Increasing Definition and 449 Threads

I am working on hobby project with almost no budget. I bought some "nice" (cheap & simple) electronic solenoid valves for water flow. I've since discovered that they need 3PSI to open. Which is ok for the supply lines. But the drain line requires that as well. Now I either need a column of water...

Ok, so I was just thinking about einsteins famous equation E=mc^2, and I was just wondering, if I were to take, say a rock or piece of metal. If I were to weigh it, and get it's mass, I could compute how much energy it contains. However, if I were to add heat to the rock or piece of metal by...

I am supposed to show f(x) is increasing in x when x is real and positive. f(x)= [(x+2)*(1-a^(x+1)] / [1-(x+2)*(1-a)*a^(x+1)-a^(x+2)] a is any real in (0,1); x is real and positive I have taken and first derivative of f(x)...

I just have this confusion which is completely eating me up. They say entropy of a system is a state property. Then they say that for a completely isolated system, entropy either increases or remains zero depending on the process being irreversible or reversible. So, let's say for an...

to cut it short, was asked to find the values of x for which f(x) is an increasing function \dfrac{(x^2 + 3)}{4x + 1} = f(x) \dfrac{(4x-6)(x+2)}{(4x+1)^2} = f'(x) so setting this to be greater than zero I get the values of x < -2, and x > 2/3 however in the answers they got x <= -2 and x...

Let $A$ be a finite set. Let $\mathcal{P}(A)$ denote the power set of $A$. Let $f:\mathcal{P}(A)\to \mathcal{P}(A)$ be a function such that $X\subseteq Y\Rightarrow f(X)\subseteq f(Y)$. Show that $\exists T\in \mathcal{P}(A)$ such that $f(T)=T$. P.S. The power set of $A$ is the set of all the...

Homework Statement a)A snowball, initially of mass m0, slides down a slope of incline angle ∅. As it moves, mass of additional snow Δm = αx. Write down the differential equation of translational motion for the snowball, ignoring rotation and friction. b)If the snowball starts from rest...

I have a non-increasing sequence of random variables \{Y_n\} which is bounded below by a constant c, \forall \omega \in \Omega. i.e \forall \omega \in \Omega, Y_n \geq c, \forall n. Is it true that the sequence will converge to c almost surely? Thanks

Homework Statement The problem is to create a small alarm that will buzz approximately 6 seconds before it stops buzzing. I managed to create a working alarm, only problem is mines will buzz for around 1.5 seconds not six. Homework Equations τ = RC V = V0e-t/τ The Attempt at a...

Problem: "Let x_1, ..., x_n be i.i.d random variables uniformly on [0,1]. Let X be the length of the longest increasing subsequence of x_1, ..., x_n. Show that E[X] \ge (1-o(1))(1-e^{-1}) \sqrt{n}." Hi forum! Using the Erdos' lemma I can only deduce that E[X] \ge \frac{1}{2} \sqrt{n}...

I juat have a quick question. Which of these is correct; f(x) is one-to-one \Rightarrow f'(x) is increasing f(x) is one-to-one \Rightarrow f'(x) is non-decreasing. I think number one but I'm just not 100% sure. Thanks

Homework Statement Suppose that f is a bounded, increasing function on [a,b]. If p is the partition of [a,b] into n equal sub intervals, compute Sp - sp and hence show f is integrable on [a,b]. What can you say about a decreasing function?Homework Equations We partition [a,b] into...

Homework Statement If x_1,x_2 are the roots of x^2-3x+a=0 and x_3,x_4 are the roots of the equation x^2-12x+b=0 and x_1,x_2,x_3,x_4 are in increasing G.P., find a and b Homework Equations The Attempt at a Solution x_1+x_2=3 \\ x_1x_2=a \\ x_3+x_4=12 \\ x_3x_4=b But these are not...

So a plane flying horizontally at an altitude of 1 mi and a speed of 50 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station. (Music)

Homework Statement Let b1=1 and bn=1+[1/(1+bn-1)] for all n≥2. Note that bn≥1 for all n in N (set of all positive integers). The Attempt at a Solution Prove that (b2k-1)k in N By definition, a sequence (an) is increasing if an≤an+1 for all n in N. SO, for this problem, must...

Homework Statement Define a function f:ℝ->ℝ that is increasing, bounded, and discontinuous at every integer. Homework Equations The Attempt at a Solution I've tried defining a fuction using the greatest integer function but I cannot get it to be bounded with jump discontinuities...

