Question
) Express as a sum of partial fractions.
Answer :
Word Count : 296
____ ____ ______ _______ _________ ________ _______ ____.
________ _____ __________ ____ ____ ________ ______ __________ _________ ____ _____ _____.
_______ _____ _________ _________ ______ _________ __________ _____ ______ ______ ______ ________.
___ _____ ______ ______ ________ _____ ______ ______ _______ ________ ______ _______.
_____ ________ ____ _____ ______ ____ ____ _________ _______.
__________ _________ _________ ___ ________ ___ ______.
___ _______ ________ __________ ________ ______.
___ ____ _______ _________ _____ ____ __________ ________.
________ __________ ______ ___ ______ ____.
__________ ____ _____ _______ ____.
_______ _________ ______ ___ _________.
___ __________ ______ _________ _________.
_____ ___ ____ _________ ___ _________ _______ ______.
__________ __________ ____ _________ ____ ________ ______ ________ ____.
_______ ________ __________ _____ _________ ________ ___ __________ _________.
_______ __________ ____ ______ _______ ________ ____ _____ ________ ______ ______ ______.
__________ ____ _____ ________ ____ _______.
____ ______ ________ ________ _______ __________ ________ ________ _______ _________ _____.
_________ _____ _______ ______ _____.
_________ __________ ______ __________ ______ _______ _____ ______ __________ ______ _______ ___.
___ _____ _____ ______ __________ _______ ___.
Skip in 10
We are asked to express [ \frac{x-1}{x^3 - x^2 - 2x} ] as a sum of partial fractions. First, factor the denominator: [ x^3 - x^2 - 2x = x(x^2 - x - 2) = x(x-2)(x+1) ] So we have: [ \frac{x-1}{x(x-2)(x+1)} ] Let us express it as: [ \frac{x-1}{x(x-2)(x+1)} = \frac{A}{x} + \frac{B}{x-2} + \frac{C}{x+1} ] Multiply through by (x(x-2)(x+1)) to get: [ x-1 = A(x-2)(x+1) + B(x)(x+1) + C(x)(x-2) ] Now expand each term: 1. (A(x-2)(x+1) = A(x^2 - x - 2)) 2. (B x(x+1) = B(x^2 + x)) 3. (C x(x-2) = C(x^2 - 2x)) Combine terms: [ x-1 = (A + B + C)x^2 + (-A + B - 2C)x +
___ _________ ________ ________ ______ ________ _____.____ ____ ______ _______ _________ ________ _______ ____.
________ _____ __________ ____ ____ ________ ______ __________ _________ ____ _____ _____.
_______ _____ _________ _________ ______ _________ __________ _____ ______ ______ ______ ________.
___ _____ ______ ______ ________ _____ ______ ______ _______ ________ ______ _______.
_____ ________ ____ _____ ______ ____ ____ _________ _______.
__________ _________ _________ ___ ________ ___ ______.
___ _______ ________ __________ ________ ______.
___ ____ _______ _________ _____ ____ __________ ________.
________ __________ ______ ___ ______ ____.
__________ ____ _____ _______ ____.
_______ _________ ______ ___ _________.
___ __________ ______ _________ _________.
_____ ___ ____ _________ ___ _________ _______ ______.
__________ __________ ____ _________ ____ ________ ______ ________ ____.
_______ ________ __________ _____ _________ ________ ___ __________ _________.
_______ __________ ____ ______ _______ ________ ____ _____ ________ ______ ______ ______.
__________ ____ _____ ________ ____ _______.
____ ______ ________ ________ _______ __________ ________ ________ _______ _________ _____.
_________ _____ _______ ______ _____.
_________ __________ ______ __________ ______ _______ _____ ______ __________ ______ _______ ___.
___ _____ _____ ______ __________ _______ ___.
IGNOU ACADEMY
Your IGNOU journey, made easier.
- Solved Assignments
- Study Notes
- Guess Papers
- Question Papers
Continue Reading — It's Free
Sign in with Google to unlock more of this answer.
✓ Free access
✓ Unlock up to 60% of the answer
✓ No payment required
✓ Unlock up to 60% of the answer
✓ No payment required
Quick Google sign-in. No separate registration form.
Related Questions
defines a binary operation on
, the set of rational numbers.
Find the domain of the function f given by .
The greatest interger function is continuous on .
Find the length of the cycloid and show that the line
divides it in the ratio 1 : 3.
If , then show that
. Hence using Leibniz's formula, find the value of (1 - x2)yn+2 - (2n + 1)xyn+1.
The set of real numbers with the usual addition (+) and usual multiplication
is given. Define (*) on
as:
Is () associative in ? Is
distributive over (*) in
? Check.
. Which of the following statements are true or false? Give reasons for your answer in the form of a short proof or a counter-example, whichever is appropriate.