Increasing Definition and 449 Threads

Hi , I have a question that's confusing and difficult to comprehend " A heating element is placed on the floor and bag of water is placed over it. At present, A power of 300W is applied to the heating element. Peter, the technician, wants to increase the rate at which the water in the...

Homework Statement Given as true f(x) = (1+1/x)^x is strictly increasing for x>=1 and that f(x) has horizontal asymptote y=e. Prove that (n/3)^n< n! <(n/2)^n for all integers n>=6 ? Homework Equations The Attempt at a Solution f(x)=(1+1/x)^x is increasing and approach e prove (n/3)^n< n...

I m solving the problem in which the drop is falling from some height and its size is increasing with the rate dm/dt=kMv where v is the velocity of the drop at that instant , so we have to find the terminal velocity of the drop gained due to air drag, The problem is that if the drop gains...

Isn't it true that if a function f(t) satisfies f'(t) > 0 on some interval, then f is STRICTLY increasing on that interval; i.e., that s < t implies that f(s) < f(t)?

To increase wave speed on a string i would have to decrease the frequency and the string thickness correct? the string thickness would not make an impact correct?

For example, an increase in the entropy of the system will be exactly equal to the entropy decrease of the surroundings. So the net change in the entropy of the system and its surroundings is zero. Putting this in perspective to all the systems and environments in our universe, how is the...

It seems to tell us that it takes more and more energy to increase by the same amount of speed. I don't actually expend 3 times as much gas accelerating my car from 50 to 100 as I did going from 0 to 50:If e=1/2mv2, it tells us how much 'kinetic' energy exists within a moving object -say...

I'm starting a project involving a venturi and water, and for the venturi, I need the water pressure to be around 7-10 psi. This means for my water pump, the head height must be around 15-20 ft. Most pumps that fulfill this requirement are either too expensive or are too powerful for my...

when a sprinter starts running he applies force to overcome fraction and air drag. is his speed keeps going up as F=ma governs to? if he's stamina was enough to fuel him for hours will his speed will keep going up and up even though he applies a constant force until the air drag force becomes so...

Homework Statement Hi, I have trouble proving this claim and would really appreciate your help =). Thank you in advance! So here's the question: Suppose that f is a continuous function for all x>= 0 and differentiable for all x> 0. Also, f(0) = 0 and f' (1st derivative of f) is increasing on...

Let f is monotone increasing, bounded, and differentiable on (a,inf) Then does it necessarily follow that lim(f'(x),x,inf)=0 ? It is hard to guess intuitively or imagine a counterexample...

When x = 16,the rate at which \sqrt x is increasing is \frac {1}{k} times the rate at which x is increasing. What is the value of k?

Scientists say disorder is increasing? How come that we have well-orderd galaxies (from randomness) with the passage of time (many are in the process of evolution)? How come elememts have combined together to form cells and eventually living beings. How come humanbeings have started to...

Hi everyone, I am new to the forum, so please instruct me if I commit any posting faux pas in my first post. Here is my dilemma: I have an oxygen concentrator that outputs .5-5 liters per minute of 95% concentrated oxygen at 5 - 7 PSI. This is just fine for medical use, but I am trying to...

Homework Statement This was part of a lab i preformed to determine rate law for HCl and Mg. 50 mL of 0.5M, 1M, 1.5M and 2M HCl solutions were made using water and this was used with Mg ribbon to find the rate law. The same 0.5M, 1M, 1.5M, 2M HCl solutions were made in 100mL solution that...

What is the best method to increase visitors to my website from Twitter?

Hi, can anyone tell me, how to make the lines in a legend more legible (or larger)? When I am making a legend, the colored lines are too faint, so that I can't see what they refer to. Thank you, Juliane

Homework Statement Find a > 0 so that the curves y = sin ax and y = cos ax intersect at right angles (let them intersect at (x0, y0)). 2. The attempt at a solution Thinking about the unit circle, if theta equals pi/4, then sin theta and cos theta would intersect at right angles at...

Homework Statement 1. Determine whether the sequence {an} = n+(1/n) is monotonic increasing or monotonic decreasing. Homework Equations The Attempt at a Solution I plugged in some digits and got this a1=2 a2=5/2=2.5 a3=10/3=3.3333333 a4=17/4=4.25 a5=26/5=5.2 I drew the...

please could somebody please explain how and why the wavelengths of photons increase with the expansion of space? thanks. i thought i understood the whole expansion acording to the Hubble law and the scale factor thing, and the surface of last scattering, and the redshift, but this...

Homework Statement Four pairs of conducting spheres, all with the same radius, are shown in the figure, along with the net charge placed on them initially. The spheres in each pair are now brought into contact, allowing charge to transfer between them. Rank the pairs of spheres in order of...

Temperature of gas is due to kinetic energy of molecule & pressure is due to molecule collide to container wall with some kinetic energy. If I decrease volume of container it increase pressure & Temperature. For pressure it is clear that more no. of molecule is struck to container wall due to...

I am trying to install larger better lights inside my car, it runs at 3.5volts sometimes, and at 10.25volts sometimes. I am trying to take the voltage up to 12+volts so I can use a relay. I used a 32v 4700uf capictor and it gave it enough power to activate the relay, but then the car doesn't get...

Homework Statement The largest interval on which the function f(x) = x2 + 4x + 2 is increasing is a. [0, ~) b. (-~, 0] c. [-2, ~) d. (-~, -2] e. (-2, ~)Homework Equations differentiationThe Attempt at a Solution I am not sure the answer is (c) or (e). The condition that the function is...

Anyone know how to increase the size of a file, without actually increasing the space occupied on disk. I knew a guy who did this.

