Formulas Definition and 545 Threads

How would you go about solving (4(x^3)+38(x^2)+44x-20)/(20+12x+x^2), without the use of a computer, further, what about functions which have more x components, with higher powers. Also what process do computers use to solve these.

Above they use the equality that the massless energy hv is equal to einsteins energy. Both have the same velocity. How can not this mean that einsteins formula has more energy then the other. I have added a proof of einsteins formula just in case it can be used: In the proof above I don't...

Homework Statement Homework EquationsThe Attempt at a Solution So I am tasked with answer #3 and #4. I have supplied the indicated parenthesis of 8 also with the image. Here is my thinking: Take the Fourier series for |sin(θ)|. Let θ = 0 and we see a perfect relationship. sin(0) = 0 and...

Hello, I’d have a question regarding two apparently different formulas for the time reduction factors for observers in orbit around a rotating black hole, as reported in this nice thread: Equation for time dilation of body in orbit around Kerr black hole? The first one is: $$A=\sqrt{g_{tt} +...

I can never derive the prolongation formulas correctly when I want to prove the Lie group symmetries of PDEs. (If I'm lucky I get the transformed tangent bundle coordinate right and botch the rest.) I've gone through a number of textbooks and such in the past, but I haven't found any clear...

Write the following formulas: a) The minimum perimeter of any triangle (abc) only known heights corresponding to the sides a and b. b) The maximum height and minimum corresponding to the side b of any triangle (abc) only known the value of its perimeter and height corresponding to the side a.

Homework Statement I need to calculate the time that it takes for a drag car that is powered by an 8 gram CO₂ cartridge to go across a certain distance. My wooden drag car is 100 grams. It will be traveling a distance of 50 feet. Homework Equations Force= mass x acceleration Power= work /...

Someone has spray-painted (no idea why) these formulas on the blackboard. I assume they are from the math class that is held before our physics class. I'm guessing it to be calculus or mathematical logic but I don't know. What I'm reading is that pi equals lambda and therefore f equals 1. Does...

2007 2008 2009 2010 Total revenue ($1,000 million) 60.05 58.43 61.24 63.31 Revenue per employee ($1,000) 168.8 163.5 170.6 175.3 Revenue per full-time employee ($1,000) 198.6 197.1 210.6 224.7 1. What was the number of employees in 2010? 2. What was the number...

Hi all , I am approaching now the piezoelectricity but I am studying economics so i have no knowledge to understand deeply some aspects of it. Anyway i am really interested in understanding it for myself. I understood all mechanism behind it but some things are still not clear. Let's start...

Hey JO, You all know the binomic formulas I guess. Let's look at the first: (a+b)^2=a^2+2ab+b^2 Now this can be interpretet as the area of a square with the sides (a+b). And that means the area of the square is decomposed into the components a^2,2ab and b^2. And this can also be done for a cube...

Quick background: Community college student with quite a love for philosophy, mathematics, history, and politics. I'll be transferring to a four-year institution next year to complete my undergraduate degree (undecided major, but leaning towards a double or possibly even triple major in those...

PO43- I Understand the 4 represents how many oxygen atoms are bonded to the Phosphate. What exactly does the 3 and its - sign represent? By the image, I can tell the difference between the 3 oxygen atoms and the single isolated one, with the double || symbol, has a different electronic...

1 Generic TVM Equation = 1700 TVM formulas Here is the Book of Odd, Volume I https://www.dropbox.com/s/dknr9l61i130du4/book_of_odd_volume_i.pdf?dl=0 All praise to Odd Here is the Windows app based on Book of Odd, Volume I https://www.dropbox.com/s/9jx4knnuw98lpkl/OddFinancials.exe?dl=0...

I know that most of you have grown up in this digital era, but me myself, I am a old school man, and, I usually use reference books. Today, I would like to recommend a small and practical book. Have you ever been working in an installation, in the middle of the Amazonian jungle or in the...

Homework Statement Is there a place where I could find every component of every physics formula explained? I know basic stuff like that a line over a variable means average. But, I have no idea what the various subscripts and superscripts on the formulas mean. Thanks for reading Homework...

