# function ( partial fraction)

21,056 results

### partial fractions

(7x^2-16)/(x^2-2x) solve by using partial fraction decomposition. i cant figure out how to do this because after i split up the bottom the A and B don't end up having an x^2 in order to equal the numerator of the original fraction. so confused!

### Math Help

Directions: Decide whether the statements are true or false by using partial fraction decomposition. If the statement is false, show the correct way to decompose the partial fraction. 3/x^2+x-2=-1/x+2+1/x-1

### function ( partial fraction)

if f(x) ax^2+bx+c , g(x) :1/3x^2+2 and fg(x)= 18x^4+24x^2+11/(3x^2+2)^2. find a ,b and c

### Maths

If z=(x^n) f(x/y), where f is an arbitrary function, show that: x(partial z/partial x) + y (partial z / partial y) = nz Can someone please show me how to work it out? Thanks!

### chemistry

The time dependent concentration of solute particles in a solution is given by c(r, t) = [n/8(pi D t)^(3/2)] e^(-r^2 /4 D t) where r^2 = x^2 + y^2 + z^2 with x, y, and z being the values of three components of the position in the Cartesian coordinate system. a) Show that the ...

### calculus

Write the form of the partial fraction decomposition of the function do not determine the numerical values of the coefficients. 1/x^4-2401

### partial maths

x^3/(5x^3-1) resolve into a partial fraction

### math- partial fractions

how do you i do the partial fraction for 1/(s^2)(s^2 +2s +3)

### Calc

Classify all critical points of the function f(x,y)=x^2-y^2+4x-2y+1. I know I have to take the partial derivative and set them equal to zero to get my points and then use the Hessian. For some reason I am not getting the correct answer. partial d/dx 2x+4 and partial d/dy 2y-2 ...

### Partial Decompostion Fractions

Can you please help me with the following questions please, I don't understand them. I know the general rule about them. Write the partial fraction decomposition of the rational expression. (x^2+4x-1)/(x^2+3)^2 (4x^3+4x^2)/(x^2+5)^2

### Algebra-Partial Fractions

Can you please help me with the following questions please, I don't understand them. I know the general rule about them. Write the partial fraction decomposition of the rational expression. (x^2+4x-1)/(x^2+3)^2 (4x^3+4x^2)/(x^2+5)^2

### Maths-Integration by Partial Fraction

Use integration by partial fractions to find Integral (3x^2-x+2)/(x-1)(x^2+1) dx

### physics

Part (a) of the figure below is a partial graph of the position function x(t) for a simple harmonic oscillator with an angular frequency of 1.00 rad/s; Part (b) of the figure is a partial graph of the corresponding velocity function v(t). The vertical axis scales are set by xs...

### Math (Calculus II) (Partial Fraction Decomposition

I'm having trouble trying to solve for the partial fraction decomposition in order to find the integral. ∫ x / (x^4 - a^4) dx I'm assuming a is some constant in this case. So I factored the denominator to this: (x^4 - a^4) = (x^2 + a^2)(x + a)(x - a) Which turns each of them...

### Calc Help Please Again Last one!

Write out the form of the partial fraction decomposition of the function appearing in the integral: integral (6x-58)/(x^2+2x-63) Determine the numerical values of the coefficients, A and B, where A <= B A=? B=? Thank you guys so much! =)

### Physics

Figure a is a partial graph of the position function x(t) for a simple harmonic oscillator with an angular frequency of 1.75 rad/s; figure b is a partial graph of the corresponding velocity function v(t). The vertical axis scales are set by xs = 2.50 cm and vs = 2.50 cm/s. ...

### College Chemistry

A mixture of He and O2 is placed in a 4.00L flask at 32 degrees Celsius. The partial pressure of the He is 2.7 atm and the partial pressure of the O2 is 1.4 atm. What is the mole fraction of O2?? I don't understand how to do this.

