Factors Definition and 411 Threads

I need some explanation regarding a solution found in our textbook. The example starts with this DE: (1) y(x3 - y)dx - x(x3 + y)dy = 0. By regrouping, exact DEs will be found and the equation can be rewritten to: (2) x3 d(\frac{x}{y}) - \frac{d(xy)}{y} = 0. The integrating factor is found...

I've just completed a simulated experiment concerning the reaction between iodine ions and persulphate ions: 2I-(aq)+S2O82-(aq)-->I2(aq)+2SO42-(aq) (1) The iodine produced from this reaction, in turn reacts with thiosulphate ions: I2(aq)+2S2O32-(aq)-->2I-(aq)+S4O62-(aq) (2)...

Is there a function f(x) that will give the average number of prime factors for x_1 0<x_1<x, in a way similar to the way that Li(x)/x gives the approximate odds that a number from 0 to x is prime?

Homework Statement http://img42.imageshack.us/img42/1231/lobgave.jpg Homework Equations The Attempt at a Solution i think that solution shuld look something like this: (x-a)2*(x-k) but I am pretty lost, so i need some help...:cry:

Homework Statement http://img33.imageshack.us/img33/1231/lobgave.th.jpg Homework Equations The Attempt at a Solution It's the solution, but i have a feeling that there is a more correct way of doing it. At least i need a way to write it so it is mathematical...

Homework Statement Calculate the mass of nitrogen dissolved at room temperature in an 80.0L home aquarium. Assume a total pressure of 1.0 atm and a mole fraction for nitrogen of .78. Homework Equations Mole fraction= moles solute/moles solution Sgas=KH x Pgas KH = 6.1 x 10-4...

Homework Statement Resolve z^5-1 into real linear and quadratic factors. Hence prove that cos\frac{2\pi}{5}+cos\frac{4\pi}{5}=-\frac{1}{2} Homework Equations z=cis\theta z\bar{z}=cis\theta.cis(-\theta)=cos^2\theta+sin^2\theta=1 z+\bar{z}=cis\theta+cis(-\theta)=2cos\theta...

What will be the numbers of positive factors of product of n distinct prime numbers? i was able to get 2^n. pls how do i prove this?

Ok, so I got this question that is about factors affecting the thermal equilibrium of an object when heated when factors are altered. Basically, the setup is that the object is heated (Maybe a glass of water heated) and we are supposed to find out what factors affect the eqm temp of the...

What are the factors that affect viscosity of incompressible Newtonian fluid? Here is what I think: Temperature: When we increase the temperature of a fluid (controlled volume) the frequency ofintermoleculer collisions increases. Does this mean viscosity decreases? And if so, does...

Hi guys.. I am currently working on a research where I have totally no idea in. What are the factors i need to take into consideration if I were to design a pressure vessel?

Homework Statement Find the mg of Fe in vitamin pill. Vitamin pill was dissolved in 25mL HCl which was then diluted to 250mL with water in flask. 25mL of that solution was then diluted to 100mL in another flask. 10mL of the second was diluted to 100mL in another flask. Absorbance of the last...

Homework Statement I have a question to find Scalar factors of parabolic cylindrical coords and element dV with provided tranformation equations. I know the values for both of them and that the product of the scalar factors is the dV, but how do i derive those scalar factors? I don't even know...

Homework Statement Let G and G' be finite groups whose orders have no common factor. Prove that the homomorphism \varphi G \rightarrow G' is the trivial one \varphi (x) =1 for all x. The Attempt at a Solution My thoughts are that we need to use lagrange's thm. somehow. or maybe...

Homework Statement "A scientist prepares 100 mL of an iron (III) nitrate solution by weighing out 4.8372 grams of the solid iron (III) nitrate and dissolving it in deionized water using a 100 mL volumetric flask. She then pipettes 5 mL of that solution into a 20 mL volumetric flask and...

