What is Increasing: Definition and 468 Discussions

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.

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  1. W

    What Would Happen If Plank's Constant Was Increased by a Magnitude of 10^30?

    Homework Statement I'm curious to know what kind of macroscopic changes would happen by increasing Plank's Constant to about ħ=1.0x10-4. Assuming that the behavior of all objects on length scales smaller than 1 mm (1 millimeter) remains unchanged, I know changing Plank's constant would be...
  2. D

    Circular accelaration with increasing velocity?

    circular accelaration with increasing velocity? Homework Statement Object starts at rest at an angle of 0 degree's. the object is accelerated along a 45 degree arc with a radius of 2 meters to a speed of 7m/s at which point it is released. the object has a mass of .3 Kg. What is the equation...
  3. R

    Understanding Negative Velocity: Is Increasing Velocity Always Positive?

    Increasing velocity, when velocity is negative Basically, I just wanted to make sure I got this right. If velocity is negative, but the speed is decreasing, the velocity is increasing, right? On the other hand, if velocity is negative and is getting even more negative, then velocity is...
  4. MysticDude

    Increasing F-A-F Bond Angles: OF2, NF3, CF4, BeF3, BeF2

    Homework Statement Another chemistry question :D Arrange the following AFn species in order of increasing F-A-F bond angles: BeF3, BeF2, CF44, NF3, and OF2.Homework Equations The Attempt at a Solution Ok so I'm thinking that it would be OF2 first because it's bent and both of the lone pairs...
  5. X

    Prove an odd function is strictly increasing

    f:R->R is odd, if f(-x)=-f(x) for all x Show if f:R->R is odd and the restriction of this function to the interval [0, infinity) is strictly increasing Then f:R->R itself is strictly increasing I’m very confused about what the question is exactly asking for. From my understanding of the...
  6. I

    Stargazing Increasing the resolving power of a telescope

    I have a toy telescope, very poor objective aperture like 30mm, the image is very poor. I was wondering if I could increase it's resolving power by placing a convex lens with a larger aperture in front of the objective lens? The larger lens should converge more light rays onto the...
  7. N

    Earth Mass Increasing? Photons and Photosynthesis making more matter on earth?

    This is a question for whoever is out there. Is the Earth's mass ever increasing? I understand that under the Second Law of Thermodynamics, the Earth is a closed system, ie it exchanges energy with its environment, but not matter. So, my question is, if sunlight energy is constantly...
  8. M

    Proving Increasing Sequence or Showing Convergence of {a_n}

    Homework Statement Suppose that {a_n} is a bounded sequence of real numbers such that, for all n, a_n \leq \frac{a_{n-1}+a_{n+1}}{2}. Show that b_n=a_{n+1}-a_n is an increasing sequence. Otherwise show that {a_n} converges. Homework Equations The Attempt at a Solution I do not...
  9. M

    [tex]\Delta [/tex]Uand W, increasing the separation of capacitor, with V=const.?

    I expected it to be quite simple as it was without the battery, in which case \DeltaU = W, but now I am confused. with the separation increased from x to x+\Deltax, It is obvious that \DeltaU changes with 0.5[1/x - 1/(x+\Deltax)] since C changes with 1/r. (Without the common coefficient...
  10. K

    When will the entropy of universe(an isolated system) stop increasing?

    Consider the universe as an isolated system, its entropy always increase? when stop? dS=>dq\T, as dq=o in universe an isolated system, dS always bigger than zero. so increase nonstop?
  11. B

    Can the Li7 problem be resolved by increasing the dark matter ratio?

    Currently the WMAP results give a baryon:photon ratio of ~6.2x10-10, and a dark:baryonic mass ratio of ~5. When added to the energy density of photons + neutrinos (+dark energy at later times), the total density is then critical for a flat Universe. The BB nucleosynthesis analysis of the...
  12. L

    Help Needed: Increasing Water Heating Rate w/ 300W Element

    Hi , I have a question that's confusing and difficult to comprehend " A heating element is placed on the floor and bag of water is placed over it. At present, A power of 300W is applied to the heating element. Peter, the technician, wants to increase the rate at which the water in the...
  13. M

    Given as true f(x) = (1+1/x)^x is strictly increasing for x>=1

    Homework Statement Given as true f(x) = (1+1/x)^x is strictly increasing for x>=1 and that f(x) has horizontal asymptote y=e. Prove that (n/3)^n< n! <(n/2)^n for all integers n>=6 ? Homework Equations The Attempt at a Solution f(x)=(1+1/x)^x is increasing and approach e prove (n/3)^n< n...
  14. R

    Terminal velocity of falling drop with increasing mass

    I m solving the problem in which the drop is falling from some height and its size is increasing with the rate dm/dt=kMv where v is the velocity of the drop at that instant , so we have to find the terminal velocity of the drop gained due to air drag, The problem is that if the drop gains...
  15. A

    Positive derivative and strictly increasing

    Isn't it true that if a function f(t) satisfies f'(t) > 0 on some interval, then f is STRICTLY increasing on that interval; i.e., that s < t implies that f(s) < f(t)?
  16. N

    Increasing wave speed on a tring

    To increase wave speed on a string i would have to decrease the frequency and the string thickness correct? the string thickness would not make an impact correct?
  17. N

    Exploring Entropy: How is the Universe Increasing in Disorder?

