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. C

    Increasing and Decreasing Functions

    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 -...
  2. C

    Increasing and Decreasing Intervals

    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) =...
  3. G

    Sliding Box: Constant Speed or Increasing?

    Let say we have a sliding box. The box is sliding because of an constant force perpendicular to the box. There is no friction and no air restistance. Does the speed of the box increase or is it constant. ?
  4. D

    Is an analogus function useful for proving sequence monotonicity?

    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}...
  5. Monique

    Increasing capacity of hard drive partition

    I partitioned my hard drive into two sectors (I installed windows on one).. it turns out to be too small (sp2 makes a backup of the whole system :rolleyes:).. I'm at a loss how to redistribute the size though :uhh: Anyone a clue? I'm running Windows XP (I guess I need to go into BIOS at...
  6. R

    Increasing mass, decreasing force?

    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...
  7. ExtravagantDreams

    Max Angle for Increasing Distance Projectile

    I'm having trouble getting the answer without doing a guess and check. Q: Find the maximum angle a projectile can be shot so that it's distance from the origin is always increasing. Air resistance negleced. So there is the x and y position based on initial velocity, angle, and time, but I...
  8. D

    Can We Cool, Without Increasing Warming?

    This has to do with global warming, and a new solution to cooling buildings in Toronto. I read today where the near freezing water from the bottom of Lake Ontario will be channeled into large buildings in Toronto to cool them, thereby decreasing the need for traditional, air conditioning, and a...
  9. Clausius2

    MATLAB Out of Memory: Increasing Matlab's Virtual Memory

    I'm furious with Matlab. when I reach a 1*10.000 array or similar figures it says to me: "out of memory". Does anybody know how I can do larger the virtual memory dedicated to this programe?. I have a 40 GB and 500Mb RAM computer, so it would be enough for eating anything!.
  10. R

    Increasing Laser Power - Can Mirrors Create Infinite Power?

    if you take a laser and shine it into another set of mirrors so that the light shoots out of the opposite end through which the laser first went into the second set of mirrors, would it be more powerful than when it started (the second set of mirrors would have a lasing medium)? if so, could you...
  11. S

    Increasing Voltage of Potato Battery in Chemistry Class

    hey guys what's up? just recently I've been working on this potato battery thingy in chemistry class and the highest i can get it is 15 volts. i knwo there are a lot of variables involved but are there any suggestions that you might think would help achieve a higher voltage? i was thinkin of...
  12. N

    Methane On Mars (Keeps Increasing)

    Every time a measurement is made – the methane level rises. Most people on this Forum think I’m a loon. I’m a loon that gets it right an awful lot of the time; From the below Physics link; https://www.physicsforums.com/showthread.php?t=16799 Check wrote; “Anyone want to take a guess?”...
  13. S

    Does mass truly increase with energy according to special relativity?

    The first of my two questions concerns the aspect of SR that deals with the mass of an object increasing as is moves faster and faster (or more appropriately, as the energy gets larger and larger). I'm a novice when it comes to higher level physics, and everything I know comes from reading books...
  14. D

    Increasing expantional speed of the universe

    According to the best current data available to cosmologists today, the universe is not only expanding, but the speed of which it does so is increasing. This is well-known but the cause for it is not. There are many different theories, from dark matter and dark energy to ideas revolving...
  15. 8

    Equation that predicts the increasing values of mass

    Is there an equation that predicts the increasing values of mass of a spinning top that is increasing its velocity steadily towards " c ".
  16. Monique

    Incidence whooping cough increasing in US

    The number of registered cases of whooping cough in the United States has increased significantly. Especially children under the age of 5 months are at the most risk, since they haven't been fully vaccinated against the disease. The number of cases was 19,798 in the '90s, an increase of 49%...
  17. G

    How Do You Calculate Distance Traveled and Minimum Stopping Acceleration?

    The Graph above shows the speed of a car traveling in a straight line as a function of time. (Sorry no graph) The car accelerates uniformly and reaches a speed Vb of 3.20 m/s in 8.00 seconds. Calculate the distance traveled by the car from a time of 1.80 to 3.60 seconds. Im not sure what...
  18. B

    Rotation and increasing radius

    Let's say that there is a spoked wheel but the spokes are tubes with freely moving masses inside and that there is no friction. Given a certain fixed angular velocity, what I want to find is the final radius after a certain angle of rotation (assume 270 degrees). An assumption is made that the...
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