decreasing Definition and 198 Threads

Homework Statement If f is defined on (a,b), \lim_{x \to a^{+}} |f(x)| = +\infty and f is decreasing on (a,b), show that \lim_{x \to a^{+}} f(x) = +\infty. Homework Equations The Attempt at a Solution If \lim_{x \to a^{+}} |f(x)| = +\infty, then \forall M > 0, \exists \delta > 0...

The problem is: A snowball is dropped from the top of a building, evaporation causes the mass m of the snowball to decrease at a rate proportional to the snowball's speed as the snowball falls, so that M' = k * abs(y') where y denotes the vertical distance from the ground and k is a...

I've been googling around but i seems not able to find why CuNi have decreasing resistivity when temperature is increased at the range of 20 celcius - 80 celcius. Please enlighten me! thanks a bunch!

My mind is struggling trying to understand how a decrease in pressure can increase the velocity and vise versa for a fluid that is flowing through a tube of some kind. I've always thought that if you increase the amount of pressure then the velocity should also increase. It appears that they...

Hi everyone, Since there is a clear relation between temperature and pressure, I would like to know if it is possible, at the simplicity of our homes, to design a simple experiment where, one can decrease the temperature of an object (liquid, gas or solid) just by varying the pressure levels...

If the first derivative of a function f from R to R is negative on [a,b], it IS right to say that the function is decreasing on [a,b] right? Are there any other ways of showing that the function is decreasing on [a,b]?

I wanted to know a bit more about the fact that in the presently accelerating expansion of the universe the Hubble constant is still decreasing. When the universe was decelerating the Hubble constant was decreasing. It is still decreasing in an accelerating universe. Does that mean the Hubble...

what the advantage of decreasing the distance between slits in a Young double slit experiment? i think to have the laser move closer to the screen

Homework Statement y= x √6-x^2 Homework Equations The Attempt at a Solution

Would you please help me with the question: The graph of derivative f'(x)= (1/4)x(x-6) is given. What value is greater f(-2) or f(10)? It is permitted to sketch f(x) using f'(x) graph, but you can not take the integral of f'(x) directly.

if you where to take something like a sugar cube stack it into a tower 6 cubes high than on each of the 4 sides stack sugar cubes in a decreasing amount so there are 6 cubes in the middle and 5 surrounding it on the four sides , then 4 surrounding that then 3, and so on. What I need is an...

Homework Statement Let {a_n} be positive, decreasing. Show that if a_1 + a_2 + a_3 + ... converges then lim n * a_n = 0. Homework Equations None. The Attempt at a Solution Consider the harmonic series 1 + 1/2 + 1/3 + ... . Observe that [a_n] / [1 / n] = n * a_n . Since 1 + 1/2 + 1/3 +...

OK, this is an odd request, but is there some way or existing list of monotonic decreasing functions? The limitations I have are: - f is monotonic and decreasing. - f(0) = a, a is a real constant; f(1) = 1 ( or simply, passes through (0,a) and (1,1) ) - Cartesian equations, most preferably. I...

Homework Statement Is f increasing or decreasing on f(x)=2x^3+3x^2-36x+5 on [-1,1] Homework Equations The Attempt at a Solution f'(x)<0 for all x in (a,b), then x,y and x, y in [a,b] implies f(x)>f(y) and f is decreasing

Homework Statement let g(x)=2x^5-10x^3=15x-3. find the intervals on which G is increasing and decreasing. and find the intervals of concavity and the inflection points Homework Equations The Attempt at a Solution i know how to find the increasing and decreasing intervals. i just...

Homework Statement A pipe is designed to have its cross sectional area decreasing linearly from 12-inch diameter to 6-inch diameter. What is the acceleration rate at a section 10 inches from the ending section of 12-inch pipe at time = 3 sec? The volume flow rate Q=2t cfs (note: t is in sec)...

Homework Statement Show f(x) = x^3-x^2+x-1 is never decreasing.2. The attempt at a solution f(x) = x^3-x^2+x-1 f'(x) = 3x^2 - 2x + 1 f''(x) = 6x - 23. The problem that I'm facing I don't understand what it means by never decreasing. Do I say that when differentiates, it gives a positive...

Homework Statement Consider a thin ring of mass m that has a radius a and negligible width. The ring lies in a horizontal plan. The ring is an insulator and carries a fixed charge q that is uniformly distributed around its circumference. The ring is located in a magnetic field of strength B_0...

If E_1, E_2, ... is a sequence (of subsets of R^n) that decreases to E (i.e. E_m+1 is a subset of E_m for all m, and E = intersection of all the E_m's) and some E_k has finite (lebesgue) measure, i.e. lambda(E_k) is finite it is a known result that the measure of E is equal to the limit of...

Hmm ... I did this problem for a friend. From what x values is y=cos x decreasing from -\pi\leq x\leq\pi http://img440.imageshack.us/img440/3876/baocu5.jpg [/URL] *it should be -\frac{\pi}{2} \ \mbox{not} \ -\frac{3\pi}{2} It's decreasing from (0,\pi) but the answer she gave me from the back...

So the function is f(x) = 2 + 3x^{2} - x^{4} Find the intervals of increase + decrease, local max + min value, inflection points (IP), interval the function is concave up + down I know that I need to first find f'(x) to find the increase and decrease, so I solved that: f'(x) = 6x -...

Hi all, i have been assigned a task to decrease humidity level in a office environment. Since the office is located in tropic areas, therefore the surrounding air humidity is always around 80-90%. However, the office is equipped with centralized air conditioning, ACMV system. Current...

