giannimaraj711 giannimaraj711
  • 02-05-2019
  • Mathematics
contestada

Find the partial fraction decomposition of

Find the partial fraction decomposition of class=

Respuesta :

LammettHash
LammettHash LammettHash
  • 02-05-2019

[tex]\dfrac1{x(x-1)}=\dfrac ax+\dfrac b{x-1}[/tex]

[tex]1=a(x-1)+bx[/tex]

If [tex]x=0[/tex], then

[tex]1=-a\implies a=-1[/tex]

If [tex]x=1[/tex], then

[tex]1=b[/tex]

So we have

[tex]\dfrac1{x(x-1)}=\dfrac1{x-1}-\dfrac1x[/tex]

Answer Link

Otras preguntas

One goal of scientists is to assign every organism a universally accepted name according to the system known as A. traditional classification. B. the three dom
Houses with carpet are much quieter than houses with tile or hardwood floors because of sound wave A) absorption. B) diffraction. C) reflection. Eliminate D)
how did the califonia gold rush lead to the expansion of cities?
Read the following sentence. The cars passing by are filled with commuters. Identify the present participle in the sentence. A. by B. are C. passing D. filled
How much simple interest rate would earn if had $10,000 and you were being paid 5% for 15 months?
How were Rockefeller and Carnegie similar?
What is the purpose of the introduction in an essay? A. To highlight the most important concepts B. To focus on current statistics C. To explain the main idea
How did India benefit from Western technology?
why do people have to vote for our presidents
Who is Naomi Koatla