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.
TL;DR Summary: related rates problem
The radius of a cylinder is increasing at a constant rate of 3 meters per minute. The volume remains a constant 1115 cubic meters. At the instant when the height of the cylinder is 44 meters, what is the rate of change of the height?
Please walk me step by step on how to do it (we don't have imaginary numbers so don't bring that up)
Also how to put signs on the numbers line when I get minus in the root? (non solveable equation)
Sorry for my English.
For this,
I first try to work out where function is increasing
My working is
##f'(x) = 12x^3 - 12x^2 - 24x##
For increasing,
##12x(x^2 - x - 2) > 0##
##12x > 0## and ##(x - 2)(x + 1) > 0##
##x > 0## and ##x > 2## and ##x > -1##
However, how do I combine those facts into a single domain...
Relevant code:
if (food.x === snake[0].x && food.y === snake[0].y) {
// increase the size of the snake
snake.push({
x: snake[snake.length - 1].x,
y: snake[snake.length - 1].y });
where snake is an array of objects. Each object is x and y coordinates of snake position...
Here's the full code.
snakeArr.unshift({ x: snakeArr[0].x + inputDir.x, y: snakeArr[0].y + inputDir.y })
This is the code to increase the size of snake once it collides with food.
The code above it and below it, sound play when food is eaten and changing food location when food is eaten are...
I was reading an article by Edward Harrison, which tackles the problems of conservation of energy at cosmological scales.
At some part (point 2.4) he cites several article, including one by Rees and Gott, which he says indicates that the internal energy of a comoving volume (e.g. a cosmic...
I am new to this forum and in line with its rules I am trying not to repeat a question already asked. I find that Jeremyfiennes original question I.e
Experimental evidence for effective mass increasing with speed”
is the question I want to ask but I am not satisfied with the answers given so...
Hello, I was wondering, for a fixed amount of water, why when the height of a water tower increases, the water pressure at the outlet of the pipe at the base of the tower increases ?
I have often read on the internet that it would be caused by the weight of the water above the water at the base...
I was reading an article by Edward Harrison, which tackles the problems of conservation of energy at cosmological scales.
At some point (point 2.4) he cites several article, including one by Rees and Gott, which he says indicates that the internal energy of a comoving volume (e.g. a cosmic...
hi. I have a question regarding rheology. the Reynolds number increases when density of a fluid increases. so the flow becomes more turbulent. but I wonder why it is that the flow becomes more turbulent when density increases. why is that?
I'm making a program that generates lines in 3D space. One feature that I need is to have an incrementally increasing angle on a line (a bending line / curve).
The problem is simple if the line exists in the xy-plane, then it would be a case of stepping say 1m, increase the azimuthal angle φ...
How can one maximise one's confidence in the results of a theoretical calculation? After long and fiddly calculations I often encounter an uneasy feeling where I find it difficult to confirm whether the fruits of all that labour are actually correct. The first ports of call are always:
-...
Given are non-negative integer variables ##x##, ##y## and ##z##. I am trying to deduce the absolute difference between a certain value of ##C=x^2+y^2+z^2## and the very next smallest increase in ##C## possible.
I'd like to do this so I can (dis)prove the following:
Whether small absolute...
What are intervals of which the function $g(t)=3t^2-5t+1$
a. find the vertex convert to vertex form $g(t)=a(t-h)^2-k$
\item $g(t)=3\left(t-\dfrac{5}{3}t+\left(\dfrac{5}{6}\right)^2\right)
+1-\dfrac{25}{12}
=3\left(t-\dfrac{5}{6}\right)^2-\dfrac{13}{12}$
b. the parabola opens up and the vertex is...
Attached here is the full problem I am doing.
I went through the problem and got my final answer which I thought was correct. Here is my work. They tell me I am wrong. Not sure where is the mistake.
As I understand it only in mice do precursors like nmn and nr readily get turned into NAD+ in the cells. But not so much in humans? What keeps NAD+ levels from increasing in people in any meaningful way?
What is the best recent experimental evidence for effective mass increase (momentum/velocity) with speed, with experimental details? Searching the web all I find is either very old ones (early 1900s). Or vague generalized statements like (Wikipedia) "Many additional experiments concerning the...
Yes, heat can flow into a body without increasing the mean kinetic energy of its molecules. Transferring heat energy to an object will raise its internal energy, this will not necessarily cause an increase in temperture. Specific latent heat is the energy required to change the state of one...
Using this stimulation: https://phet.colorado.edu/sims/html/wave-on-a-string/latest/wave-on-a-string_en.html
It looks like frequency is decreasing as I increase tension but online it says frequency increases as tension does. Also, I am unsure about what happens to the Period
I was looking into companies or startups that were doing things with motors to improve efficiency. I stumbled upon Turntide Technologies, which has a partnership with Amazon. Turntide is making a software-driven motor that "enables precise and reliable control to effectively use every watt of...
A short primer for the topic can be found here:
https://econ243.academic.wlu.edu/2017/04/07/disruptive-deflationary-technology/
Mainly the gist of the issue has to do with technology such as, cell phones, the internet, artificial intelligence, automated services, increasing efficiency and...