Hello, I have found that in some processing cases that additional elements are added to metals which result in increased potential for smaller grain size. Does anyone know why this is so? Am I signiificantly misunderstanding the issue? Thanks, -scott

Homework Statement True or false: 1) If f:R->R is a monotonically decreasing function then every discontinues point of f has finate right and left limits which are unequal. 2) I is some finate segment where a<b and a,b in R. If every continues function defined in I has a maximum and a...

Hey guys. I am perhaps in the wrong section but the coursework help forum didn't seem right. My question is concerning the decrease in magnetism of an electromagnet. I have a ball hanging from an elctromagnet which will have the power source removed instantly. There may be some delay...

i have to prove that the sequence {ak} is decreasing, where \{a_k\} = \{\left({1+\frac{1}{k}}\right)^{-k}\} this is what i did: a_k = {\left(\frac{k}{k+1}}\right)^k a_{k+1}-a_{k} = {\left(\frac{k+1}{k+2}}\right)^{k+1}-{\left(\frac{k}{k+1}}\right)}^{k} =...

Increasing comforts - > Decreasing Happiness ? My value education sir gave us this topic for group discussion. He told us that a survey was conducted which showed that Bangladesh was among the happiest rated countries in the world while several developed nations were lower down the rating...

Now what should I look up to understand a question like this one: Function h is decreasing on the interval [4,infinity) and lim h(x)(with x approaching infinity)=8, what would be the limit g'(x)(with x approaching infinity)? I don't nessicarily need the answer, but could someone point me...

When a question asks along the lines of : "If a function (g) is decrasing on the interval {x,x)...What would the limg'(x) be (As it approaches infinity)" What are they looking for? and whatequation am I using? I'm not looking for too much info on how to do, but which direction should I go...

Hello. I know this: If (a_n) is a bounded below decreasing sequence, then lim (a_n) = inf { a_n / n = 1,... } n->oo How to translate this to real functions ? I mean, I have read that: lim (sup { f(x) / 0< |x-a|< e}) = e->0 inf { sup {f(x) / 0< |x-a|< e} / e >...

Here's another one I'm doing just for the fun of it.. "prove that (1 + 1/x) ^ (x + 1) is monotone decreasing" Okie Dokie.. If it just said show it, I'd be happy. Just plug in n=2, 3, 4.. and it is easy enough to observe that each term is decreasing. But to prove it is monotone...

Does anyone know for sure if it's true that the angular momentum of the Earth has been decreasing, and that therefore the Earth is slowing down in it's orbit around the Sun, and is currently several "months" behind where it should be, in orbit?

1 few days ago i saw a "strange" definition of a decreasing function in the web, but i can't find it now. there were three relationships, and when showing that one implies another, you could tell that the function is decreasing. one relationship looked like this: f(x)=\frac{1}{x} does it look...

Simple statistical question. Lets say that we have set of values: 45 40 30 36 11 10 75 102 113 125 137 140 149 you can see that it has a good tendency to increase (even if we have decrease in the middle). But in set: 68 33 21 31 7 7 13 123 21 33 67 64 29 9 5 87...

Find intervals on which f(x)=-x^3 + 12x +5 , -3<x<3 is increasing and decreasing. Where does the function assume extreme values and what are these values ? does anybody knows how to do this??

decreases during the stage of mitosis...at which point specifically? Telophase?

cause the universe is expanding so it s doing work is increasing and the total Q energy in the universe is constant so Q(constant) = U + W(increasing) so U is decreasing?

If I decrease vf, will I deliver greater impulse?

the question is http://home.earthlink.net/~urban-xrisis/clip_image002.jpg The answer is A but I don't understand why the function g would be decreasing when x=2 and x=-2

Hello all y = \frac {1}{4} x^4 - \frac {2}{3}x^3 + \frac {1}{2}x^2 - 3 Find the exact intervals in which the function is (a) increasing (b) decreasing (c) concave up (d) concave down Then find (e) local extrema (f) inflection points So I found \frac {dy}{dx} = x^3 -...

Hello all If you are given the function y = x - 3e^-x^2 and you want to find the intervals where the function is increasing and decreasing, concavity, inflection points and any local extreme values, would I first find the derivative? My work If f(x) = x - 3e^-x^2 then f'(x) =...

Folks, This is the solution I have for a problem in my textbook regarding sequences. I just need to know whether I have the right idea in mind. Thank you very much! We can use an analogus function to show that the sequence given by a_{n+1} = \sqrt{2+a_n} \quad a_1 = \sqrt{2}...

Hi everyone, I have no background in Probability and Statistics, but I do understand some Calculus, so I think I will be able to understand your answer if you so choose to answer. The game is called Magic: The Gathering. In this game you build a deck of sixty cards or more, but sixty...

As a neutron star collapses further and neutron degeneracy pressure causes neutrons to increase in mass (by virtue of high speeds), if that mass increase weakens the force of gravity it could stop a singularity from forming.Is there any evidence that particles with large mass increases due...

US Population by Race: 1970: White 82.9% Hispanic 5.2% Black 11.1% Asian 0.7% 1980: White 79.8% Hispanic 6.4% Black 11.7% Asian 1.5% 1990: White 75.2% Hispanic 9% Black 12.1% Asian 2.9% 2000: White 69.1% Hispanic 12.5% Black 12.3% Asian 3.6% 2050 Projection: White...

In a capacitor, after it is charged and then after the switch is open, the voltage and current decreses. How does these decresing quantities affect the voltage across R, and therefore, how do they affect the current in the circuit?

i saw an article the other night on public television of the Earth's decreasing magnetism. does anyone have an idea what is going to happen in the next thousand years to the Earth's "blanket"? i understand it will renew back, as it has many times in the past, although the poles will shift, but...

Seems like value of each unit of money has been constantly and consistantly decreasing over history in the civilized world, how is this sustainable ? EDIT: Damn this post does not belong here but I can't delete it doh!