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. M

    Finding Values of a Function (increasing, decreasing, IPs, etc.)

    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 -...
  2. B

    How Do You Calculate Total Seats in a Concert Hall with Increasing Row Sizes?

    Increasing Row Size... Homework Statement There are 150 rows at a concert hall. Each row you move back there is an increase of 10% in the number of seats. The first row has 100 seats. How many seats are there in the concert hall?Homework Equations I don't know the equation to represent this...
  3. T

    Increasing Stationary Radio's Reception

    A stereo receives its FM radio reception from a small wire strewn out the back. How do I increase the reception? Would I need a bigger wire, longer wire, or is there some other way to increase its reception? The wire is removable; it clips into a metallic contact built into the stereo
  4. W

    Determine whether the sequences are increasing

    Homework Statement Determine whether the sequences are increasing, decreasing, or not monotonic. 1) an= \frac{\sqrt{n+2}}{4n+2} 2) an=\frac{1}{4n+2} 3) an=\frac{cosn}{2^{n}} 4) an=\frac{n-2}{n+2} Homework Equations The Attempt at a Solution I thought that the number 1 and 2 were...
  5. P

    Increasing Spin: Ice Skater's Formula Revealed

    any one know the formula for an ice skater in an increasing spin
  6. T

    Increasing efficiency of PV cell

    Dear peeps, i am currently facing a problem here. i am tasked to place PV cells within an area and maximize the efficiency of PV cell by focusing sunlight on the cell itself. I am wondering if it is possible. I am thinking of placing 3 cells in a U shape. 1 at the bottom facing up and 2 at the...
  7. M

    Acceleration down slope constant or increasing?

    Just a simple question, there's a mass on an incline surface and if the parallel force is greater than the frictional force would the mass be accelerating at a constant rate or increasing rate?
  8. R

    Non-ideal Gas: Withdrawing gas from bottle with increasing temperature

    Homework Statement A gas mixture (80.1 mol% CO2, 12.2 mol% CO and balance Ar) is stored in a gas bottle. The volume of the gas bottle is 317.0 liters. Initially the pressure of the gas in the bottle is 14.2 MPa and the temperature is 25.3 °C Qn: The gas is being withdrawn from the bottle at...
  9. J

    Stationary point charge in increasing magnetic field

    hi everyone, if a stationary point charge is placed in an increasing magnetic field, is the force on the charge due to the magnetic field = 0? because Fb = qv*B and v=0 then how would I derive the magnitude of the force on the charge due to the magnetic field with the magnetic field...
  10. M

    Increasing temperature of an organ pipe

    If the temperature of an organ pipe is increased above room temperature thereby increasing the speed of sound waves in the pipe but not affecting the length of the pipe significantly, what effect does this have in the frequency of the standing waves produced by the pipe? My attempt If the...
  11. cepheid

    What causes the feedback (a noise increasing in intensity and pitch)?

    What causes the feedback (a noise increasing in intensity and pitch) sometimes heard when people speak through microphones? I'm sure I have enough background to understand an explanation, I've just never thought about it before.
  12. R

    Increasing Stride Length/Height with Hydraulic-Eddy Current Device

    Hello I am quite a physics noob and the following is something I wouldn't bet on but is more of physics concept practice. But if it works, great! Specific questions/problems that I would like an answer to will be denoted by a number and the blue twirling smiley(:rofl:), for your convenience...
  13. T

    Intervals where the function is increasing

    Homework Statement For the function f(x)=xln(x²), x≠0 The Attempt at a Solution f'(x)=2+ln(x²) For the function to be increasing f'(x)>0 2+ln(x²)>0 ln(x²)>-2 x²>e^(-2) Taking square roots of both sides ±x>±(1/e) How can I find the intervals from this? (Somebody has...
  14. A

    Can I Increase Torque on My Grinder/Polisher Without Changing Speed?

    Hi, I took apart my grinder/polisher and adjusted a small pot in there and it lowered the speed right down which will be useful for my car as a paint flatter. Only problem is it lacks torque. I was wondering if it is possible to increase the torque. Access is ok and the project is a realistic...
  15. B

    Curve with ever increasing radius

    Cannot remember the name of a curve that begins with a lesser radius and tangents off into an ever increasing radius until it is almost a straight line. Very commonly used in art deco design. Thanks for your help.
  16. A

    What rate is x^4 increasing when x=4?

