What is Increasing: Definition and 468 Discussions

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...

Hello everyone! I just want to start out by saying that i really don't know very much about physics. That is why I am coming to you for help. I am making a motorized grain mill for brewing beer. Most people start buy using a 1hp electric motor and a large pulley attached to the mill to...

Homework Statement A certain substance exists in two phases at equilibrium at Temp T1 and pressure P1. One phase α is a crystalline solid (density 0.531 g/cm^3) while the other phase β is an amorphous glass (density 0.510 g/cm^3). a) If the external pressure is increased, will the temp...

Homework Statement Show that A, the set of all increasing sequences of natural numbers is uncountable Homework Equations I know that the natural numbers themselves are countable. The Attempt at a Solution I am thinking of using some sort of diagonal argument to prove this.

Homework Statement What is the acceleration of a rocket that travels uniformly from rest and travels 650m in the first 12 seconds.Homework Equations s=v_it+\frac{1}{2}at^2 a=\frac{\Delta v}{\Delta t} The Attempt at a Solution I pluged the acceleration equation into the first equation...

Hello, Can you Prove that information is either increasing or remaining constant with time. Thanks.

I read that an objects mass increases as it approaches the speed of light and that this was the reason why anything that has mass can never travel at the speed of light. The energy required to accelerate it for that last step would become infinite. my question is that if the mass of an object...

I've worked all of these out. I'm mostly confident I did them correctly, but I'm prone to overlook subtleties or counterexamples sometimes. http://i111.photobucket.com/albums/n149/camarolt4z28/1ab-1.png http://i111.photobucket.com/albums/n149/camarolt4z28/1gf2-1.png

This is starting to tick me off. I've emailed the professor about this. It seems like contradictory information. According to the textbook: If the derivative of a function is bigger than or equal to zero on an interval, it is increasing. If the derivative of a function is bigger than zero on...

Let's say we have a cumulative distribution function (cdf) G and random numbers v1 and v2. The definition of strict increasing function is: v1 < v2 => G(v1) < G(v2). In a statistics book, the author writes: "...but with the additional assumption that the cdf G is a strictly increasing...

if f'(x) > 0 for all real values of x then x increases without bounds. I thought that was true but in the back of the book it says false and uses f(x)=2x/sqrt(x2+2) as an example. i worked out the derivative and got f'(x) = 4/(x2+2)3/2. how does that show that the first sentence is false? I'm...

the questions I have are general questions regarding power and velocity here are some relevant equations: P=Fv a) if the force required to keep an object in motion with a constant velocity does not depend on the speed of the object, does the power required to keep the object moving in at a...

Hello, I am an architect at UCL london and am currently looking at a hypothetical scene whereby the length of a day could be increased to something at least over a month (i.e. the Earth would be spinning so slowly that it would be in contact with the sun for 30 days and darkness for 30 days). I...

Homework Statement Prove that there is no strictly increasing function f: Q->R such that f(Q)=R. (Do not use a simple cardinality argument) Homework Equations The section involves montone functions, continuity and inverses. I believe the theorem to be used is that a monotone function on...

i am making a wind tunnel in order to test aerodynamics of 1/24 scale cars. i am having two problem: 1. i am not sure what wind speed at that scale to represent 100mph. 2. i am using a fan that has an outlet wind speed of 19.4 mph. i tried to increase wind speed by decreasing the outlet...

Is it possible to increase the size of an already allocated array in FORTRAN, without reallocation? e.g. if in start A(3)=[4, 5, 6] and now I want something like A(4)=[4, 5, 6, 7]. Currently I am using a temporary array to do this allocate(A(3)) A=(/4, 5, 6/) allocate(temp(3)) temp=A...

I only know of two arguments against raising taxes on the wealty. The first is that higher taxes will reduce growth and investment. To that I say that not all taxes are the same. Credits and deductions providing incentives for investment do not exclude taxation on wealth that goes to lifestyle...

I have an assembly where I'm using a starwound cable heater to heat up a flow of air. But the air is not heated to the desired temperature. So I have decided to increase the heat transfer area by using metallic wool or some meshing around the heater. can anybody please suggest me which one would...

I am posting from the yesterday night yet my posts aren't increasing. They were 185 yesterday and now also they are 185 only. What's this happening?

I have not been taught how to do this and therefore unable to answer the following question :- Expand the function f(x) = (1+x)^3 in increasing powers of x ? Please help

I was rather less than surprised to find that over the decades both men and women have placed increasing importance on attractiveness when looking for a mate. You can download the report I read here: http://www.akst.com/Writings/Looks%20DO%20Matter.pdf Just another thing to be sad about. Or...

Homework Statement Object A is accelerating thru a vacuum; no forces (gravity, nada) acting on the object but the force accelerating it. The force accelerating the object is removed and no friction is involved. Homework Equations Will the object continue to accelerate at an...

It seems that the ideal state for matter is for it to get compressed to a high degree or even to the point of infinity at the speed of light, just before it reaches the singularity in a black hole.