    For example, an increase in the entropy of the system will be exactly equal to the entropy decrease of the surroundings. So the net change in the entropy of the system and its surroundings is zero. Putting this in perspective to all the systems and environments in our universe, how is the...
  18. L

    Another E=1/2mv^2 dilemma increasing energy required?

    It seems to tell us that it takes more and more energy to increase by the same amount of speed. I don't actually expend 3 times as much gas accelerating my car from 50 to 100 as I did going from 0 to 50:If e=1/2mv2, it tells us how much 'kinetic' energy exists within a moving object -say...
  19. P

    Increasing dynamic pressure in a pipe

    I'm starting a project involving a venturi and water, and for the venturi, I need the water pressure to be around 7-10 psi. This means for my water pump, the head height must be around 15-20 ft. Most pumps that fulfill this requirement are either too expensive or are too powerful for my...
  20. N

    Entropy: Increase in Energy, Decrease in Temp?

    Second law of thermo- dS = δq /T Getting what I think straight: it was extremely hot at the big bang, and all matter existed within the "sphere" or whatever you wish to call the point. There was nothing outside this, so the average temperature was incredibly high. As the universe expanded...
  21. Y

    Will a sprinter's speed keep increasing all the time?

    when a sprinter starts running he applies force to overcome fraction and air drag. is his speed keeps going up as F=ma governs to? if he's stamina was enough to fuel him for hours will his speed will keep going up and up even though he applies a constant force until the air drag force becomes so...
  22. S

    Prove a composite function is increasing

    Homework Statement Hi, I have trouble proving this claim and would really appreciate your help =). Thank you in advance! So here's the question: Suppose that f is a continuous function for all x>= 0 and differentiable for all x> 0. Also, f(0) = 0 and f' (1st derivative of f) is increasing on...
  23. L

    Derivative of monotone increasing and bounded f

    Let f is monotone increasing, bounded, and differentiable on (a,inf) Then does it necessarily follow that lim(f'(x),x,inf)=0 ? It is hard to guess intuitively or imagine a counterexample...
  24. I

    At what rate is this function increasing?

    When x = 16,the rate at which \sqrt x is increasing is \frac {1}{k} times the rate at which x is increasing. What is the value of k?
  25. D

    Disorder: Is it really increasing?

    Scientists say disorder is increasing? How come that we have well-orderd galaxies (from randomness) with the passage of time (many are in the process of evolution)? How come elememts have combined together to form cells and eventually living beings. How come humanbeings have started to...
  26. H

    Fluid Dynamics - Increasing Outlet Pressure

    Hi everyone, I am new to the forum, so please instruct me if I commit any posting faux pas in my first post. Here is my dilemma: I have an oxygen concentrator that outputs .5-5 liters per minute of 95% concentrated oxygen at 5 - 7 PSI. This is just fine for medical use, but I am trying to...
  27. M

    Increasing the volume of solution lowers experimental error?

    Homework Statement This was part of a lab i preformed to determine rate law for HCl and Mg. 50 mL of 0.5M, 1M, 1.5M and 2M HCl solutions were made using water and this was used with Mg ribbon to find the rate law. The same 0.5M, 1M, 1.5M, 2M HCl solutions were made in 100mL solution that...
  28. B

    Twitter: increasing traffic to my website

    What is the best method to increase visitors to my website from Twitter?
  29. J

    Mathematica Increasing Legibility of Legend Lines in Mathematica

    Hi, can anyone tell me, how to make the lines in a legend more legible (or larger)? When I am making a legend, the colored lines are too faint, so that I can't see what they refer to. Thank you, Juliane
  30. J

    Increasing and Decreasing Functions (max/min)

    Homework Statement Find a > 0 so that the curves y = sin ax and y = cos ax intersect at right angles (let them intersect at (x0, y0)). 2. The attempt at a solution Thinking about the unit circle, if theta equals pi/4, then sin theta and cos theta would intersect at right angles at...
  31. K

    Monotonic increasing or monotonic decreasing

    Homework Statement 1. Determine whether the sequence {an} = n+(1/n) is monotonic increasing or monotonic decreasing. Homework Equations The Attempt at a Solution I plugged in some digits and got this a1=2 a2=5/2=2.5 a3=10/3=3.3333333 a4=17/4=4.25 a5=26/5=5.2 I drew the...
  32. E

    Wavelengths increasing with space?

    please could somebody please explain how and why the wavelengths of photons increase with the expansion of space? thanks. i thought i understood the whole expansion acording to the Hubble law and the scale factor thing, and the surface of last scattering, and the redshift, but this...
  33. S

    Increasing magnitude of the charge

    Homework Statement Four pairs of conducting spheres, all with the same radius, are shown in the figure, along with the net charge placed on them initially. The spheres in each pair are now brought into contact, allowing charge to transfer between them. Rank the pairs of spheres in order of...
  34. S

    Why Temperature increases by increasing pressure?