### Chemsitry II

mole fraction is equal to partial pressure divided by the total pressure Total pressure= sum of partial pressure use PV=nRT where n= number of moles equation become PV/RT=n make sure to convert the temperature to Kelvin and to use 0.0821 for R. V=volume, P=total pressure The ...

### Chemsitry II

The partial pressure of CH4(g) is 0.185 atm and that of O2(g) is 0.300 atm in a mixture of the two gases. a) What is the mole fraction of each gas in the mixture? b) If the mixture occupies a volume of 11.5 L at 65 degress C, calculate the total number of moles of gas in the ...

### CHEM HELP

The partial pressure of water above a solution of water and a nonvolatile solute at 25oC is 19.2 mm Hg. What is the mole fraction of the solute please help....I really don't know how I am supposed to solve this question. I know that Partial pressure of the solvent above a soln...

### Math

Calculate the integrals by partial fractions and using the indicated substitution. Show the results you get are the same. dx/1-x^2; substitution x= sin pheta I understand how to do the partial fraction part, but not the second part and I don't know how they are similar. Any ...

### Chem

A gas mixture in a 3.100 L container at 415°C contains 1.30 g each of Ar, CO, and CH4. Find the partial pressure of Ar (in atmospheres). Find the total pressure of the gas mixture (in atmospheres). Find the mole fraction of CO. Do I use PV=nRT for partial pressure and if I do...

### chemistry

When determining partial negatives and partial positives, does the partial postive go with the more electronegative atom? Ex: C=O, the polarity arrow goes toward the O because its more electronegative than the C but which atom gets the partial negative and which has the ...

### calculus

find the exact length of the curve y = ln(1-x^2), 0 <= x <= (1/2) So by doing the work I eventually get down to integral from 0 to 1/2 (1 + x^2)/(1-x^2) dx but I keep getting -1 + 1/(x-1) - 1/(x+1) after partial fractions which gives the answer ln(1/3) - 1/2 when I ...

### Math

integrate (x^2+8)/(x^2-5x+6) by partial fractions method. I first did long division, and came up with 1+((5x+2)/(x^2-5x+6)). Then I did partial fraction for (5x+2)/(x^2-5x+6) by going A/(x-3)+B/(x-2) and I got 17/(x-3)-12/(x-2) to take the integral of. But when I check online ...

### Calculus

Find the equation of the tangent plane at the given point. 1)x^2+y^2-z=1 at the point (1,3,9) 2)x^2*y^2+z-40=0 at x=2, y=3 3) x^2+ln(xy)+z=6 at point (4,0.25,2) For the first one I got the partial fraction in terms of x, y and z and my final answer was -2x+6y-z+2. I don't know...

### Calc II

Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and evaluate the integral: (integral of) 2y^4dy/y^3 - y^2 + y - 1 After long divison I get: (integral of)2ydy + 2(integral of)dy + (integral of) 2/y^3 - y^2 + y - 1 I keep getting ...

### Chemistry

The vapor pressures of ethanol (C2H5OH) and 1-propanol (C3H7OH) are 100 mmHg and 37.6 mmHg, respectively. Assume ideal behavior and calculate the partial pressures of ethanol and 1-propanol at 35 degrees Celsius over a solution of ethanol in 1-propanol, in which the mole ...

### Partial fraction

(x-1)(x^2+x+1)/(x^2+1)(3x^2+4x+5)

### partial fraction

2x^2+7x-1/x^3+x^2-x-1

### Chem

A mixture of He Ne and 3rd gas exhibit a total pressure of 486 mm hg if the partial pressure of He125mm mm hg and partial pressure of Ne is 214mm hg what is the mole fraction of the 3rd gas in container

### precalculus

please check my answers 1.Use Gaussian elimination to write the system of equations given below in row-echelon form. 2x+4y+z=-4 2x-4y+6z=13 4x-2y+z=6 answer:2x+4y+z=-4 8y-5z=-17 z=1 2.Find the solution to the system of equations given below. x+y+z=2 -x+3y+2z=8 4x+y=4 answer: 0...