Hello I have to calculate symmetry factors for the following feynman diagrams for my qft class, and would be hugely grateful if anyone could point out any mistakes (I'm sure there are lots!) that I've made. http://picasaweb.google.com/jessicagreerstanley/Physics#5259179071440262450"...

If one considers an ideal gas, what does the mean time between collissions of the molecules depend upon? molecular size? number per unit volume? temperature of the gas? I'm thinking so far, it must def depend on number density. It would usually depend on molecular size (but I thought an ideal...

Homework Statement Prove that every polynomial with real coefficients factors into linear and quadratic real factors. Homework Equations So show that f(x) = x^{n} + a_{}n-1x^{n-1}+...+ax +a_{}0 factors into some (x-r_{}1)(x^{2}+4)... The Attempt at a Solution I understand how and...

Is it true that the characteristic polynomial of an n by n matrix over GF(q) splits into linear factors over GF(q^n)? I see that it must do if the polynomial is irreducible but what if it isn't?

And if I'm heating a liquid that contains things that evaporate at different temperatures, will I have an increasing amount of trouble separating these things as I increase the amount of heat applied?

what factors affect materials behaviour? what factors affect materials behaviour? help me please...

I am having issues finding the integration factor for the following two problems. I believe the second one can be solved by inspection. 1. (y^3+2ye^x)dx + (e^x+3y^2)dy = 0 2. (x-x^2-y^2)dx + (y+x^2+y^2)dy = 0

Homework Statement A generator is constructed by rotating a coil of N turns in a magnetic field B at a frequency f. The internal resistance of the coil is R and the cross sectional area of the coil is A. Which of the following statements are true? (Give ALL correct answers, i.e., B, AC...

Homework Statement Determine the response factors for both Na and K with the Li internal standard Concentration Ratio Na : K : Li (in ppm) 5.0 : 5.0: 500 ------------------- Signal Ratio Na : K : Li (relative units) 4.9 : 6.4: 36.2 Homework Equations Ax/x = F(As/s)...

Dear friends, i was working on a hadronic decays. It appears that one has to calculate form factors. These form factors involve some very complex numerical integration. I would like to know if there are some packages available for calculating these form factors.

So I'm studying infinite limits in my calculus text (seemed close enough to good old arithematic to put in general math, though), and the following rule is mentioned: Given two functions f(x) and g(x) defined for all real numbers, when given the quotient f(x)/g(x) where f(c) is not 0 and g(c)...

Using this: http://scienceworld.wolfram.com/astronomy/TropicalYear.html I derived this unix C code, which duplicates expected outputs. Note the constant T which is a correction factor for the epoch based in 2000, or so I assume because 2451545 is Jan 1 2000. And I have about epochs in...

I am trying to determine the critical crack length of a part using finite element analysis. The software I am using (ABAQUS) has the ability to perform fracture analysis. I model the part, create a crack, and ABAQUS will output the stress intensity factors (modes I, II, and III) and contour...

What are the limiting factors in this case... Hello, I have quite recently shifted to this area in Thailand. This is a very small town, there are no big cities for more than 150km distance, & no special industrial towns nearby. Before coming here I had thought this will be a very good...

[SOLVED] Integrating factors or separating the variables Homework Statement The following equation can be solved by intergrating factors or by separating the variables. \frac{dy}{dx} - \frac{y}{4x} = 0 with the initial condition of y(2)=3 Homework Equations The Attempt at a...

I have a piece of coursework due in soon (as a matter of fact, about 2 hours from now), and I need to know what the lmiting factors were. Here's the method: (a copypasta from my handed-in plan) For this experiment, I measured out a length of a resistive metal wire, and connected it to the...

i got a ti-83 calculator, is there any way to put in a number and get the factors listed for me? like put in the number 200 and get it to return 1x200,2x100 and so on... if not is there any program out there to enter into the calculator to make that happen thanks

Ok this should be pretty simple math for you guys (Sophomore in HS) Given that x-2 is a factor of P(x)=2x^3-3x^2-17x+30, find all other linear factors. I started out doing synthetic division, and got 2x^2-x-19 with remainder -8. Shouldn't the remainder be zero since x-2 is a factor...

