Find the partial fraction decomposition for the following rational expression. 2y³ + 19y2 + 48y +63 (y + 5)²(y + 1)² B = Answer: A = A y + 5 Using the partial fraction decomposition above, evaluate the integral Answer: + B y + 1 C D + (y + 5)² (y + 1)² C = + 2y³ + 19y2 + 48y +63 (y + 5)²(y + 1)² dy. and D =

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter10: Systems Of Equations And Inequalities
Section10.CR: Chapter Review
Problem 7CC
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Question
Find the partial fraction decomposition for the following rational expression.
2y³ +19y2 + 48y +63
(y + 5)²(y + 1)²
Answer: A =
1
Answer
B =
A
B
+
y+5 y+1
Using the partial fraction decomposition above, evaluate the integral
[20⁰
2y³ + 19y2 + 48y +63
(y + 5)²(y + 1)²
C
D
+
(y + 5)² (y + 1)²
C=
+
dy.
and D=
Transcribed Image Text:Find the partial fraction decomposition for the following rational expression. 2y³ +19y2 + 48y +63 (y + 5)²(y + 1)² Answer: A = 1 Answer B = A B + y+5 y+1 Using the partial fraction decomposition above, evaluate the integral [20⁰ 2y³ + 19y2 + 48y +63 (y + 5)²(y + 1)² C D + (y + 5)² (y + 1)² C= + dy. and D=
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