec and its position...

Decreasing Stability order of given I, II, III, IV (in order) A)IV>I>II>III B)I>IV>III>II C)I>II>IV>III D)IV>II>I>III (My Answer) Since the IV is most stable, only A and D answers are worth checking. They only differ by stability order of I and II. Then I checked by determining...

I am feeling silly because I can't seem to crack this, but maybe I have been staring at it too long. I am trying to find a math function that will yield a single unit decrement of the currently defined Year/Quarter. This is a software UI thing: I am trying to create a script to decrement, in...

I juat have a quick question. Which of these is correct; f(x) is one-to-one \Rightarrow f'(x) is increasing f(x) is one-to-one \Rightarrow f'(x) is non-decreasing. I think number one but I'm just not 100% sure. Thanks

Hi, I'm sure x_t is a decreasing sequence while y_t is an increasing one. It feels like it should be simple to prove, but I just can't do it. Any suggestions would be great! Thanks, Peter x_t and y_t are defined iteratively by two equations: 1. y_(t+1) = bq x_t + b(1 - q) y _t 2...

Homework Statement To solve a problem in a book, I need to know whether or not the following is true: Let f be a real-valued, decreasing differentiable function defined on the interval [1, \infty) such that \lim_{x \rightarrow \infty} f(x) = 0. Then the derivative of f is continuous...

weight of earth? can anyone tell me the weight of earth?

Homework Statement [SIZE="3"]\sum_{n=1}^{\infty} \frac{n^{k-1}}{n^k+c}, where k is a positive integer.Homework Equations The Attempt at a Solution I found that it was discontinuous at [SIZE="3"]x = (-c)^{1/k}; and to determine if the sequence is decreasing, I took the derivative which is--I...

Can decreasing acceleration be negative acceleration ?