Fraction Definition and 640 Threads

Hi,I'm reading the proof of Rodriguez recurrence formula P_l(x) = \frac{1}{2^l l!} \frac{d^l}{dx^l} (x^2-1)^l This formula itself isn't a problem. But during the proof I got (1-2xt+t^2)^{-\frac{1}{2}} = \sum_n \left( \begin{array}{c} -\frac{1}{2} \\ n \end{array} \right)...

An aqueous antifreeze solution is 37.0% ethylene glycol (C2H6O2) by mass. The density of the solution is 1.047 g/cm3. Q: Calculate the mole fraction of ethylene glycol. I tried it many time, but still got the wrong answer. that is what i did: mole fraction:(X) = nA/(nA+nB) set the...

Hi, here's the problem : A 60 gal tank contain pure Azote at 36,2 psig and 24,2 °C. We add 908,25 g of freon (CF2Cl2) that evaporate completely. If the temperature of the tank is 8,2 °C : a) What is the molar fraction of the freon. I've made some calculation, but it always result...

Hi, here's the problem : A 60 gal tank contain pure Azote at 36,2 psig and 24,2 °C. We add 908,25 g of freon (CF2Cl2) that evaporate completely. If the temperature of the tank is 8,2 °C : a) What is the molar fraction of the freon. I've made some calculation, but it always result...

How do i find the fraction closest to 0.987654321 using the geometric series? I have tried taking the geometric series and its derivatives but none seem to fit it. Can anyone help?

I`ve been asked to complete the following expresion \frac{x^5}{x^3 - x} I know i`m supossed to reduce the numerator, but i`m a little stuck getting started. The problem i have is how do you reduce x^5? is it simply x^3(x^2)? but then how do you get rid of the x^3 AAHH i`m lost. I...

I really don't know where to find the acceleration of the object in this question. When you push a 1.8 kg book resting on a tabletop, it takes 2.25 N to start the book sliding. Hwat is the coefficient of static fraction? Any help would be greatly appreciated, I have already done the force...

I have y"+y=t , y(0)=1, y'=0 After Laplace transformation a got: (S^3+1)/(S^2(S^2+1)) After I made a partial fraction expansion (S^3+1)/(S^2(S^2+1))=a1/S^2+a2/S+a3/(S^2+1) (1) It comes to a system where a2=1 a1+a3=0 (2) a2=0 a1=1 Here I am getting confused...

Hey eveyone, trying to determine the partial fraction decomposition of: (22x^2+60x+58) (s+1)(x^2+4x+5)^2 I got values for my unknowns A, B, C, D,E are: A=5 B=-1777/29 C=-6143/29 D=-570/29 E=840/29 If anyone out there can double check these for me.

what are alternative ways to do partial fraction? other than the normal method of mulplying the whole term over and comparing coefficient which is super headache method i heard of "cover-up method", gets the answer real quick anyone have details to this?

hey, I am having trouble with the following... (6x^2+5x-6)/(6x^2+13x+6) TIMES (3x^2-4x-4)/(3x^2-8x+4) i can factorise them but i don't know what to do after that... Thanks for your help

Eight lights are connected to in parallel to a 110V power source by two leads of total resistance 1.5 ohm. If 240 mA flows through each lamp, what is the fraction of the total power wasted in the leads? You got a 6 Volt battery, and have to design a voltage divider using 1 ohm resistors to...

Having trouble with one more problem: find the parial fraction decomposition for th erational expression: -8x^3-2 x^2(x-1)^3

What is 125 to the power of 2/3 I think it is 1/125 or .008 but I'm not sure

Hi every one. Just came acroos a nasty piece and was wondering if you could help me with it. I wasn't sure if it belong to math section or here but science it is for my homework I placed it here. Here is the question. Find the integral of \frac{x}{(x+1)(x-2)^2} I have gotten to some...

hello, i have the Intergal ∫(5x^2-3x+1)/((x^2+1)(x-2)) dx i do not know what to do first, i firstly tried to change to partial fraction but that didn't work to, then i tried substitution technique and again i didn't have anything to substitue that got me any further, i don't know what else to...

This is probably easy for everyone on this forum but me. Can someone please explain this to me. I need to simplify this: (sqrt(x) - 4) / (x - 16)) am I on the right track by doing it this way... (sqrt(x) - 4) / (sqrt(x) - 4) (sqrt(x) + 4) ...then cancel the (sqrt(x) - 4) in the...

Use partial fraction decompostion to find: \int_{a}^{b} \frac{2x-1}{x^2(3x+1)(x^2 + 1)} is this partial fraction set up correct? \frac{A}{3x +1} + \frac{Bx + C}{x^2 +1} + \frac{Dx + E}{x^2} = 2x - 1 If this is correct i can solve the integral.

Did I do this right? I'm relying on a formula the teacher gave us in class, without quite understanding it intuitively. So I'm just rewriting the formula to solve for my unknown and plugging in numbers. A sounding rocket launched from Earth’s surface is to achieve a final speed of 1000 m/s...

What fraction of light is reflected from the air water interface? i.e. How intense is your reflection from a lake? since the reflection coefficient is R = (\frac{n_{2} - n_{1}}{n_{1} + n_{2}})^2 n1 = 1 and n2 = 1.33 so R = 0.248. I am not sure how to interprete this? 25% of the light...

