Problem 3 Answer the following questions and show all of your work. State the general form of the partial fraction decomposition for 22 ++1 (r2 + 3x + 4)(r2 + 4a + 3)2 I. Do not solve for the constants. II. Consider the line 2z + 3y = 4 in the ry-plane. A. Find a set of parametric equations that traces out this line. Write your answer in the space provided below. 2(t) = and y(t) = Find a function f(8) so the polar equation r = f(8) represents this line. Write your answer in the space provided below. B. f(8) = III. If f(r) = ax(r+ 2)* and it is known that ak diverges, state the largest possible interval of convergence for the power series f(z).

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.CR: Chapter Review
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P3) Answer the following questions and show all of your work.

I. State the general form of the partial fraction decomposition for...

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Problem 3
Answer the following questions and show all of your work.
State the general form of the partial fraction decomposition for
22 ++1
(r2 + 3x + 4)(r2 + 4a + 3)2
I.
Do not solve for the constants.
II.
Consider the line 2z + 3y = 4 in the ry-plane.
A.
Find a set of parametric equations that traces out this line. Write your answer in the space provided
below.
2(t) =
and y(t) =
Find a function f(8) so the polar equation r = f(8) represents this line. Write your answer in the
space provided below.
B.
f(8) =
III.
If f(r) = ax(r+ 2)* and it is known that ak diverges, state the largest possible interval of
convergence for the power series f(z).
Transcribed Image Text:Problem 3 Answer the following questions and show all of your work. State the general form of the partial fraction decomposition for 22 ++1 (r2 + 3x + 4)(r2 + 4a + 3)2 I. Do not solve for the constants. II. Consider the line 2z + 3y = 4 in the ry-plane. A. Find a set of parametric equations that traces out this line. Write your answer in the space provided below. 2(t) = and y(t) = Find a function f(8) so the polar equation r = f(8) represents this line. Write your answer in the space provided below. B. f(8) = III. If f(r) = ax(r+ 2)* and it is known that ak diverges, state the largest possible interval of convergence for the power series f(z).
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