In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order theory.
I really can't find an answer to this. Listed on every package of food will be its nutritional values, including the amount of cholesterol you will ingest... Here's my question: If the body can ingest cholesterol and if HDL is the beneficial type, then why not sell HDL supplements at the health...
as i heard it, as an object increases velocity toward c, the mass of the object will increase as a result of the increasing energy which resulted from the increased speed. What is this speed relative to? - the object the speeding object departed from, or relative to an object in the direction...
Homework Statement
Suppose f is differentiable on [0,1] and that f(0)=0. Prove that if f' is increasing on (0,1) then f(x)/x is increasing on (0,1)
Homework Equations
The Attempt at a Solution
I've tried several things. I tried applying the definition of increasing on f', but I don't...
I was thinking of an idea in my head about a week ago, but it would need the rate of the expansion of the universe to increase over time (this is different from it just expanding at a constant rate). Today, i was reading about dark matter and it had stated that it might be the reason why the...
Homework Statement
problem: You're the operator of a 1.60×104 V rms, 60 Hz electrical substation. When you get to work one day, you see that the station is delivering 7.00 MW of power with a power factor of 0.920.
a) what is the rms current leaving the station?
b)how much series...
PLease see if you could help me over this..
I have a laser beam emanating from am aperture of 50 mm dia. The beam divergence being 0.4 mrad. If i now choose a situation where say instead of the conventional beam expander design to expand the beam size and reduce the beam divergence, i choose...
Let's say you're on a spaceship and you can accelerate to a speed very close to c. As your own time seems to slow down (relative to slow moving observers), your mass also increases.
I know that mass increases in the sense that one requires more energy to give the same acceleration, but does...
Homework Statement
Is the work W equal to 1/2mu^2 when the force is increasing in relation to time? For example, the acceleration of the mass at the end of the 1st sec is 1meter/sec^2, at the end of the 2nd sec is 2meters/sec^2, at the end of the 3rd sec is 3meters/sec^2 and so on. The...
Since each day we are illuminated by the sun, plants convert that energy into glucose etc does this indicate an increase in mass of the Earth if losses due to heat radiating out and gains such as meteors are ignored?
Homework Statement
I'm doing an assignment in Mathematica and I need some help understanding the question. I have a datasheet with temperatures for each month for the last 108 years:
http://www.knmi.nl/klimatologie/maandgegevens/datafiles/mndgeg_260_tg.txt
Question 3 was:
"Determine...
Homework Statement
When x=pi/4, the rate at which sinx^2 is increasing is k times the rate at which x is increasing. What is the value of k?
(answer is 1)
Homework Equations
The Attempt at a Solution
I plugged in pi/4 into sinx^2 and i got .5.
i also took the derivative of...
When an object moves by you, I know that its density is supposed to increase (at least that's what I was told by my physics teacher); however, I don't understand why. I understand why the density is greater in a moving reference frame relative to an observer at rest, but why does it continue to...
You can http://www.wunderground.com/history/airport/VECC/2009/4/21/DailyHistory.html?req_city=NA&req_state=NA&req_statename=NA" ) (scroll down to see the hourly observations) that the dewpoint goes down as the temperature increases and goes back up again as the temperature goes down. There seems...
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.
Hello all, this is my first post here and I am glad to be a new member of the PhysicsForums community! I have a question which I believe will be a good challenge for the bright minds here:
I am trying to create a system of Al-Air batteries to power a motor which will be hooked up to an rc car...
Homework Statement
(First of all sorry for my English, I don't know any scientific expressions in English...)
A Force given by the type F=5x + 5 (x at metres, F at Newtons) is applied to a body of mass m while it creates (the Force) an angle φ with the horizontal level. The coefficient of...
Newb here with a question. correct me if I've got anything wrong(I'm assuming I've got quite a number of errors here, so be patient)
I'm assuming that in a rocket, the energy release in the combustion chamber is directed 2 ways, up and down and the one that provides propulsion is the force...
I am trying to wrap my head around what it would take to bring water vapor to superheated state. It seems that if you had a vapor stream and shot it with continuous laser energy (CO2 or other gas laser) you could instantly create a high quality steam. I am teetering between buying a diode...
In my physics lab , we do our expt. : analysis of HYSTERESIS curve which requires a current of 1-2 A to magnetise the solenoid , now we have a ready made instrument for getting that value of current .
So what could i do manually in order to get that magnitude of current from AC mains which...
I'm working on a design for a certain kind of generator. My main issue is that based on how the generator works and the circumstances in which I am designing it for, I end up with the problem of having very little voltage but a whole lot of amps. My theoretical/ideal voltage is .065v, and my...
Hello everybody, I am new to this forum and cosmology in general.
My knowledge about cosmology and astro-physics is rudimentary :shy: so guys cut me some slack.
From the limited information I know , I feel that phenomenon of gravity leaking might be related to the phenomenon of the...
Homework Statement
Let f, f1, f2, f3, ... be continuous real-valued functions on the compact metric space E, with f = lim fn. Prove that if fi ≤ fj whenever i ≤ j, then f1, f2, ... converges uniformly.
The attempt at a solution
I was trying to reverse engineer the proof, but I'm stuck...
http://dl.getdropbox.com/u/119319/pully-1.jpg
the book says the answer is C because 'increasing the diameter of the pully decreases the amount of force required to pull rope A'. I don't understand why increasing the diameter of pully B does not have the same effect (i.e., why D is incorrect.)