### Calculus Partial Fraction

(x^2)/(x^3)(x-2)

### Algebra

Below is my problem with my answers. I don't think this is that tough, but I cannot believe that my ABC answer's are a fraction. Did I do this correctly? Find the unknowns on the right side of the partial fraction. (x+3)/(x^3+64)=(A)/(x+4)+(Bx+C)/(x^2-4x+16) x=0 A= (-x^2B-4xB-...

### Chemistry partial molar volumes

The partial molar volumes of the CCl4 and benzene are 122cm3/mol and 98.0 cm3/mol, respectively in a solution in which mole fraction of chloroform is 0.2. Calculate the volume occupied by 2.5 moles of the solution. Thank yOu.

### partial fraction

if f(x) ax^2+bx+c , g(x) :1/3x^2+2 and fg(x)= 18x^4+24x^2+11/(3x^2+2)^"

### Math

Partial Fraction Decomposition: 2x^2+x+8/ (x^2+4)^2

### CHEMISTRY

A mixture of methane and helium is placed in a 2.0 l flask at 27 degrees the partial pressure of methane is 0.72 ATM and the partial pressure of helium is 0.22 ATM . What is the mole fraction of ch4?

### Mathematics

Is there Anybody can help me on this? Bless you. Express (2x^4-2x^3+x)/((2x-1)^2(x-2)) in partial fraction.

### maths

resolve the partial fraction:x^3+6/x^2(x+3).with explanations thanks

### mathematics

express x×x+x+4/(1-x)(x×x+1) into partial fraction

### Physics Phase Constant

Figure A [[which i tried to recreate below]] is a partial graph of the position function x(t) for a simple harmonic oscillator with an angular frequency of 1.1 rad/s. [a] ............x(cm).............. .................5...

### P-Chemistry

A closed vessel of volume 2.50 dm3 contains 100g of nitrogen (N2) and 100g of carbon dioxide (CO2) at 25 C. What are the partial pressures and mole fractions of each gas? Can you check my answers.Thank you. I got Partial Pressure for N2=34.95 atm CO2=22.24 atm Mole fraction of...

### Mathematics

Express (x^6-x^5-4x^2+x)/(x^4+3x^2+2) in partial fraction. Help anybody? Much appreciated.

### Mathematics

Express (x^2+23)/((x+1)^3(x-2)) in partial fraction. Thanks very much

### Math

Express in partial fraction.7x^2-18x-7 divided by (x-4)(2x^2-6x+3)

### Math

Express in partial fraction.7x^2-18x-7 divided by (x-4)(2x^2-6x+3)

### Pre-Calculus(Help)

Partial Fraction of the Rational Expression: x^2+x+8/x^3+x

### maths

resolve the partial fraction: x^3+6/x^2x+6.plz explain thanks

### Chem

At 930 K, Kp = 0.30 for the following reaction. 2 SO2(g) + O2(g)=>2 SO3(g) Calculate the equilibrium partial pressures of SO2, O2, and SO3 produced from an initial mixture in which the partial pressures of SO2 and O2 = 0.51 atm and the partial pressure of SO3 = 0 (exactly...

### Mathematics

Anybody know how to do this? I need help ASAP..Express (x^2-x)/((x^2+3)(x^2+2)) in partial fraction. Thanks a lot.

### math

how do you integrate 30x^2/((x-2)(x+3)(x-5)) using partial fraction decomposition

### precalc

Write the partial fraction decomposition of the rational expression. 6x^2+1/x^2(x-1)^2

### Pre-Calc

How do I solve this via partial fraction decomposition? (x^2+9)/(x^4-2x^2-8)

### Calculus II

using integration by partial fraction, prove that pi + integral from 0 to 1 of x^4(1-x)^4/1+x^2 = 22/7

### Pre-Calc

How do I write the partial fraction decomposition of 7/(x^2+13x+40)?