    If x is positive and increasing at a rate of 2 units per second, at what rate is x^4 increasing when x=4? I don't even know how to start. If you can help me I would be greatful.
  17. D

    Finding the Equation for an Increasing Magnitude Pattern

    Ok. K this equation I am suppose to make has to variables The magnitude is increasing at a certain rate. It is a pattern. I need to find an equation for this pattern Say we have: r^0 r^1 r^3 r^6 r^10 Ok. As you can see, the added magnitude is increasing by 1 everytime. I need to...
  18. N

    Understanding Relativity: Increasing Speed

    Hi, I have only had a personal interest in physics so far and have yet to complete so much as one basic introductory physics course. I'm in second semester calculus, so I'm not hopeless on some fronts of understanding terms or mathematical ideas, but I have yet to understand what a manifold is...
  19. M

    Building a Balloon Car: Increasing Speed

    Hi All, I'm building a balloon car and I'm in need of ways to increase the speed of the car. Here's a description: Attach a balloon to a car. Rave the balloon powered car over 3 meters. The car must move on its wheels and the sole source of propulsion must be provided by the balloon...
  20. L

    Free energy? increasing speed of a fluid in a nozzle

    I have a tube 1 m long and 1 m wide with an ideal fluid inside with a pressure of 1 bar. I conect that tube of 1*1m with another tube of 1m long and 0.5m wide and this connected to another tube of 1 m and 0.25 m wide and so on So i have a tube in which every 1 m of length the wideness of...
  21. P

    Show that a function is increasing

    Hi, I'm in need of some help putting together this proof. I'm not sure if it's just harder than it looks, or I need to spend more time learning how to put them together. Homework Statement Show that f(x) = 9x^2 + 3x is strictly increasing on the interval (0, 10] Homework Equations...
  22. S

    Effect of Increasing Wire Width on Resistance

    What is the effect of increasing the width of a wire on it's resistance, and why? Thanks Neil
  23. J

    Increasing current by a factor of 48

    Homework Statement Given a circuit with one battery and a single resistor. The circuit has a battery voltage of V, a total current I and resistance R. To increase the current by a factor of 48.0 then by what factor will the voltage need to be increased? A. 12.0 B. 90.0 C. 65.0 D...
  24. H

    List of increasing integers algorithm

    Specify the steps of an algorithm that locates an element in a list of increasing integers by successively splitting the list into four sublists of equal (or as close to equal as possible) size, and restricting the search to the appropriate piece. (Hint: see binary search algorithm.) can...
  25. H

    Is the entropy in the universe increasing?

    I have been stuck on the question for so long...please can you see if you can help me out.:smile: Is the entropy in the universe increasing? If yes, when did entropy start increasing? if no, what is happening to entropy in the universe? Thank you very much for any help.
  26. K

    Increasing speed by 5 mph saves 10 mins?

    If a person drives the same distance twice, and saves 10 mins by driving 5mph more the second time, what is the distance and the speeds?
  27. D

    Are the Limits of an Increasing Function the Same?

    A function f : A ->R is increasing if f(x) <= f(y) for every x, y in A such that x <= y. Suppose that f : [a, b] -> R is increasing and that a < c < b. i want to shat that : lim f(x) = sup{f(x) | a <= x < c} and x->c- limf(x) = inf{f(x) | c < x <= b}. x->c+ and whether these...
  28. C

    Adding energy for enthelpies of formation by increasing velocity?

    I have no idea whether or not this is a ridiculous question, so I am just going to ask it. My question is based on the concept that energy must be added to ions to get them to form compounds (such as the formation of hydrogen iodide). Typically (or so my chemistry textbook says), the addition...
  29. C

    Increasing comforts - > Decreasing Happiness ?

    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...
  30. O

    Does Increasing Ramp Angle Double Ball Speed?

    A ball is rolled down a frictionless incline at some angle \theta below the horizontal. If you increase the angle of the incline by a factor of two (make the ramp steeper downward by twice as much), does the ball roll down at double the speed? Here is what I said: No. because of the following...
  31. T

    Increasing supply and return temperatures

    I'm trying to find the size of pipes that are to carry a certain amount of heat in them, 6000 W. This formula should give me the amount of water needed: m=W/(4200*delta T) Delta T is 20 degrees (the diff between supply and return), but what I don't get is that if I increase the supply and...
  32. G

    Increasing the amount of volts would have an effect

    Hi If anyone know's something about electromagnets. I was wondering if you could either explane to me, or show me where I could find some information about whether or not icreasing the amount of volt's would have an effect on how strong the electromagnet would be. That would be great!
  33. P

    Shouldn't that radiation be absorbed increasing O2 kinetic energy?