Homework Statement You are pulling water with a constant velocity from a well using a crank of length L. If the length of the crank was doubled, you could ... Homework Equations Work = Torque*angular distance Torque = I*angular acceleration Torque=F*d*sin(angle) It looks like the...

Homework Statement Find a function, strictly increasing, whose derivative equals zero at TWO places. Find another such function whose derivative equals zero at infinitely many places. These should not be piecewise and should be continuous on all reals. Homework Equations f(x)=x^3 has one...

Hi all, I know about these facts: 1- The variance of importance weights increases in SIR (also know as the degeneracy problem). 2- It's bad (lol), because in practice, there will be a particle with high normalized weight and many particles with insignificant (normalized) weights. But I...

Homework Statement List the solids in order of increasing polarity. NaCl,C10H8, C6H5COOH, NH2CONH2. Homework Equations N/A The Attempt at a Solution C10H8, C6H5COOH, NH2CONH2, NaCl. My rationale is that the longer the carbon skeleton the least polar.

Hi all, My problem is a question from my coursework. The question is; We are to inject propane gas into the diesel engine of the Vauxhall Omega on a dyno run. Calculate how much gas is required to give the engine 60nm more torque? obviously i can appreciate some people may not want to...

Air flow in shop is through 1/4" hose. pneumatic motor has 1/2" inlet plus the tubeing to and from valve is also all 1/2" tube. what would be a general equation to model the pressure loss or increase to the motor. Shop air: 80psi 60cfm

Homework Statement "If f'(x_0)>0 for some point x_0 in the interior of the domain of f show that there is a \delta>0 so that f(x)<f(x_0)<f(y) whenever x_0-\delta<x<x_0<y<x_0+\delta. Does this assert that f is increasing in the interval (x_0-\delta,x_0+\delta)?"Homework Equations...

Hi all, First timer here I would like to understand how to work out how torque is involved when increasing shaft speed using DC motors. Say if a shaft is rotating at X rpm with an applied torque of T [N.m] and a DC motor is connected through a 1:1 gearing to connect the rotating shaft and...

Hello all. I'm looking for a book possibly written by an MD but most likely written by a Ph.D. I believe published sometime between 1998-2006. The author's thesis was/is training the brain to overcome pain (by increasing the pain). Sometime in the time period given above there was either a...

Homework Statement Suppose that a function f(x) is increasing and concave up. Show that there is a number "a", such that f(a)>0. The Attempt at a Solution How would I go about showing this?

So this is the case - I've bought some shocking laser tag guns to play with my friends, though I am unsatisfied with their range which is merely 5 meters. I was wondering if I could add some convex lenses in front of the laser gun in order to increase the range of the laser, would that work...

I've heard that if you heat up a substance it masses very slightly more, because of E = mc2, and the ebergy added is in the form of heat I am just curious - could you also think of it as m = m0 / \sqrt{1 - v^2 / c^2} because heat energy is just really diffuse kinetic energy on a molecular...

I am currently researching how the sun's steady increase in luminosity is affecting the four inner planets. It's a fascinating subject. I haven't done any of the calculations yet (mostly because I am not that advanced in math yet), but I was watching a show called, "The Universe." On this...

What is the "driving force" to increasing the internal resistance of a battery Homework Statement A brand new battery almost have no resistance, but overtime when the internal resistance is great enough, the battery "dies". So my question is, what is causing the internal resistance to...

I'm wondering if there is a monotonically increasing function with a jump discontinuity at every rational (or any other dense, countable subset of the reals). Here's a specific candidate that I've come up with: Let g:\mathbb{Q} \cap [0,1] \rightarrow \mathbb{R} take the rational p/q (p and q...

Homework Statement If in a region, the electric field, points to the right and the electric field increases as it moves right, what net charge does the region have? Homework Equations The Attempt at a Solution I assume that the region has a net positive charge as the magnitude...

Homework Statement Let a wire's tension increase quasi-statically from F_{1}\rightarrowF_{2}, with Young's Modulus Y, Cross-sectional Area A, and Length L. Find the work done Homework Equations F=\frac{YA}{L} *Delta L, tex having issues W= Integral from L to L_2 The Attempt at a...

Hello, I am looking into ways to increase the fuel efficiency in a various number and type of ships, with engines running from diesels to steam plants to gas turbines. I was wondering where I might find information on the state of the art practices with propeller design. Specifically...

A tree trunk is approximated by a circular cylinder of height 50 meters and diameter 4 meters. The tree is growing taller at a rate of 4 meters per year and the diameter is increasing at a rate of 5 cm per year. The density of the wood is 4000 Kg per cubic meter. How quickly is the mass of the...

I suspect I already know the answer to this question but I want to ask in case anyone has any ideas on how to improve things. What I am looking for is a gearbox design that will increase both torque and speed at its output. I don't think this is possible as I believe one is traded off...

Homework Statement P(x) is an increasing function and Q(x) is a decreasing function in interval a ≤x≤b, x is positive. P(x) and Q(x) are located in 1st quadrant. Another function γ(x) satisfies m≤γ(x)≤M. Find the value of m and M if: a. γ(x) = P(x) - Q(x) b. γ(x) = P(x) . Q(x) c. γ(x) =...