1. Express into parital fraction. Hence evaluate y2 -4 *2-4

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 51PS
icon
Related questions
Topic Video
Question

Solve Q1 showing clearly all steps involved

1. Express
into parital fraction. Hence evaluate dx
*2-4
x2 -4
(1– 2.x)(1+x*)' ©Xpress f(x} in partial fractions. Find
f (x)dxleaving your answer in terms of natural logarthms.
2. Given that f(x)
1/4
a.
b. The set of real values of x for which the expansion of f(x) is a series in ascending powers of x is
valid.
2-4x
3. Given that f(x)
express f (x) in partial fractions
* (x2+2)
x2+1
JA. Given that f(x):
express f(x) in partial fractions. Hence find f f(x)dx
x2 (1-x)'
5. Given that g(x) = x+x2 + 2x + 2, f(x) :
x+2
express f(x) in partial fractions.
g(x)'
1
6. Express f(x), where f(x)
in partial fractions. Hence
2-x-x2
a. Evaluate f (x)dx, giving your answer to three significant figures.
b. Expand f(x) as a series of ascending powers of- up to and including the term in () giving the
set of values of x for which the expansion is valid.
4
x2 +3
x(x2+1)'
7. Express in partial fractions
hence evaluate S
x2 +3
dx, leaving your answer in terms of
natural logarithms.
x (x2 +1)
4x+2
8. Express
in partial fractions.
x2+4x+4
Transcribed Image Text:1. Express into parital fraction. Hence evaluate dx *2-4 x2 -4 (1– 2.x)(1+x*)' ©Xpress f(x} in partial fractions. Find f (x)dxleaving your answer in terms of natural logarthms. 2. Given that f(x) 1/4 a. b. The set of real values of x for which the expansion of f(x) is a series in ascending powers of x is valid. 2-4x 3. Given that f(x) express f (x) in partial fractions * (x2+2) x2+1 JA. Given that f(x): express f(x) in partial fractions. Hence find f f(x)dx x2 (1-x)' 5. Given that g(x) = x+x2 + 2x + 2, f(x) : x+2 express f(x) in partial fractions. g(x)' 1 6. Express f(x), where f(x) in partial fractions. Hence 2-x-x2 a. Evaluate f (x)dx, giving your answer to three significant figures. b. Expand f(x) as a series of ascending powers of- up to and including the term in () giving the set of values of x for which the expansion is valid. 4 x2 +3 x(x2+1)' 7. Express in partial fractions hence evaluate S x2 +3 dx, leaving your answer in terms of natural logarithms. x (x2 +1) 4x+2 8. Express in partial fractions. x2+4x+4
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning