Reduction Definition and 447 Threads

Homework Statement So it's been a really long time since I've done any ode/linear algebra and would like some help with this problem. Derive the general solution of the given equation by using an appropriate change of variables 2\deltau/\deltat + 3\deltau/\deltax = 0 The thing that...

Homework Statement This is from a lab question, but i think i did it right, i would just like some confirmation. I had to make an electochmical cell for a lab, (actually mutiple ones) but it asks me to find the anode, cathode, and which chemical underwent oxidation and reduction. If you have...

I've been spending some time to think about a really conceptually and mathematically clean way of showing how QED reduces to ordinary QM in low energy limit. More specifically, I would like to consider a restatement of multi-particle QM (of electrons) based on creation and annihilation...

In a two stage reduction gearbox is it possible to have more teeth on the gear pair (helical-parallel axis) of the 2nd stage? I ran through a specification for gear sizes and I am wondering if this is ok.

Homework Statement Let In = \int^{1}_{-1} (1-x^{2})^{n} dx. Use integration by parts to show that In = (\frac{2n}{2n+1}) In-1 for n \geq1. (The integral above is supposed to be between the limits -1 and 1... sorry I couldn't figure out how to make the limits appear...

Bridging Step of Krebs Cycle...oxidatiion or reduction? I am told that the following reaction is a oxidative decarboxylation: pyruvate +CoA + NAD+ ---> acetyl CoA + CO2 + NADH but NAD+ is reduced to form NADH... Do we call it an oxidation because we are interested in what...

Homework Statement Solve : y''+(2/x)y'+y=0 given that y=sinx/x is a solution Homework Equations The Attempt at a Solution y=vsinx/x is the other solution I worked out y'=\frac{vxcosx-vsinx+v'xsinx}{x^3} to work out y'' got extremely confusing for me,so I used an online...

Homework Statement a house plan has 3 different floor plans: Plan A- 3 three-bedroom units, 7 two-bedroom units, and 8 one-bedroom units Plan B- 4 three- bedroom units, 4 two-bedroom units, and 8 one-bedroom units Plan C- 5 three-bedroom units, 3 two-bedroom units, and 9 one bedroom units...

Homework Statement Find the condition of k such that the set of equations x+y-z=1, x+2y+kz=-1, x+ky-z=1, has a unique soltuion,infinite sol'n or no solution. Homework Equations The Attempt at a Solution In the augemented matrix form [1 1 -1 1] [1 2 k -1] [1 k -1 -1]...

Homework Statement Part of an example of using reduction formula, I won't post the whole question as I get most of it, just at the very end, magical things happen with the working and things disappear, as they usually do with integration: The definite integral goes from 0 to pi/4...

Homework Statement Use the method of reduction of order to find a second solution of the given differential equation t2y'' - 4ty' + 6y, t>0; y1(t) = t2 The Attempt at a Solution Here's what I have so far: y = vt2 y' = 2tv + t2v' y'' = 2v + 4tv' + t2v'' so t2 (2v + 4tv'...

Hi PF Designers, Wasn't too sure if this would belong in the Electrical engineering forum but here goes. I'm designing a prototype for my thesis that will read in sensory data wirelessly to a MATLAB script. This sensory data is riddled with noise, however important data is contained in...

Homework Statement Is this oxidation or reduction: (NO3)- ---> NO (this is a half reaction I took from the full equation) Homework Equations Not necessary The Attempt at a Solution At first, I got the oxidation states of each of the atoms For (NO3)- N has an oxidation...

Homework Statement One solution y1(t) of the differential equation is given a) Use the method of reductions of order to obtain a second solution y2(t) b) Compute the wronskian formed by y1(t) and y2(t) Homework Equations (t + 1)^2y'' - 4(t+1)y' + 6y = 0 y1(t) = (t+1)^2 The...

I'm making an assumption while trying to solve DEs by reduction of order. I've got a short form equation that I can use to reduce it if and only if I can place the DE into standard form. The standard form with generic notation would be y"+ P(x)y' +G(x)y = 0 where P(x) and G(x) are continuous and...

I recently did some personal research into the aforementioned functions. I created a few simple functions based in part on sine (and cosine). Anyway, the basic idea was to get a seed from the sine of some number, since -1 =< sin N =< 1. However, I think that sine is not an ideal function to...

string theorists, there are two approaches to reducing 11 dimensions to 4, they are large and we are stuck on one, or they are compactified, too small to see. Which approach makes the most contact with physics? Is it possible to have 1-2 large dimensions and a 4-folded Yau-Calbi space...

Hi all. We are to compare the effect of a shock wave, that is the irreversibilities associated. We have comptued that the upstream and downstream velocities of a shock wave are 1029 m/s and 266.8 m/s respectively. The upstream pressure and temperature is 105kPa and 290K. What question...

