Formulae Definition and 139 Threads

Homework Statement Prove that cos(\frac{\theta}{2}) = \pm\sqrt{\frac{1+cos\theta}{2}} using the unit circle. Homework Equations The Attempt at a Solution I'm not sure if it's possible for you to provide a clear graph on here for the solution but a link would also be nice :)

[b]1. Let the p.m.f. pf M be defined by f(m)=x/8, x=1,3,4. What is the mean of M? [b]2. n!/n-r*p^n*(1-p)^n-r [b]3. 3!*1/3^3*2/3^2=.59 This is not the correct answer!

hey guys, could u use the quadratic formula; x = -b +/- sqrt (-b2 - 4ac) 2a for the following questions; y = 4x2 - x y = 4x2 -1 y = x2 + 4 and y = -2x2 + 4x i ask this as there is no value for (c)...

hey guys, i was wondering if you guys could help me with a few things. 1st, how to work out dimensional formulae questions, i can not get my heard around it, and I am sure with some help i can nail it, help; how do u give the dimensions for ENERGY and give the dimensions of the...

Homework Statement 1, Express x = 3sin3t + 5cos3t in the form of x=Rsin(3t + ø) 2, Express x = 2sin(0.5t + 3) + 3cos(0.5t + 1) in the form x = Rsin(0.5t + ø) All working must be done in radians. Homework Equations Sine and Cosine Addition Formulae sin(A + B) = sinAcosB +...

http://pirate.shu.edu/~jakistan/". Hence the appeal to metamathematics. For example, that the wave equation for light has the same form as the wave equation for sound waves should tell us more than "These are just waves." It should tell us that light and matter are related at an even deeper...

1. A particle of charge q and rest mass m_0 is accelerated from rest at t=0 in a uniform electric field of magnitude E. All other forces are negligible in comparison to the electric field force. Show that after a time t the relativistic expression for the speed of the particle is...

Homework Statement basically i can't get to grips with rearranging formulae the question is make U the subject fv = uv u+v (uv is divded by u+v) 2. The attempt at a solution i try at making them into brackets etc but i can't get to it can someone show me...

I have run across two formulas for Planck's Law of Radiated Power Density. According to http://hyperphysics.phy-astr.gsu.edu/hbase/bbrc.html#c1" it is Bf(T)=((2*pi*h*c^2)/(lambda^5))(1/(e^(h*c/lambda*k*T)-1)) However, in one of your forums, the pi is missing as it is here...

Hello :) I am currently in grade 11, in Australia. I have an assignment to be completed in the wind tunnel, where we could choose any topic we liked. We also needed to write a full report on it. My lab partner and I decided to construct a rig for a discus (Sporting implement), and measure the...

What's the most mathematical elegant way of converting the numbers on the left (x) to the numbers on the right (y). Note that the numbers don't have to be exactly the same, as long as the property of how the numbers act is left intact - so that numbers (x) closer to 1 act as the formula 1/(1-x)...

in the equation *C^12+C^12-->Mg^24+y(+13.93 MeV)* for what quantity is the energy assigned? and how would i plug in a certain amount of carbon?

[SOLVED] Recursive formulae Homework Statement Determine whether each of these proposed definitions is a valid recursive definition of a function f from the set of nonnegative integers to the set of integers. If f is well defined, find a formula for f(n) when n is a nonnegative integer and...

I just though i'd make up a list of a few of the really beautiful formulas in mathematics. One in my list is: e^{i\pi} + 1 = 0 and definately, the Pythagoras theorem... as for physics.. the energy-mass equivalence is another beautiful formula: E = mc^{2} and.. the Bohr's...

I'm writing a talk on ballistics and was looking for the formula for the distance traveled by the projectile. However, all the formulae I have found exclude air resistance. I understand that the effect of air resistance depends on how stream-lined the projectile is, but is there not a general...

Recently been doing some sums to do with the addition formulae, I can;t seem to get the hang of it. has anyone gor any good guides on how to use it correctly etc the main part I have trouble is when a question states use the Addition fomulae to prove *equation here* especially the double...

On these forums, and in some of my online assignments, people have been using some sort of program or language to type out formulae. 1) What language is this? 2) How do I use this language on the forums? I know the general language, just not how to apply it here. 3) Is there any way to get...

Hi i need some help understanding the method needed to construct difference tables so far this is what I've got table X -2 -1 0 1 2 3 F(x) -105 -45 -25 -27 -9 95 this is my data the x values are -2,-1,-0,1,2,3 and the f(x) values correspond...

which formulae? hi there i have an exam soon and i have the question that follows. A body of mass of 2kg is traveling with a speed of 5m/s. If a force of 5N acts upon it due to friction, how much distance will it travel? does anyone know which formula i need to use?? i am really...