My class is currently doing thing like centripetal acceleration, momentum etc. and I am not quite getting it. We are also meant to know how to rearrange and combine formulas really well, but I have missed a lot of algebra on previous years so I only know the basics... Can someone please...

Homework Statement Find the equivalent resistance between A and B. All resistances shown are in ohm. Homework Equations The formulas for parallel and series connections. The Attempt at a Solution I have attempted to redraw the circuit and my redrawn diagram looks like this. I don't think...

Hello, i am studying about ions and compounds currently and i wonder why do certain formulas are written in a certain order, for example: silver sulfide - why isn't it written as sulfide silver? or copper(II) chloride - could the chloride be written first? like everything in chemistry I'm sure...

I was wondering what the upper half of the hexagon represents, I assume the Triangles represent O repeating; and how would this formula be written out in text.

Good day to you all, I wanted to share a struggle with you all that I can't seem to get out of. It's about calculating, in the case of sound, the decrease or increase in frequency (thus increase or decrease in wavelength) when a sound source is respectively moving away or towards an observer...

Not sure if this will be of interest to others, but, as an exercise, I decided to derive formulas for SR velocity addition for any angular relationship, and similar aberration of angle for any object speed and direction and observer relative velocity - using pure algebra/geometry. That is, no...

Homework Statement Demonstrate that Eq. (1.1) will convert to the Einstein relation Eq. (1.2) in the limit of t→∞ when we assume ξ=6πaμ. Conversely, show that Eq. (1.1) will yield <x2> ~ t2 in the limit of t→0. Confirm the consistency of the principle of equipartition of energy. Homework...

Hi All. My name is Simone and i have joined for the purposes of correcting my personal educational inadequacies. I have an inadequacy in my formal education as i only went to Year 8 in Australia. I am struggling to help my daughter at the moment. My 16 year old daughter is stumped on some...

I am in need of a formula to calculate mass flow rate of liquids through a known orifice size and known pressure/secondary pressure. I need to do this for multiple liquids and I know the specific gravity for each liquid. can anyone help with this formula.

I wasn't sure where to put this question, so if a Mod wants to move this to a place where it would fit better/get more responses I would appreciate it. I'm about to finish pre-cal and take calculus during the fall. For my final we are allowed a half page of formulas. On it I have written down...

Hey guys and gals, I'm taking an online physics course just to kind of learn the basics before I take the real thing this summer. The course is from OpenYale for those interested (oyc.yale.edu). Anyways, the professor was talking about some formulas for finding ##\vec{r}(t) = r(i(cos\omega t) +...

In chemical formulas of various inorganic compounds there are molecules of water .I wanted to know is it important to remember the number of moles of water in chemical formulas of inorganic compounds.

As I understand it, the formula ##E=\gamma m_0 c^2## gives the total energy of a body in any inertial frame. However, the formula ##E=\sqrt{ (m_0 c^2)^2 + (pc)^2}##, which is also supposed to give the total energy of a body (in any inertial frame), does not equal to the first formula. Why is...

i need a book that contain all math formulas from numbers theory to Probability. any help??

While teaching momentum, we use the formula p=mv. Every year it comes up as to why the letter p is used in the formula and not other letters or symbols. I have conducted on-line searches and I stumble across explanations that mention Newton and his Principia along with other possible...

This is not a homework question, but more of a information seeking question. I'm currently enrolled in Fundamentals of Thermodynamics where we studied many different cycles (Carnot, Rankine, Otto, Brayton, etc.) and their respective components (compressors, turbines, heat exchangers, pumps...

Hi, The integrals in the image are well-known, but we are not allowed to use them in the test. I have tried to prove them using changing variable t, but I didn't succeed. Can you show me the way?

What is the differences between these two voltage formulas. 1. for a point charge: $$V = k\frac{q}{r}$$ 2. for an inductor: $$V(t)= L\frac{di}{dt}$$ Why are there different voltage formulas? Can second one be derived from the first one? Or do they completely represent different concepts?