A real sequence $\{x_n\}$ satisfies $7x_{n + 1} = x_n^3 + 6$ for $n\geq 1$. If $x_1 = \frac{1}{2}$, prove that the sequence increases and find its limit. To be increasing, we must have $s_n\leq s_{n + 1}$. What next? My Analysis game is weak.

This is possibly an engineering, rather than physics, question. (Ooooooooo! Busted!) John picks up a paperclip and notices that it has been (very weakly) magnetized... it attracts other paperclips, but only at ridiculously short distances. John wishes to foster this interesting...

[b]1. (Initial Question) let f be a function from R to R. Without using words of negation, write the meaning of "f is not an increasing function." [b]2. No Relevant Equations. [b]3.(Attempt at Solution) Does this mean that I just need to rewrite the statement without using the...

A thin wire of length L and uniformly density ρ is bent into a circular loop with center at O.The moment of inertia of it about a tangential axis lying in the plane of loop is. Ans : Mass M is not given,but ρ is given. So M=ρL3->(1) (L3 means L cube,no idea how to post it in that manner!). For...

I have read several articles recently saying the Earth's Chandler Wobble has been increasing. If this is true, would it have an effect on the Earth's crust? I notice there seems to be an increased number, and magnitude of earthquakes in recent years. Could this be, at least in part, due to an...

Homework Statement A train is traveling on a horizontal and straight track, with a constant speed of 20m/s, when it begins to rain. The rain is rigorously vertical and the mass of the water that falls over the train and after that runs vertically by it sides is 100kg per second. Consider the...

Based on special relativity object with speed nearing to speed of light has increased mass and also its gravity pull is increasing. But this is in special relativity calculated for linear moving objects, not for rotating objects. Based on general relativity does increase mass and gravity of...

http://www.google.com/patents/US685012?printsec=abstract#v=onepage&q&f=false Is this system used today in electrical transmission? If not why not?

Homework Statement Hello, Does anybody know how to solve this question? Or a formal way to prove that a fuction is strictly increasing? Define f(x)={ x-1 if x<0 x+1 if x >_ 0 Show that f: R -> R is strictly increasing and that f^(-1) : f(R) -> R is continuous at 1...

I've recently gained an interest in solar cells and it's development. I know the basic working principle of solar cells, but other than that I'm quite clueless about the field. I was wondering, what is the process of increasing solar cell efficiency like? Are there analytical ways of...

Hi, First I should explain I am a software engineer and my knowledge of maths and physics has gapping holes. I also appologise if I have posted in the wrong place. Here is my problem, I have a known constant increase in my force f = t * i f = force t = time i = constant increase...

x^2+2\\\\ \frac{2}{3} x^3 + \frac{13}{3} x\\\\ \frac{1}{3} x^4 + \frac{14}{3} x^2 + 2\\ \\ \frac{2}{15} x^5 + \frac{10}{3} x^3 + \frac{83}{15} x\\ \\ \frac{2}{45} x^6 + \frac{16}{9} x^4 + \frac{323}{45} x^2 + 2\\\\ \dots [SIZE="6"]?

Basically I'm tying to work on a project that requires a heavy battery mounted on top of a foam floater. i believe that as long as the centre of gravity of the battery and the centre of buoyancy of the foam is close to each other, they will be stable in water or while floating on water. Correct...

Supposing we have an RC circuit (see figure) As we increase R, what will happen to the visualized signal of E and V(capacitor) and V(resistor)? And a general question about measuring the (Tao) [the one that equals to RC] BUT FROM THE OSCILLOSCOPE.. They mentioned it is the time for...

Homework Statement if a 50kg car has a static speed of 10m/s, then what is it speed if the mass of the car increased by 20kg(so that the mass of the car now is 70kg) Homework Equations The Attempt at a Solution what kind of equation should i use? i was wondering if i can use the...

I have a warehouse (industrial building) which has a 5killowatt/hour output. This is a 3 phase supply. I need to increase it to at least 10killowatt/hour. The electrical system is modern. But do I need to change the infrastructure to increase the power output? If I need to change the...

A sequence (an) is recursively defined by a1 = 1 and an+1 =1 /(2+an ) for all n≥1 I'll prove this sequence is convergent by monoton sequence theorem.ı can find ıt is bounded but ı cannot decide it is monoton because when ı write its terms,Its terms are increasing sometimes decreasing...