Hey there, I was unsure as where to put this as it seems to fit into quite a few categories, however since it is primarily an algebra question I decided on the algebra forum. I recently spent loads of time working out a formula which (if the object is steadily accelerating through a vacuum...

Hi. I am having problems with finding the empirical formulae What is the emprical formula of magnesium nitride if 0.72g of magnesium combines with 0.28g nitrogen? So what would my first step be? Find magesuim... which would be 0.44g? Can you take me through the steps? Thx

Given the following formulaes prove that maximum speed (Vmax) of a mass on a spring is given by 2(pi)(frequency)(Amplitude) (constant k) A^2 = mv^2 + (constant k) x^2 ma = -(constant k)(x) f = 1/2(pi) sqrt (a/-x) and f = 1/2(pi) sqrt (constant k/m) i just don't...

addition formulae - Trig help requested! I have a problem with this with regard to Sin 120 or Cos 120. Eg sin 165 sin (120 +45) sin120.cos45-cos120.sin45 How do I deal with sin 120 or cos 120? I know that cos 45 is 1/square root 2 and so is sin 45. But in the above problem, the...

HI guys! well! i have got a question with me. Some forumlae i know and some i dont! please help me in solving it. There is a single stage class A amplifier which has Vcc =20V Vceq = 10V Icq = 600 mA RL = 16ohms Ip=300mA. We have to find: 1) DC Input Power 2) DC Power Loss in...

Sorry if this is in the wrong forum, I think it's right but I'm not totally sure. I'm (slowly) working my way through Roger Penrose's brilliant book Road to Reality. Recently I finished chapter four (Magical Complex Numbers) and one thing had me confused. How does he go about getting those...

I'm assuming this is the correct forum, please tell me if it isn't so I'll know if future. I'm new to the whole formulae thing, and need some help with some (presumably) easy formulae. How would I write the following in both words and symbols? I've done as much work as I know how to do, so...

To allow easier access to formulae we commonly refer to within various topics and as a time saver when wanting to generate them in LaTex for discussions, I propose this thread as a convenient place to store useful formulae (to copy and paste as appropriate within threads).

Hi, Is there a general extrapolation formula (or other *simple* quantitative technique) for projecting values in a given series? I have these numbers in a certain series sequence: x=1, y=-3.80, x=2, y=-4.15, x=3, y=-4.47, x=4, y=-4.77, x=5, y=-5.05, x=6, y=-5.27, -5.40 Question is...

One of Godel's results would imply that there must be arithmetic facts (formulae?) that cannot be derived from the peano axioms. (Unless my understanding here is wrong that is). So I wonder, has anyone found such a formula? How could it be proved?

I was reading vecctor analysis and got the mathematical formulae for gradient but could not understand its physical meaning. What is the physical meaning of gradient of a scalar ? And of a vector . Also, I wanted to know the physical meanings of Divergence and Curl .

hey, i was wondering what u guys use to write your formulae. i have this formula to write but i can't write it using the normal keyboard.. thanks

Hello, please could someone help me? I need to confirm that a physics/maths formula will provide me with the correct data to combat a speeding problem in my road that the local police will do nothing about... I need to prove that vehicles can accelerate and achieve high speeds within...

CRC Standard Mathematical Tables and Formulae (30th Edition) by Daniel Zwillinger Does anyone have any recommendations for this text? Thank you. :smile:

Dear Friends, Does anybodi knows the meaning, or anything related to the term: \Psi \nabla \Psi^* or \Psi \nabla \Psi^* - \Psi^* \nabla \Psi Is the representation of something in the reality? Best reggards.

I'm taking my 3rd quarter on phys. in college right now (heat, sound, optics, & fluids this quarter), and I've noticed that neither here nor in high school was the knowledge of constants and formulae emphasized. Basically, you ask for a formula (as long as it's a simple relationship, not the...

I'm just a little curious with these formulas because I like to understand a formula before I use it. There's no doubt I've been using these since gr3 but I would like a mathmatical derivation of them. V_{cone}=\frac{A_bh}{3} V_{pyramid}=\frac{A_bh}{3} All I would like to know here is why...

Dear Friends I'm looking for the formulae of the first edition of the Maxwell's Treatise, of the 1873 year, with 20 equations in 20 unknowns (they are explicitly listed in the paper). It seems that the equations taught today in universities as ‘Maxwell's equations' are actually Heaviside's...

Can I use either of these formulae to find the desity of an object? a) ((Weightapparent/Forcebuoyant) + 1)(Densityfluid) = Densityobj b) (Weightobject/Forcebuoyant *Densityfluid) = Densityobj Thanks

Hi, Can anyone please supply me with an algebraic proof for the transformer equation? ie - Vp/Vs = Np/Ns. Also, can anyone prove the other transformer equation VpIp = VsIs WITHOUT using the theory of conservation of energy as a basis? Please do it the algebra using other formulae, etc...