I'm attempting to work out when to use the different formulas and how everything fits together, can you confirm if the following is correct? 1) If we had the problem: There are 250 dogs at a dog show who weigh an average of 12 pounds, with a standard deviation of 8 pounds. If 1 dog is chosen at...

Hi, I was reading about bicycles the other day and a question popped up in my head: Does the rider's weight and height affect the speed of the cycle? I have been researching extensively about it but I cannot find any formulae that can be used to measure the effectiveness of the height and...

Homework Statement This isn't really a question about a specific problem, just about 2 formulas. I am not sure what the difference is when to use the two formulas. I have a hypothesis, but I need it confirmed or corrected. thankyou :) Homework Equations If you have the Halliday and Resnick...

Hi dear forum members, I'm an undergrad. physics student(freshmen),i've learned that Galilei found g.t^2=s formula(a free falling object's position function with respect to time)without using physical foundations,by using him blood impulses for count time not utilizing acceleration etc,i've...

I mean why is f=ma? why not m0.123a1.43 or some random non integers? I hope you understand that my doubt doesn't limit just to force or energy or velocity e.t.c. it also extends to area of a square,circle e.t.c and all other formulae i think whole thing starts with direct proportionality.

This is a very basic question. When I see a chemical formula, like for example combustion of methane: $CH_4+2O_2->CO_2+2H_20$ and I compute the standard enthalpy of reaction $H_r$, do I have always to think about this value $H$ and about the chemical reaction as describing a "certain amount"...

Ok I'm struggling with something here. I am rusty so have probably just misunderstood something simple mathematically. There are equations to create the Bending moment diagram for each different type of beam subject to a UDL; cantilever, simply supported, fully fixed ends etc. However I just...

Homework Statement the theory behind Parallel axis theorem Homework Equations parallel axis theorem:Io=Ig+md² Radius of Gyration=Ig=m*K² The Attempt at a Solution ok folks If I understand this theory correctly the radius of gyration is the radius or distance from the axis of rotation to the...

Well, recently I have started to deal with electronics and I've seen several new concepts such as ohm's law, parallel and series circuits, what's AC and DC and many other topics. Ok, I have no doubt on what's direct and alternate current or what a series and parallel circuits are; rather than...

This might be a silly question and an obvious one, it's something I just wanted confirmation/clarification on. I've been recently reading a lot of mathematical papers/journals from around the world and have noticed something in particular. A lot of formulas or things they are postulating use...

I am new to the world of Science & Mathematics but am eager to learn all I can. I go to my local library and open up books on the topic such as Physics, Engineering and Electronics and there are swathes of formulas all of which I don't understand. I stare at them wondering what keys they must...

u = (v + u') / (1 + v u' / c2) f´ = f √ [ ( 1 + v / c) / ( 1 – v / c) ]What are the difference between these two formulas? My formula sheet doesn't specify the two. I believe one of them has to do with doppler effect.

Hi , before I ask I want to say that I have done my “ homework” I did a search on this forums and I found a few hits but I couldn’t quite understand them or the numbers turned out wrong after I did my calculations. So I wanted to make a fresh thread , hope you folks will guide me , thanks. So I...

For the sake of simplicity, assume we have an electrical appliance, single phase. Powered by U = 230V from the wall, its nominalpower N = 2600W and the resistance R = 26 ohm. If I wanted to calculate its operational current "I" (not entirely sure about the English terminology - the amount of...

1. Partnership : When two or more than two persons run a business jointly, they are called partners and the deal is known as partnership 2. Ratio of Division of Gains: (i)When investments of all the partners are for the same time, the gain or loss is distributed among the partners in the ratio...

Depending on where I go to get a good understanding of the Lorentz transformations, I run into two formulas for time (t): T=T_0 * \frac{1}{ \sqrt{ 1-\frac{v^2}{c^2} } } and t=\left( t' + \frac{vx'}{c^2} \right) * \frac{1}{ \sqrt{ 1-\frac{v^2}{c^2} } } What is the...