Homework Statement Flat capacitor with a plates distanced d = 2 cm and the area A= 1 dm² are connected to a voltage U = 100 V. We disconnect the source of voltage and we increase the distance between the plates to twice the distance. How much work is done? Homework Equations C= ε*A/ d...

Homework Statement Why Does 0 Velocity and Negative Acceleration = Increasing Speed? Homework Equations None The Attempt at a Solution I am using Halliday and Resnick (5th Edition), and the anwer key in the back says that speed is increasing at the point when velocity is zero...

Atoms and molecules like to be in their ground state, that is its most probabilistic for them to be in the ground state, but the entropy of an isolated system is always increasing. Which implies, to my understanding, all states should be equally likely. There is something I'm definitely...

Homework Statement If the speed of a car is increased by 50%, by what factor will the minimum braking distance be increased assuming all else is the same? Ignore the driver's reaction time. Homework Equations W = Fd \cdot cos\theta W = \Delta{E_k} The Attempt at a Solution...

I have a list L={a_{1}, ..., a_{n}}. I would like to find the mean of L_{i} := {a_{1}, ... , a_{i}} for each 1<i<n, and then plot the means. How do to do that in a smart way?

Homework Statement This is the solution to one of the problems I came across: In an AC generator, a coil spins in a magnetic field. Of the following choices, circle the one that will not cause an increase in the EMF generated in the coil? a. replacing the coil wire with one of lower...

Hi I know about calculus, but what other mathematical methods can be used to increase profit? Thanks

Why does adding salt to water increase the vapor pressure? Does increasing the volume of water increase the vapor pressure?

Homework Statement R1=350 Ohms R2=120 Ohms R3=124 Ohms R4=350 Ohms A is between R1 and R4, while B is between R2 and R3. SORRY FOR NOT HAVING IT IN THE PICTURE For the following circuit what is Vab? Now balance the circuit so Vab=0. After balancing what are the values of a shunt...

1. State the Problem A water initially contains 40 mg/L of Mg2+. The pH of the water is increased until the concentration of hydroxide ions (OH-) is 0.001000 M. What is the concentration of magnesium ion in this water at this pH? Give you answer in milligrams per liter. Assume that the...

I've been googling around but i seems not able to find why CuNi have decreasing resistivity when temperature is increased at the range of 20 celcius - 80 celcius. Please enlighten me! thanks a bunch!

I really can't find an answer to this. Listed on every package of food will be its nutritional values, including the amount of cholesterol you will ingest... Here's my question: If the body can ingest cholesterol and if HDL is the beneficial type, then why not sell HDL supplements at the health...

as i heard it, as an object increases velocity toward c, the mass of the object will increase as a result of the increasing energy which resulted from the increased speed. What is this speed relative to? - the object the speeding object departed from, or relative to an object in the direction...

Homework Statement Suppose f is differentiable on [0,1] and that f(0)=0. Prove that if f' is increasing on (0,1) then f(x)/x is increasing on (0,1) Homework Equations The Attempt at a Solution I've tried several things. I tried applying the definition of increasing on f', but I don't...

I was thinking of an idea in my head about a week ago, but it would need the rate of the expansion of the universe to increase over time (this is different from it just expanding at a constant rate). Today, i was reading about dark matter and it had stated that it might be the reason why the...

Homework Statement problem: You're the operator of a 1.60×104 V rms, 60 Hz electrical substation. When you get to work one day, you see that the station is delivering 7.00 MW of power with a power factor of 0.920. a) what is the rms current leaving the station? b)how much series...

PLease see if you could help me over this.. I have a laser beam emanating from am aperture of 50 mm dia. The beam divergence being 0.4 mrad. If i now choose a situation where say instead of the conventional beam expander design to expand the beam size and reduce the beam divergence, i choose...

Let's say you're on a spaceship and you can accelerate to a speed very close to c. As your own time seems to slow down (relative to slow moving observers), your mass also increases. I know that mass increases in the sense that one requires more energy to give the same acceleration, but does...

Homework Statement Is the work W equal to 1/2mu^2 when the force is increasing in relation to time? For example, the acceleration of the mass at the end of the 1st sec is 1meter/sec^2, at the end of the 2nd sec is 2meters/sec^2, at the end of the 3rd sec is 3meters/sec^2 and so on. The...

Since each day we are illuminated by the sun, plants convert that energy into glucose etc does this indicate an increase in mass of the Earth if losses due to heat radiating out and gains such as meteors are ignored?

Homework Statement I'm doing an assignment in Mathematica and I need some help understanding the question. I have a datasheet with temperatures for each month for the last 108 years: http://www.knmi.nl/klimatologie/maandgegevens/datafiles/mndgeg_260_tg.txt Question 3 was: "Determine...

Homework Statement When x=pi/4, the rate at which sinx^2 is increasing is k times the rate at which x is increasing. What is the value of k? (answer is 1) Homework Equations The Attempt at a Solution I plugged in pi/4 into sinx^2 and i got .5. i also took the derivative of...

When an object moves by you, I know that its density is supposed to increase (at least that's what I was told by my physics teacher); however, I don't understand why. I understand why the density is greater in a moving reference frame relative to an observer at rest, but why does it continue to...

You can http://www.wunderground.com/history/airport/VECC/2009/4/21/DailyHistory.html?req_city=NA&req_state=NA&req_statename=NA" ) (scroll down to see the hourly observations) that the dewpoint goes down as the temperature increases and goes back up again as the temperature goes down. There seems...

Homework Statement y= x √6-x^2 Homework Equations The Attempt at a Solution