Q.In which of the answers below are the substances listed in order of increasing melting point? a) Cl2 < CHF3 < H2O < CHCl3 < SiO2 b) Cl2 < CHCl3 < CHF3 < H2O < SiO2 c) Cl2 < CHF3 < CHCl3 < H2O < SiO2 d) Cl2 < H2O < CHF3 < CHCl3 < SiO2 e) SiO2 < H2O < CHCl3 < CHF3 < Cl2 How can we tell...

A sequence (an) is defined recursively by a1 =1 and an+1 = 1/ 2+an for all n is greater than 1 or equal 1. ı'll prove that this sequence is convergent,buy ı cannot decide whethet it is increasing or decreasing .When ı write terms ,some terms increase some terms decrease.

Peltier Project: 50% PWM --> alternate circuit switching for increased performance? Hi all, I have a project where I am making a drink cooler device using four peltier devices which can draw up to 30amps or 24 volts each. we are considering battery power (pretty ridiculous but anyway..) and...

I have read some threads on this topic, but I am still confused. Why does temperature drop as you go up a mountain? I have read that since pressure depends on the weight of the air on top of you and as you increase your altitude the amount of air over you decreases, therefore pressure decreases...

Determine the monotonicity and boundedness of the sequence. 1) 4n/ (4n2 + 1)22) 2n/ 4n + 1Question: I'm having a problem in knowing whether the approach I'm using is providing the right solutions. in 1) I used the an+1/an and tried to compare their ratios. I end up with: 4n+4/ (4n2 + 8n +...

Hello, why do the electrons with higher quantic number N have more energy than the electrons with lower N if they need less energy to be removed from the atom? Thank you!

If the damping ratio of a damped circuit is increased, does the circuit become more or less damped? I would think it would become more damped, but what exactly is the definition of the damping ratio?

YR RATE INTEREST BALANCE 0 1000.00 1 .03 30.00 1030.00 2 .033 33.99 1063.99 3 .0363 38.62 1102.61 4 .03993 44.03 1146.64 Above is an example of future value of an amount at an incresing...

Homework Statement Let f:[0,1] →ℝ be a continuous function that does not take on any of its values twice and with f(0) < f(1), show that f is strictly increasing on [0,1]. Homework Equations The Attempt at a Solution Assume that f is not strictly increasing on [0,1]. Therefore...

Okay, so I have a simple D cell battery, enamel coated copper wire loop and a magnet. I can easily get the copper wire loop to spin if I scratch away part of the enamel (that side which touches the stand) off the ends of the wire, run current through a stand, and position the magnet at just the...

Hey, I have a problem which I'm having trouble solving, it concerns the conservation of angular momentum. I am given a volume of water that is held behind dams in the mid-latitudes on the Earth and am asked to determine the change in length of the day due to the movement of the water into...

Homework Statement I've got two questions 1.Find the intervals on which f increases and and the intervals on which f decreases. f(x)= x-cosx, 0≤x≤2∏ 2. Why is f(x) = -2sin2x - 2sinx = -2sinx (2cosx + 1) How can you factor 2cosx from the function on the left side? Homework Equations...

what does this mean that every year the time of daylight in increasing on a specific date? is the speed of Earth's rotation increasing or the speed of its revolution is increasing..please help me out...

Hi folks. I need some help with a electrolysis setup I'm going to put together. One of my hobbies is gardening and I've recently decided to begin breeding my own strains of plants. I've heard that colloidal silver is very effective when it comes to deliberately producing male plants - that if...

Homework Statement Hello all, I have the following logic gates: (A'.(B+C))' which I had reduced to A+B'.C'. I then want use a NAND gate connected to a NOR gate, then connected to an inverted. However, I have been informed that I need not to use ten transistors, and that 8 can get the job...

Homework Statement Give an example to show that it is not necessarily true that the product of two eventually increasing sequences is eventually increasing. Homework Equations a sequence is eventually increasing if for N\in natural numbers, a_{n+1} \geqa_{n} for all n>N. The Attempt...

Homework Statement function is (X) / (X^2 - 1)The derivative(as far as I know) is (-X^2-1) / (X^2-1)^2The Attempt at a Solution So I set it equal to zero, and I get -X^2 -1 = 0, which means X^2 = -1 This does not exist, so what would I say for the intervals? When I graph it, the function is...