    Temperature of gas is due to kinetic energy of molecule & pressure is due to molecule collide to container wall with some kinetic energy. If I decrease volume of container it increase pressure & Temperature. For pressure it is clear that more no. of molecule is struck to container wall due to...
  35. K

    Increasing voltage with no error.

    I am trying to install larger better lights inside my car, it runs at 3.5volts sometimes, and at 10.25volts sometimes. I am trying to take the voltage up to 12+volts so I can use a relay. I used a 32v 4700uf capictor and it gave it enough power to activate the relay, but then the car doesn't get...
  36. S

    Increasing Function Homework: Largest Interval

    Homework Statement The largest interval on which the function f(x) = x2 + 4x + 2 is increasing is a. [0, ~) b. (-~, 0] c. [-2, ~) d. (-~, -2] e. (-2, ~)Homework Equations differentiationThe Attempt at a Solution I am not sure the answer is (c) or (e). The condition that the function is...
  37. A

    Increase File Size: A Guy I Knew

    Anyone know how to increase the size of a file, without actually increasing the space occupied on disk. I knew a guy who did this.
  38. B

    What are the disadvantages of increasing the diameter of a cylinder?

    Homework Statement A larger diameter cylinder produces more force. Can you suggest several disadvantages of increasing the diameter of a cylinder? The Attempt at a Solution All I can think of is that there's limited range of motion meaning the cylinder wouldn't be able to move that...
  39. M

    Work Done by Increasing Plate Distance of Flat Capacitor

    Homework Statement Flat capacitor with a plates distanced d = 2 cm and the area A= 1 dm² are connected to a voltage U = 100 V. We disconnect the source of voltage and we increase the distance between the plates to twice the distance. How much work is done? Homework Equations C= ε*A/ d...
  40. L

    Why Does 0 Velocity and Negative Acceleration = Increasing Speed?

    Homework Statement Why Does 0 Velocity and Negative Acceleration = Increasing Speed? Homework Equations None The Attempt at a Solution I am using Halliday and Resnick (5th Edition), and the anwer key in the back says that speed is increasing at the point when velocity is zero...
  41. Jim Kata

    Increasing entropy vs groundstate

    Atoms and molecules like to be in their ground state, that is its most probabilistic for them to be in the ground state, but the entropy of an isolated system is always increasing. Which implies, to my understanding, all states should be equally likely. There is something I'm definitely...
  42. H

    Torque acting on Satellite, why isn't omega increasing?

    Torque acting on Satellite, why isn't omega increasing? Hey guys, HW help problem here, we have a satellite rotating at some constant angular rate, and we are asked to calculate the torque required to maintain said motion. I am able to do this, given the principal Moments of Inertia for the...
  43. S

    Work-Energy Theorem: Effect of increasing speed vs stopping distance.

    Homework Statement If the speed of a car is increased by 50%, by what factor will the minimum braking distance be increased assuming all else is the same? Ignore the driver's reaction time. Homework Equations W = Fd \cdot cos\theta W = \Delta{E_k} The Attempt at a Solution...
  44. S

    Mathematica Mathematica: find mean value of an increasing list

    I have a list L={a_{1}, ..., a_{n}}. I would like to find the mean of L_{i} := {a_{1}, ... , a_{i}} for each 1<i<n, and then plot the means. How do to do that in a smart way?
  45. B

    How Does Changing Wire Resistance Affect EMF in an AC Generator?

    Homework Statement This is the solution to one of the problems I came across: In an AC generator, a coil spins in a magnetic field. Of the following choices, circle the one that will not cause an increase in the EMF generated in the coil? a. replacing the coil wire with one of lower...
  46. O

    Maximizing Profit: Exploring Mathematical Strategies for Business Success

    Hi I know about calculus, but what other mathematical methods can be used to increase profit? Thanks
  47. G

    Increasing vapor pressure in water

    Why does adding salt to water increase the vapor pressure? Does increasing the volume of water increase the vapor pressure?
  48. T

    Voltage at Vab, balancing, Increasing

    Homework Statement R1=350 Ohms R2=120 Ohms R3=124 Ohms R4=350 Ohms A is between R1 and R4, while B is between R2 and R3. SORRY FOR NOT HAVING IT IN THE PICTURE For the following circuit what is Vab? Now balance the circuit so Vab=0. After balancing what are the values of a shunt...
  49. L

    K_sp ; increasing pH with given [OH]

    1. State the Problem A water initially contains 40 mg/L of Mg2+. The pH of the water is increased until the concentration of hydroxide ions (OH-) is 0.001000 M. What is the concentration of magnesium ion in this water at this pH? Give you answer in milligrams per liter. Assume that the...
  50. E

    Why CuNi have decreasing resistivity with increasing temperature? (quick ans needed)

    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!
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