### chemistry

The gases in a mixture have the following partial pressures at the same volume and temperature: 1,013,000 Pa nitrogen, 700 mm argon, 1.20 atm of helium, 790 torr oxygen, and 0.50 atm of carbon dioxide. Rank these gases in order of increasing mole fraction, putting the gas with...

### Mathematics

Express (3x^3+2x^2+2x-3)/((x^2+2)(x+1)^2) in partial fraction. Help any1 plz ASAP. Thanks a million

### PRE CALC

please help me solve this partial-fraction decomposition! 12x-57/(x-3)(x-10)

### Calculus Partial Fraction

Sorry. The problem should have been: (x^2)/(x^3-8)(x-2)

### precalculus

Write the form of the partial fraction decomposition of the rational expression. 2x-4/x^2-1

### precalculus

write the form of the partial fraction decomposition of the rational expression (2x-4)/(x^2-1)

### precalculus

write the form of the partial fraction decomposition of the rational expresion. (x^2-x+2)/x(x-1)^2

### precalculus

Write the form of the partial fraction decomposition of the rational expression. 1/9x^2-4

### precalc/trig

Write the partial fraction decomposition of the rational expression. 4x^2–19x+31/ (x+2)(x^2–4x+5)

### Math

Write the partial fraction decomposition of the rational expression. (80-14x)/(x^3 -8x^2 +16x)

### Math

Write out the partial fraction decomposition of the following rational expression. 3x^2-7x-2/x^3-x

### Math

Write out the partial fraction decomposition of the following rational expression. 1.) 3x^2-7x-2/x^3-x 2.) x^3-x+3/x^2+x-2

### mathematics

x^4+3x-4/(x^2+1)^3(x-4)=Ax+B/(x^2+1)+(Cx+D)/(x^2+1)^2+(Ex+F)/(x^2+1)^3+G/(x-4)+H/(x-4)^2.? find ABCDEFGH plz it a partial fraction i need the solution urgently

### Math

I have a fraction problem that I partial know how do solve: 6/ 4/5= 6/1 divided by 5/4= 30/4= 15/2, but then the answer is 7 1/2 how did they get 7 1/2. Please help!!

### Math

I need help with this partial fraction problem. Find the indefinite integral of (-5x^3+5x^2-5)/(x^4+X^3). I got -5(log(x+1)+(1/x)-(1/(2x^2)).

### Precalculus

Ok u have to put X^3-8 divided over X^2(X-1)^3 Into a partial fraction I need help please

### Chemistry

Express the absolute value of the partial charges as a decimal fraction of the elementary charge for OH.

### algebra

write the partial fraction decomposition of the rational expression ax over x squared -x-2 or ax ____________ xsquared-x-2

### government secondary school abuja

solve the partial fraction.x^4+3x-2/(x^2+1)^3(x-4)=(Ax+B)/(x^2+1)+(Cx+D)/(x^2+1)^2+(Ex+F)/(x^2+1)^3+G/(x-4)+H/(x-4)^2.Find the value of ABCDEFGH, plz help

### maths

x^4+3x-2/(x^2+1)^3(x-4)=(Ax+B)/(x^2+1)+(Cx+D)/(x^2+1)^2+(Ex+F)/(x^2+1)^3+H/(x-4)+G/(x-4)^2.find ABCDEFGH?plz solve it a partial fraction i serious need the solution urgently

### math

write a definition for an equivalent fraction. A. a fraction of multiplication B. fraction with unlike denominators C. a fraction with the value of n D. a fraction thar represents equal amount I put down D.

### Calculus

Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants: 4x + 1/(x + 6)(x - 5) I came up with A/x + 6 + B/x - 5

### Trig

How would you write the partial fraction decomposition of the rational expresion 1/(x^2)-25? I know that you factor the denominator, so that's 1/(x-5)(x+5). What are the next steps?

