(a) U={p (b) U={p (c) U = {p R2[x] | p(1) = p(−1) = 0}, N = {x²-1}. R2[x] | p(1) = p'(0)}, = {1-x2, x}. R2[x] | p(1) = p(2) = p(3)}, N = {2}. (d) U = {p (e) U={p R2[x] | p'(1) = p"(1)}, N = {1, 2}. R2[x] | p(1) = p(-1)}, N = {1+x2}.
(a) U={p (b) U={p (c) U = {p R2[x] | p(1) = p(−1) = 0}, N = {x²-1}. R2[x] | p(1) = p'(0)}, = {1-x2, x}. R2[x] | p(1) = p(2) = p(3)}, N = {2}. (d) U = {p (e) U={p R2[x] | p'(1) = p"(1)}, N = {1, 2}. R2[x] | p(1) = p(-1)}, N = {1+x2}.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 1YT
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Question
For which of the following pairs is the set Ω not a basis for the
![(a) U={p
(b) U={p
(c) U = {p
R2[x] | p(1) = p(−1) = 0}, N = {x²-1}.
R2[x] | p(1) = p'(0)}, = {1-x2, x}.
R2[x] | p(1) = p(2) = p(3)}, N = {2}.
(d) U = {p
(e) U={p
R2[x] | p'(1) = p"(1)}, N = {1, 2}.
R2[x] | p(1) = p(-1)}, N = {1+x2}.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77fb797c-5d11-44b7-8dd5-213a8dfb9828%2Fb54ec0ac-315b-4a35-9f89-aa7ae24eba9a%2Fu3xj2m_processed.png&w=3840&q=75)
Transcribed Image Text:(a) U={p
(b) U={p
(c) U = {p
R2[x] | p(1) = p(−1) = 0}, N = {x²-1}.
R2[x] | p(1) = p'(0)}, = {1-x2, x}.
R2[x] | p(1) = p(2) = p(3)}, N = {2}.
(d) U = {p
(e) U={p
R2[x] | p'(1) = p"(1)}, N = {1, 2}.
R2[x] | p(1) = p(-1)}, N = {1+x2}.
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