    O2 + 8,3x10^-19 J -> O + O My textbooks says: My question is: Shouldn't that radiation be absorbed increasing O2 kinetic energy? If not, why? Thank you.:approve:
  34. A

    The Strong Nuclear Force: Increasing with Distance?

    My (high school) physics teacher was telling us about quarks and how the colour force between quarks is responsible for the strong nuclear force among baryons. He also claimed that unlike other forces, this force became stronger over a distance which is why it requires a lot of energy to...
  35. M

    Distance between earth and moon increasing

    I learned that the distance betwee the Moon and the Earth is increasing but I couldn't find the reason for it, Is it because of the Earth's orbit? I mean that when the distance is minimum , causes the moon to move towards the sun ( Newtonian laws ) and even when the distance becomes maximum the...
  36. A

    Value of increasing or decreasing of the set

    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...
  37. L

    Why do doctors and lawyers make more money than physicists?

    We've discussed this before, physicsts aren't the highest paid proffesionals. Well to look at matters more, neither are engineers,programers,technogis or scientests. The average was about 50K for beginners and the highest was 120K fir seniors. WHile higher than the average population not...
  38. T

    Where is x^3 + 12x + 5 increasing and decreasing

    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??
  39. B

    Momentum change by increasing time of impact

    hi, thank you for helping For same momentum change if we increase the time of impact by factor ten then force is smaller by factor ten. But why is that? I mean why doesn't a moving object at point of impact give away all of its momentum at the instant it hits something,no matter if that...
  40. S

    Seeking Advice on Increasing Electric Motor Power Output

    Hi there. Im afraid i know very little about electrical engineering:confused: , hence why I am here, but any help / direction / suggested reading would be much appreciated! Like i say, sorry if this is a completely stupid question:blushing: , but if you don't ask you don't get right? and who...
  41. P

    Increasing Melanin: Can Diet Help?

    I am currently very pale and try to get as much sun exposure as i can without getting burnt but i never seem to get dark most probably due to my genes as i have blonde hair and blue eyes. Is there anything I can eat which will increase melanin production?
  42. I

    Constructing an Increasing Sequence to Prove a Limit is Positive Infinity

    Suppose f:[a,b)->R is such that lim(x->b-)=+inf. Prove that there exists an increasing sequence {x_n} in (a,b) such that f(x_n)>n for all n. I don't know where to start. It would be easy if I can prove that f is strictly increasing after some point. f might not be continuous so I can't simply...
  43. M

    Maximizing Fuel Efficiency for Your Vehicle: Tips and Modifications

    I've been reading a lot lately about how people have vehicles that have a really good fuel economy. Some even seem considerably better than what the normal car can get. It makes me wonder if there are modifications being done to achieve this. I drive a 2000 GMC Sierra Z-71 5.3L truck...
  44. P

    Increasing Induced Current in Mutual Induction

    In mutual induction, how can we increase the induced current, not e.m.f.?
  45. P

    Diffraction by single slit - effect of increasing the slit width

    For diffraction by a single slit, what is the effect of increasing (a) the slit width, and (b) the wavelength? It was a problem on my daughter's final and I never seemed to be able to answer it for her. :confused:
  46. M

    If a magnetic field is increasing, will a charge in that field accelerate?

    I don't know what would happen.. Fm = qvBsin(theta) If B is increasing, will velocity of a charge increase? Or will only its radius decrease? Or both? Fc = Fm mv^2/R = qvB mv/qR = B anyone know? *acceleration was a bad choice of wording :) I mean will velocity increase..
  47. H

    Increasing the speed of an ac motor

    Hey. I was doing a question and it asked what would be the graph of an AC motor if the speed was doubled. (the previous period was 10 ms). I think that the frequency would be doubled but would anything happen to the amplitude?
  48. E

    Increasing G during the formation of helium.

    A hypothetical question: Say that Newton's constant G is increased a bit during the period between weak interaction decoupling and the time when photodisintegration becomes ineffective, and the helium is formed. (I.e. during the period when neutrons just decay). Would that give a larger or...
  49. S

    Increasing Air Temperature in a Small Metal Box

    If you have air moving at 10-20 meters/second through a very small (8mm3 volume) metal box open on both ends and you want to increase its temperature by around 1.3 times as it passes through the box, what is the most efficient way to do it taking into account the heat lost to the box...
  50. Clausius2

    How can I optimize my computer for heavy calculations in Matlab?

    I usually employ a Toshiba portable computer of 2.8Ghz and 500MB RAM to make heavy calculations of Computational Fluid Dynamics. It runs under Windows XP Home. I was wondering how can I improve the capacity of dealing with data of my computer. The fact is I use mainly Matlab v6.5...
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