### pre-calculus

partial fraction; use the rational roots theorem to factor denominator. x^3 + 2 ----------- x^4 +8x^2 +16 i got to that and im stuck Ax+B + Cx+D ---- ----- x^2 +4 x^2 + 4

### Math

Find the partial fraction decomposition for the ration expression. (4x^2 + 9x - 8) / x(x+2)^2 So far, I believe the format is (A/x) + [(Bx+c)/(x+2)^2] ...and I get confused after that. Help plz! Thank you!

### Chemistry

A gas mixture contains 1.16 g N2 and 0.89 g O2 in a 1.49 L container at 16 degrees C. What is partial pressure of N2 & O2? *I already know the mole fraction for N2 is 0.60, and 0.40 for O2. I just don't know where to go from here.

### Calc

∫ (2x+1)/(x+1) dx Please show steps if you work it. I think it's a partial fraction and worked with decomposition. Not sure though.

### government secondary school

maths:x^4+3x-2/(x^2+1)^3(x-4)=(Ax+B)/(x^2+1)+(Cx+D)/(x^2+1)^2+(Ex+F)/(x^2+1)^3+G/(x-4)+H/(x-4)^2.fine the value of ABCDEFGH,it a partial fraction o plz i need the solution urgently

### Maths

When the numerator and denominator of a fraction are each increased by 5, the value of the fraction becomes 3/5 When the numerator and denominator of that same fraction are each decreased by 5, the fraction is then 1/5 Find the original fraction. (Hint: Let the fraction be p/q...

### Chemistry

Heat Capacity at constant volume: CV = (partial q / partial T) with V constant since volume is constant, work is zero and dq = dU, so CV = (partial U / partial T) with V constant Delta U = CV * Delta T Does this final relationship hold during a reaction where volume is NOT ...

### Physics Phase Constant

..im really stuck on this. can someone please explain? ------- Figure A [[which i tried to recreate below]] is a partial graph of the position function x(t) for a simple harmonic oscillator with an angular frequency of 1.1 rad/s. [a].....x(cm)....... ........5...

### Chemistry

In a gas mixture of He, Ne, and Ar with a total pressure of 8.40 atm, the mole fraction of Ar is ________ if the partial pressures of He and Ne are 1.50 and 2.00 atm respectively. pHe = 1.50 atm. pNe = 2.00 atm. pAr = 8.40 atm - 1.50 - 2.00 = ?? mole fraction Ar = pAr/total p.

### Calculus II

Evaluate the integral by first performing long division on the integrated and then writing the proper fraction as a sum of partial fractions. x^4/x^2-9

### Chemistry

If N2 is added to a balloon that contains O2 (partial pressure 450 mm Hg) and CO2 (partial pressure 150 mm Hg) to give a total pressure of 850 mm Hg, what is the partial pressure of each gas in the final mixture?

### Chemistry

If N2 is added to a balloon that contains O2 (partial pressure 450 mm Hg) and CO2 (partial pressure 150 mm Hg) to give a total pressure of 850 mm Hg, what is the partial pressure of each gas in the final mixture?

### Chemistry

Express the absolute value of the partial charges as a decimal fraction of the elementary charge for CH. The bond length, is 131.1 pm, and the Dipole Moment, D is 1.46

### math (2)

Find the first partial derivatives of the function. f(x,y,z) = xe^(y/z) a. fx = ? b. fy = ? c. fz = ?

### math (2)

Find the first partial derivatives of the function. f(x,y,z) = xe^(y/z) a. fx = ? b. fy = ? c. fz = ?

### algebra

Could somebody tell me in simple terms why equating coefficients works in partial fraction decomposition? Like a simplified proof or something? I don't understand why.

### Calculus

How do I integrate sqrt of (1+e^(2x)) if doing u-sub.. u=sqrt of (1+e^(2x)) and ten using partial fraction...?

### Math

Integrate it in step by step applying integration by partial fraction. ∫(x^2)/(x^2+1)dx

### Urgent Math

Integrate it in step by step applying integration by partial fraction. ∫(x^3)/(x^2+1)dx

### Math

write the partial fraction decomposition step by step (-5x^2-8x-3)/(x^3+x^2+x)