Hi, Usually for question like 1/(e^x) I can get rid of the fraction by writing it as e^-x. FOr a question like (e^x+1)/e^x how do I do this? It simplifies down to e^-x+1 but I don't get how to do it. thanks

hi everyone i have a proplem with this excercise: f(t)= (t+1)/(t^2 + 8t + 16) Here what i started: (t+1)/(t^2 + 8t + 16) = (t+1)/(t+4)^2 (t+1)/(t+4)^2 = K1/(t+4) + K2/(t+4)^2 i am stuck from here, anyone please help me, thanks first

Hey guys, I'm working on this project for my research and I am having trouble reducing a fraction. The fraction is: (bc-ab) / (a^3 - ac^2 - 2ab^2 + 2b^2c) I am almost positive that I can end up with only a (b) on top but I am not sure how. I had an idea: (b(c-a)) / (a(a^2-c^2) -...

If 30 MW of power at 45kV (rms) arrives at a town from a generator via 4-ohm transmission lines, calculate the fraction of power generated that is lost in the lines. okay I think I'm not completely understanding what I'm supposed to do in this question, or I'm missing something as from my...

does anyone know how to do this problem? The total vapor pressure above a solution of C_6H_6(l) and C_7H_8(l) is 0.485 atm. What is the mole fraction of C_6H_6(l) in the liquid solution? P^o C6H6(l) = 0.526 atm P^o C7H8(l) = 0.188 atm the answer is 0.879 but I'm not sure how to get that...

This question looks really simple, but I'm having surprising difficulty with it. A hemisperical sign 1 metre in diameter and of uniform mass density is supported by two ropes, as shown in the diagram. What fraction of the sign's weight is supported by each rope? I am having trouble...

An 8.90-cm-diameter, 310 g sphere is released from rest at the top of a 2.00-m-long, 17 degree incline. It rolls, without slipping, to the bottom. a) What is the sphere's angular velocity at the bottom of the incline? b) What fraction of its kinetic energy is rotational? If someone could...

Partial Fraction!Really Really Urgent Hey I am stuck in this question.Plese help me do this 3/(x^3 +3 ) change this into partial fraction

I need to find the partial fraction expansion of the integrand z/[(z-2i)(z+i)] Just doing 1/(z-2i) + 1/(z+i) results in (2z-i)/(z-2i)(z+i). It seems easy, but I can't figure out what to multiply by to get the correct numerator.

As part of finding the integral of z/(z^2 -1), I'm stuck on getting the partial fraction for it. 1/2 [(1/(z-1) - 1/(z+1)] gives 1/(z^2-1). What should I do to get the z in the numerator. Any hints welcome. Regards

The following problem appears in my textbook (before it discusses the quotient or product rule, so those rules cannot be used for the answer): Find the derivative of the function: \frac{x^3-3x^2+4}{x^2} I brought the denominator to the top and multiplied it out to get {x-3+4x^-2}[/ltex]...

Here is the problem: A student has two ramps both are at an angle of 30o. Ramp 1 is frictionless and ramp 2 has friction. The student also has two blocks, one for each ramp. She pushes the blocks up the ramps with the same initial velocity. The block on ramp 2 only travels a fraction f =...

\frac{1}{(c^2a_{11}a_{22}-c^2a_{12}a_{21})} = \frac{1}{A} + \frac{1}{B} anyone know how to solve for A and B?

Hello, all, I am here is to ask how can I factorise an equation with fraction indeces?? (Help~) The question I have got is x^(3/2) + a^(3/2), and the suggested method is using the factor theorem... but I just don't understand how could that works... However, I would be very grateful if...

Would someone be kind enough to show the working for expressing the following in partial fractions: \frac{x^2}{(x-1)(x+1)} I believe the answer is \frac{x^2}{(x-1)(x+1)} \equiv 1 + \frac{1}{2(x-1)} - \frac{1}{2(x+1)} Thanks in advance, Sammon Jnr

What is the best way to convert a fraction into a decimal. IE: 3/8?

Simplify (y^-3 - x^-3) / (xy^-1 + x^-1y + 1) better picture of it here http://members.rogers.com/agentj/images/math2.jpg I tried flipping the variables with negative exponents to the numerator and denominator, but then had no idea what to do next :frown:

limn-->oo(x2n-1)/(x2n+1) I can't figure this one out. I've tried everything. I tried splitting the fraction into two, applying a log to each side, factoring the top, dividing by x2n, and Lhopitals rule doesn't apply and wouldn't help if it did. Any ideas?

I have been doing revision on integration lately, and came across a question that need to resolve (1+u2)/(1+u4) in partial fraction before I can proceed. 1+u4 = (u2-2u+2)(x2+2u+2) therefore 1+u2 = (Au+B)(x2+2u+2) + (Cu+D)(u2-2u+2) and I need to find out A, B, C and D But wait, the...

I am stuck on one of the AP Physics problems. Could you please help me out and give some pointers on how to solve the following problem: A hemispherical sign 1 m in diameter and of uniform mass density is supported by two strings. What fraction of the sign's weight is supported by each...