Hi , i am interested to know physics behind MOS capacitors, on which iam currently working in . i started to fabriacate a MOS capacitor without using oxide (silicon dioxide) layer, i have read in articles that a MOS capacitor can be fabricated by using the native oxide layer ( naturally formed...

I'm curious as to what does the limit of the magnitude of static friction depends on between any two objects.

Arc Length, Irreducible quadratic factors i'm having a hard time seeing this method, and i have to use this method on one of the problems I'm doing to find it's Arc Length. L=\int_{\sqrt{2}}^{\sqrt{1+e^{2}}}\frac{v^{2}dv}{v^{2}-1}} the book suggests to first divide then use a...

Initial velocities and masses of the objects colliding...?

Homework Statement "If the circumference of a circle changes by a factor of 3, then its area changes by a factor of ____." Homework Equations C=2*Pi*r A=Pi*r^2 The Attempt at a Solution I really don't know where to start.Recently I have been learning about the changing of factors and I'm...

This problem came up on a math contest the other day and I drew a blank - now it's bugging me. "If the polynomial P(x)=x^2+ax+1 is a factor of T(x)=2x^3-16x+b, find the values of a and b." Anyone have any ideas?

Homework Statement I don't understand something I have read about partial fractions so I wonder if anyone can help! To each repeated linear factor in the denominator of the form (x-a)^2, there correspond partial fractions of the form : A/(x-a) + B/(x-a)^2 Is this true if we have...

define the sequence P_n as follows: P_{0} = 1 ; P_{1} = a and P_{n} = 6P_{(n-1)}-P_{(n-2)} + 2a^2-8a+4 Then each term is a product of two numbers as follows P_{n}= {1*1,1*a,a*b,b*c,c*d,d*e,\dots} where b = 2a-1 c = 4b-a d = 2c-b e = 4d-c f = 2e-d ... ... Has anyone come across...

Hi, Apart from heat and number of moles, what dictates how much a gas will expand when exposed to heat. Is it density? The density of Xenon is 5.894 g/L and the density of Helium is 0.1786 g/L does this mean that if they were both in the same conditions of volume of container, number of...

I have investigation on measuring the factors the signal strength from the transmitting antenna. I have some idea about measuring the signal strength. Is it true to use field intensity meter to measure signal strength with the unit of volts per metre? Thank you for helping out.

What are the factors which affect the travel of sound through different mediums? You does sound travel faster through a solid than a gas, is it because of the greater density of the solid, or because of the stiffness of the solid? Does sound travel faster in humid air, or dry air? many thanks...

Hello everyone I'm stuck with a problem from Simmons (not HW). The problem asks to solve the following equation by finding an integrating factor (xy-1)dx + (x^2 - xy)dy = 0 I found by hit and trial that there can be no integrating factor that is a function of x alone or y alone. So how...

What determines the speed of sound in a medium? I guess I'm asking what is the resistance to it.

1 Joule = 1N x 1m which means 1 Joule = 1kg x 1m/s^2 x 1m but can it also mean that the object accelerates at 0.5m/s^2 and travels 2m? The mass is constant, so if it is given 1J of energy how do you know the factors of the acceleration and the distance?

Hi, I'm doing some work on DVCS and was wondering if anyone could better explain the link between FF's, PDFs, Compton Form Factors, and GPDs. Thanks

Homework Statement Final round I promise! Is there some sort of trick that can be applied to the following equation so that it is easier to process? \frac{dy}{dt}=\frac{1}{t+y},\:y(-1)=0 The Attempt at a Solution Somebody told me that the equation can be made easier by...

Homework Statement y' (1+e^t) + e^ty = 0 How do I get it in the form y' +f(t)y = f(p) That is how do apply algebra to this so it is in the proper form to process it? The Attempt at a Solution Kind of hard to post my attempt. I can move the y' (1+e^2) to the right side then divide both...