I need help solving a higher order differential equation by reduction of order. It will be greatly appreciated if all steps are posted as well! y(Double Prime)-3y(Prime)+2y=5e^3x where y sub one =e^x. Ive tried to get the answer but end up with 3 constants.

Homework Statement a)Prove the reduction formula: \int\ tan^n\ x\ dx\ =\ \frac{1}{n-1}tan^{n-1}\ x\ -\int\ tan^{n-2}\ x\ dx Hint: first write tan^n x as tan^{n-2} \ x\ tan^2\ x and the rewrite using tan^2\ x+1=sec^2\ x. b) Use the formula twice to find \int\ tan^4\ dx The Attempt...

For two blades: A \in {\bigwedge}^r B \in {\bigwedge}^{k-r} and a corresponding pseudovector for the wedge product of the two: I \in {\bigwedge}^k intuition tells me that the following scalar quotient: \frac{A \wedge B}{I} can be reduced to A \cdot...

please help fast! NaBH4 reduction... Homework Statement Compound B [structure shown below] was reduced with sodium borohydride. The student used 1.1015g of Compound B. She prepared the sodium borohydride solution by dissolving 1.0085g of sodium borohydride in sufficient solvent to...

Could anyone give me some pointers regarding this problem? Half-cell Xn+/X is connected with half-cell Yn+/Y and the potential difference is found to be 0.12V with Y being the positive electrode. Yn+/Y is connected with Cu2+ and the potential difference is found to be 0.13V with Cu being the...

I was sick and missed class:rolleyes: ∫ sin^2x dx = x/2 – sin2x/4 + C (I see that there is a trig identity in the answer as sin2x = 2sinxcosx) What I tried (copying the example in the book) u = sinx du = sinxcosx dx (why is du not cosx?) v = -cos x dv = sinx dx (why is this...

I'd heard this was a relatively newer discovery -- that a blunt-body object traveling through a gas experiences a reduction in drag if that same gas is turned into plasma. I'm haven't read exactly why this occurs, but I'd presume that a gaseous fluid medium becomes easier to pass through if...

This one is really discouraging me. It looks sooooo easy since the forces are each in one direction The way I have usually handled these as a procedure is: Find F_r and then find M_r about some point and then decompose M_r into components that run parellel and perpendicular to F_r. Then I...

[SOLVED] Reduction to a Wrench So far I have moved the forces to point O where \sum F=F_r=-10.0\hat{j} I have also re-written each force in Cartesian-vector form where F_1=10[\frac{6i-6j}{\sqrt{72}}=7.071i-7.071j F_2=-10j and F_3=-F_1=-7.071i+7.071j. I am told to decompose each...

[SOLVED] Reduction of resultant Moment/Force So I have calculated the resultant force correctly but my solution for distance is incorrect. I keep getting 6.08 ft but the correct solution is 6.57 feet from B. I found F_r=798.499 which is correct. Then I used, \sum...

Hi, everyone: I was wondering about the relation of a matrix , seen as a linear map, and its row-reduced form, seen the same way. More specifically: take a matrix M , seen as a linear map L. What is the relation between this map L given by M, and the linear map L' given by...

I work for a plumbing company, and I'm trying to understand things like pressure loss etc. Right now I'm trying to figure out what's shown in the attachment. It is a pipe reduction with water flowing trough it. First, is it so that the flowrate at the left end must be equal to the flowrate...

Homework Statement Given: Sn4+ + 2e- --->Sn2+ Estandard=+0.15V For a galvanic cell under standard condition, which of the following anodic half reaction would produce at the cathode a spontaneous reduction of Sn4+ to Sn2+ but NOT Sn2+ to Sn. Pb --> Pb2+ + 2e- Sn2+ --> Sn4+ + 2e- Pb +...

Hi, I'm having some trouble reducing a leapfrog block diagram shown in the attachment. I want to find the transfer function but I don't know how to reduce the portions which "leapfrog". I can reduce the feedback loops G1 and G4 but not too sure on where to go from there. Any help is...

1. The problem Show that \int^{1}_{0}x^{m}(1-x)^{n} dx = \frac{m!n!}{(m+n+1)!} for all integers m, n \geq 0 The question is under "Reduction" topic, so I assume we solve this via reduction. 2. My attempt My attempt is as follows: Let x = cos^{2}x Then we get \frac{1}{2}\int...

Homework Statement Let I_n=\int_{0}^{1} (1+x^2)^{-n} dx where n\geq1 Prove that 2nI_{n+1}=(2n-1)I_n+2^{-n}Homework Equations consider: \frac{d}{dx}(x(1+x^2)^n) The Attempt at a Solution \frac{d}{dx}(x(1+x^2)^n = (1+x^2)-2nx^2(1+x^2)^{-n-1} Integrating both sides between 1 and 0 \left[...

