Explanation Given: The given rational expression is 1 x 2 − c 2 and ( c ≠ 0 ) . Calculation: The partial fraction of 1 x 2 − c 2 = 1 ( x − c ) ( x + c ) This can be written as, 1 ( x − c ) ( x + c ) = A x − c + B x + c …… (1) Multiply both sides by ( x − c ) ( x + c ) , 1 = A ( x + c ) + B ( x − c ) 1 = A x + A c + B x − B c 1 = ( A + B

7th Edition

ISBN: 9780137393879

Author: Blitzer

Publisher: PEARSON CO

See similar textbooks

Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, c…

Videos

Question

Chapter 8.3, Problem 47E

To determine

To calculate: The partial fraction decomposition of the rational expression 1x2−c2 and (c≠0).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.3, Problem 46E

Chapter 8.3, Problem 48E

Students have asked these similar questions

x/x-2 + 3/x-4

Q1: A: Let M and N be two subspace of finite dimension linear space X, show that if M = N then dim M = dim N but the converse need not to be true. B: Let A and B two balanced subsets of a linear space X, show that whether An B and AUB are balanced sets or nor verly A:LeLM be a subset of a linear space X, show that M is a hyperplane of X iff there exists fe X'/[0] and a EF such that M = {x Ex/f(x) = = a}. B:Show that every two norms on finite dimension linear space are equivalent C: Let f be a linear function from a normed space X in to a normed space Y, show that continuous at x, EX iff for any sequence (x) in X converge to x, then the sequence (f(x)) converge to (f(x)) in Y.

2/26 Delta Math | Schoology X Unit 4: Importance of Education X Speech at the United Nations b x Book Thief Part 7 Summaries x + > CA Materials pdsd.schoology.com/external_tool/3157780380/launch ☆ MC Updates Grades Members BrainPOP Canva for Education DeltaMath Discovery Education FactCite Gale In Context: High Sc. Graw McGraw Hill K-12 SSO Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. Click twice to plot each segment. Click a segment to delete it. 10 9 8 5 сл y Hill Nearpod 3 2 Newsela -10 -9 -8 -7 b -5 -4-3-2 -1 1 23 4 5 b 7 89 10 Scholastic Digital Mana. World Book Online Information Grading periods MP3: 2025-01-25-2025-03- 31, MP4: 2025-04-01-2025- 06-13 ← 2 M -> C % 95 54 # m e 4 7 巴 DELL A t y & * ) 7 8 9 . i L Feb 27 12:19 US + 11

Chapter 8 Solutions

EP ALGEBRA+TRIGONOMETRY

Knowledge Booster

$Algebra$

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.

The partial fraction decomposition of the rational expression 1 x 2 − c 2 and ( c ≠ 0 ) .

Solution Summary: The author explains the partial tion decomposition of the rational expression 1x2-c2.

Concept explainers

Videos

To calculate: The partial fraction decomposition of the rational expression 1x2−c2 and (c≠0).

Want to see the full answer?

Chapter 8 Solutions