Here I'm going to show all that I've understood -
1.
2.
3.
What I've attempted -
L = Lo (1+ α * ẟT)
ẟT = 150°C - 15°C = 135°C
(Steel) L = ẟL (1 + 11 * 10^-6 * 135)
(Copper) L = ẟL (1 + 17 * 10^-6 * 135)
This doesn't get me anywhere, obviously.
Am I supposed to understand from the...
Hi, I'm new to PF and not really sure which forum may be the most appropriate to find people with an interest in probability and entropy. But the title of this forum looks promising. If you share an interest in this topic would be delighted to hear from you.
Hello all,
Is this statement true ? Is every increasing monotonic function in a closed interval also continuous ?
How do you prove such a thing ?
Thank you !
I am working on related rates problems involving figuring out how area of a square increases per second based on how much one side increases per second (or how the area of a circle increases based on increase of the radius, etc.). I was wondering about the practical significance of problems like...
Hello Everybody!
I am new to electrical engineering and only had 1 formal intro class on the subject (albeit I did very well in it) and have found myself in a position where I need to design a circuit for a micro reflex sight I have been designing. So let me first describe how my competitors...
Source: paper
When the cells were transfected with miRNA-mimic it increased the miRNA expression. Is this increase due to the activity of RNA-dependent RNA polymerase, which generates secondary miRNAs?
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CV19 infection numbers are increasing substantially throughout the world, but deaths from the virus are steadily decreasing, why is this?
Does this mean that the virus is becoming less virulent?
Hello everybody!
I want to check out if I've solved correctly:
##\Delta{V}=-E\Delta{x}##
##\dfrac{\Delta{V}}{\Delta{x}}=-E##
##\dfrac{15\;V}{10^{-2}\;m}=-E##
##1,5\times{10^3}\;N/C=-E##
##\vec{E}## direction it's oriented into the XY plane
Thanks!
I think that the range of a howitzer be increased simply by adding more explosive propellant. Why is this not used? I would think that this would be a straightforward way to increase the gun's effective range. Any ideas?
Hello,
I want to know what is the incresing and decreasing interval of this even function $|e^x+e^{-x}|?$
If any member knows the correct answer, may reply to this question.
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I need ideas to fullproof the longevity factor on this fence. I am aiming to get to...
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Hello everyone,
I see videos showing the output torque can be increased by using gears and this is usually demonstrated with DC motors (simple DC motors can be removed from toys). I understand the general logic:
* The DC rotates in a high speed.
* The gear system reduces the output speed.
* If...
A known force is doubling (egal) over a known distance, accelerating a mass.
How do I calculate the final velocity of the mass at the end of the known distance , when the mass has doubled? I don't know the time.
The mass is accelerated from 0 meter and from 0 velocity.
I am developing a market trade bot and need to extract some parameters from market data but I don't have idea how to do it exactly. need your help.
1) How to reproduce if market is increasing or decreasing at certain point? (ex. see below picture)
2) Does exist any formula how to reproduce...
I will start from the meaning of increasing function. A function is said to be increasing function if for x < y then f(x) ≤ f(y). Is this correct?
Then f(x) is increasing function if f'(x) ≥ 0. Is this correct?
Lately I encounter the term "monotonic increasing". What is the difference between...
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I need some help in understanding the proof of Proposition 3.14...
Hi and happy new year to all of you
I am currently working as a junior mechanical engineer since March 2019 and I want to pursue a master degree after having 2-3 years of work experience, I would like to prepare my self from now to increase my acceptance since I would like to study abroad.
I...
I am reading Andrew Browder's book: "Mathematical Analysis: An Introduction" ... ...
I am currently reading Chapter 3: Continuous Functions on Intervals and am currently focused on Section 3.1 Limits and Continuity ... ...
I need some help in understanding the proof of Proposition 3.7...
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The ##Q## factor of an oscillating system is defined as ##\omega_{r}/\Delta \omega##, where ##\omega_{r}## is the resonant frequency, and ##\Delta \omega## the resonance width. As I understand, ##Q## measures how sharp the resonance curve is.
Why is it that the resonance curve gets...
I am trying a different energy spectrum in a code I am writing and get the following error when I try to run the it.
0.61247 0.88454
fatal error entry 2 of si 3 is not monotonically increasing
This has me confused because the two values above are monotonically increasing as are the preceding...
Hello,
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Hi,
I have purchased an electric lock some months ago. Now I purchased an intercom system which is rated at 1.2Amps. The cabling is rated at 1Amp. The lock is working sporadically. I guess it is because of the current.
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I have an inductive load (120 volts AC at 0.5 amps AC at 60 Hz, 0.9 power factor before correction) that is a connected to the grid. I have been trying to increase the power factor above 0.95, but no matter how much I tune the power factor correction capacitors I cannot increase the power factor...
212
Let f be the function given by $f(x)=300x-x^3$ On which of the following intervals is the function f increasing
(A) $\quad (-\infty,-10]\cup [10,\infty)$
(B) $\quad [-10,10]$
(C) $\quad [0,10]$ only
(D) $\quad [0,10\sqrt{3}]$ only
(E) $\quad [0,\infty]$
Steps
ok this was a little...