Homework Statement The problem asks me to: Determine a reduction formula for the stated integral (See Picture and problem at: http://garciarussellchem.angelfire.com/Photo/ Please help me out with this problem. I don't understand why they do not include an extra r in the denominator...

Reduce to the 2nd order and solve the eq. (1-x^2)y'' - 2xy' + 2y = 0 (we know that y(1) = 0) I don't know what to do here, except that I'm supposed to find y(2). I know the formulas y(2) = y(1) Int(U) dx where U = (e^(-Int(p(x)dx)) / (y(1))^2 Can I use this?

Homework Statement an ideal gas is allowed to expand adiabatically until its volume increases by 50%. By what factor is the pressured reduced?(gamma=5/3) Homework Equations P1V1^gamma=P2V2^gamma The Attempt at a Solution P1V1^gamma=P2V2^gamma v2=v1+.5V1=3/2V1...

Hello everybody, I'm told that potassium permanganate is dissolved in an aqueous buffer of ammonia and ammonium at equal concentrations (1M), and treated with 1M sodium hypochlorite, the permanganate ion is reduced to insoluble manganese dioxide as the hypochlorite ion is oxiddized to...

I do not understand how to balance these oxidation reduction equations. These equations seem really complicated, I don't understand them. The question that i have to answer is Balance the following equations by the half cell method. Show both half cell reactions and identify them as...

Homework Statement Find the inverse of by reducing the augmented matrix [A|I] using row operations.The Attempt at a Solution I just can't seem to get this one out, it's the last in a series of 9 similar questions and the first I am to have a hard time with. First few attempts involved...

hello, i am unsure if someone will be able to help me with this? If you have a motor running at say 3000 rpm's, and the torque "needed" is more than the motor has to offer. Can you do a gear reduction to get more torque, and gain "all or most" of the lost rpm's back after reduction is made...

Ok I'm trying to do my chemistry homework and well I'm stuck. I have the first few questions done I'm stuck on question 5 step 3, an I'm not sure the other are correct. I still have no idea how to balance equations and well here we go again with balanceing things... 1. What is the difference...

3x+3y+3z=3 x+y+z=-1 3 3 3 | 3 1 1 1 |-1 1 1 1 | 0 0 0 0 | 1 x = -y -z y = 1 Substitute y into x, x = -1 -z Let z = t, tER Then x = -1 -t, y = 1 The corresponding vector equation of the line intersection is: (x,y,z) = (-1, 1, 0) + t(-1, 0, 1) Does that look right...

Given that I_{m,n}=\int_0^1x^m(1-x)^ndx prove that I_{m,n} = \frac{n}{m+n+1}I_{m,n-1} and evaluate I_{4,4} I set the integral up as follows: \int_0^1(x^m(1-x))(1-x)^{n-1}dx \\ = \int_0^1 x^m(1-x)^{n-1}dx - \int_0^1 x^{m+1}(1-x)^{n-1}dx\\ = \frac{m}{m-n+1}I_{m-1,n} \\ which is not what is...

I have a question that I am familiar with, but there is no answer provided and about 1000 ways to make small mistakes. I was hoping someone could take a glance and see if any mistakes jump out. Any tips would really be appreciated. Question What is the reduction potential required for reducing...

Show that tan^n(x) = tan^{n-2}(x)(sec^2(x)-1) \\. Hence if I_n = \int_0^{\frac{\pi}{4}}tan^n(x)dx \\. Prove that I_n = \frac{1}{n-1} - I_{n-2} \\, and evaluate I_5{/tex] My effort: I_n = \int_0^{n-2}tan^{n-2}x(sec^2x-1)dx \\ du = (n-2)tan^{n-3}x sec^2x dx \\, and v = \int(sec^2x - 1) dx...

Homework Statement Prove the following trigonometric reduction using integration by parts: \int \sin^n x dx = - \frac{\ \sin^{n-1} x \cos x}{n} + \frac{\ n-1}{n} \int \sin^{n-2} x dx 2. The attempt at a solution I tried using integration by parts by breaking up sin^n x into sin^(n-2) x...

Hi! I'm from sweden so my english isn't very good, well over to the physics questions: I'm qurrently making a tabletennis simulator, I'm almost done but there are two problems I haven't been able to find solutions to. In the program as it is now the spin of the tabletennis ball is...

How did people come up with this method of finding lin independent solutions to ODEs?

I watched 60 minutes today and they used a new example of global warming in action! The journalist was talking to two arctic biologists, and the man said that there has been a 50% reduction in penguin population. That sure sounds like a big number! Is that true? I don't believe a mention of the...