Hey Guys,
I posted this in the Engineering forum, I thought this topic might fare better here.
Hello Everyone,
I am on a FIRST Robotics Team. This year, the game has presented us with a new challenge. The playing surface is made of rough plastic, but the wheels are hard smooth...
Hello Everyone,
I am on a FIRST Robotics Team. This year, the game has presented us with a new challenge. The playing surface is made of rough plastic, but the wheels are hard smooth plastic. Basically killing friction, or at least reducing it by 1/6.
Now, my question is how do 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
If you increase the temperature of an ideal gas, then
a. the average distance a molecule travels between collisions must increase
b. the pressure must increase
c. the speed of its molecules must increase
d. the average time between collisions of its molecule must...
http://img135.imageshack.us/img135/9429/asdaauh6.jpg
I'm not too sure about this, I thought as a example function e^x, where I can say as x gets larger then so does e^x and then so does its derivative at those values of x.
But what if it was a function where as x increased the function...
Homework Statement
Let f : R(real numbers) (arrow) (0,infinity) have the property that f ' (x) = f (x) for all x. Show that f is an increasing functions for all x.
Homework Equations
The Attempt at a Solution
I know that if f ' (x) > 0 , where all of x belongs to a,b (not...
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...
I need some clarification on definition of Entropy. According to the simple example of the egg in the kitchen, the entropy of the whole egg is lower than that of a cracked egg. This, it is said due to the fact that, there are more ways to be broken than a whole egg. But, if one talks of a...
1. What is the pressure needed to increase the melting temperature by 20 centigrade degrees?
Given: Molar Volume (solid) at normal melting temp is 18.92 cm^3
Given: Molar Volume (liquid) at normal melting temp is 19.47 cm^3
Homework Equations
delta H (s>l) = T(melting point)* delta S(s>l)...
General 3rd degree polynomial always increasing problem? Please Help!
What conditions on a, b, and c will make f(x)=ax^3+bx^2+cx+d always increasing?
For a function to be always increasing, the first derivative has to be always positive. So,
f1(x)=3ax^2+2bx+c>0
I tried finding the...
Hi all, my question is very basic and i am unable to digest it. Actually while explainiing the mechanism of joule thomson effect we say that when gas is forced to expand through porus plug, potential energy of gaseous molecules increases. From basic definition of potential energy we know that...
(A) being a common pivot point for (B) and (C). In relationship to (A), I would like to have (C) move twice the DEGREE OF ANGULAR movement as (B).
Any suggestions or thoughts on how I might accomplish this would be GREATLY APPRECIATED!
Hi everyone,
In a light bulb, as we increase the temperature of the light bulb, the colour produced by the light bulb changes from red to blue ( intensity vs frequency curve shifts to the left).
But if i want to have a red bulb with higher intensity ( i.e. brighter red) without...
If i have a series DC motor and at say X rpm it has a back emf of 11.5v and supply voltage of 12v and i increased the supply voltage (keeping rpm the same) would the back emf stay the same? and if not would the diffrence between back emf and supply increase?
Thank you.
I am slightly unsure about how the divergence can be increased by the use of either bi-concave or plano-concave lenses. I understand the general theory behind it but am having trouble putting numbers to it. e.g. if you have a laser beam with a diameter of 2mm and a divergence of 2mrad what...
I just want to verify that I have the right mindset here on the subject:
p=mv
You can increase the momentum as much as you want, but when v reaches the speed of light, it cannot increase any more, but since momentum is still increasing, that means the mass must be the one to increase, for...
Before we start, can you just explain how to start me off? I understand the idea of all limits, just a few tricky ones that were assigned for homework. (note: ALL limits are x --> infinity)
Homework Statement
lim ^{}\frac{10}{x}lim \frac{x^{2}+a^{2}}{x^{3}+a^{3}}lim (1 - r^{x}) , |r| < 1...
Homework Statement
Given the utility function u(x1,x2)= (x1)^a + (x2)^a where 0<a<1
Find the marginal substitution rate
Find the change in the marginal substitution rate when x2 is partially increased.
Homework Equations
Marginal rate of substitution: dx2/dx1=...
When describing where $sqrt{x}$ (square root of x) is increasing, it's from zero to infinity. But, do you say (0,inf) or [0, inf) ?
(I'm tutoring a student in pre-calc, and this came up. They don't know any calculus.)
In a situation like where is $x^2$ inc/dec, we'd say inc: (0, inf)...
i face difficulty in Q where we hav to arrange compounds/aromatic compounds in increasing order of acidity r basicity,please tell me easy way to solve such arranging sequences Q quickly.:confused:
Question:
A space shuttle is in an orbit about the Earth. At its apogee, it uses thrusters and increases its velocity by 400 m/sec. What is the new orbit semimajor axis, eccentricity and how much will the next perigee altitude be increased?
Known:
Original semimajor axis: 7000 km -> a...
Homework Statement
Order the following compounds in order of increasing lattice energy:
AlN, BaTe, KCl, Rb2Se
Homework Equations
The Attempt at a Solution
Ok I know that as the distance between the two nuclei decreases and as the charge of the cation and anion increase the lattice energy...
Homework Statement
This is probably easy but i can't seem to see how to make it work right now.
I am trying to show that if we have a function f:R-->R that is increasing, then for any interval [a,b], it is riemann-integrable.
I know it's true because a book I saw refers to another book...