Q10: Let f(x), g(x) € Z&(x) such that f(x)=1+2x+3x² and g(x) = 2 + x² + 2x³. Then a) deg((x)g(x)) < deg(f(x)) + deg((x)). b) dog (f(x)(x)) = 0. denif(x)(x)) = dealf(x)) + deg(g(x)). d) deg(x)g(x))> deg(f(x)) + deg(g(x)). Q11: Let V be a finite dimension vector space over a field F and S₁, S; are subsets of V such that S, in proper subset of S₂ Then a) If S, be a basis for V then S, is a basis for V. b) If S, be a basis for V then Sy is a basis for V. c) IS, generate V then Sy generate V. d) If S, generate V then Si generate V. Q12: Let X = (a,b,c) and R = 1x U ((a,b)). Then a) R is reflexive and symmetric relation. b) R is symmetric and anti symmetric. c) Partial order relation. d) Totally order relation. 13:11 ACB then: a) P(B-A)>P(B) = P(A) b) P(B-A) P(B) = P(A) c) P(B-A)SP(A)-(B) d) P(B-A)s P(B) = P(A) 5.55
Q10: Let f(x), g(x) € Z&(x) such that f(x)=1+2x+3x² and g(x) = 2 + x² + 2x³. Then a) deg((x)g(x)) < deg(f(x)) + deg((x)). b) dog (f(x)(x)) = 0. denif(x)(x)) = dealf(x)) + deg(g(x)). d) deg(x)g(x))> deg(f(x)) + deg(g(x)). Q11: Let V be a finite dimension vector space over a field F and S₁, S; are subsets of V such that S, in proper subset of S₂ Then a) If S, be a basis for V then S, is a basis for V. b) If S, be a basis for V then Sy is a basis for V. c) IS, generate V then Sy generate V. d) If S, generate V then Si generate V. Q12: Let X = (a,b,c) and R = 1x U ((a,b)). Then a) R is reflexive and symmetric relation. b) R is symmetric and anti symmetric. c) Partial order relation. d) Totally order relation. 13:11 ACB then: a) P(B-A)>P(B) = P(A) b) P(B-A) P(B) = P(A) c) P(B-A)SP(A)-(B) d) P(B-A)s P(B) = P(A) 5.55
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Q10: Let f(x), g(x) € Z&(x) such that f(x)=1+2x+3x² and g(x) = 2 + x² + 2x³. Then
a) deg((x)g(x)) < deg(f(x)) + deg((x)).
b) dog (f(x)(x)) = 0.
denif(x)(x)) = dealf(x)) + deg(g(x)).
d) deg(x)g(x))> deg(f(x)) + deg(g(x)).
Q11: Let V be a finite dimension vector space over a field F and S₁, S; are subsets of V such that S, in
proper subset of S₂ Then
a) If S, be a basis for V then S, is a basis for V.
b) If S, be a basis for V then Sy is a basis for V.
c) IS, generate V then Sy generate V.
d) If S, generate V then Si generate V.
Q12: Let X = (a,b,c) and R = 1x U ((a,b)). Then
a) R is reflexive and symmetric relation.
b) R is symmetric and anti symmetric.
c) Partial order relation.
d) Totally order relation.
13:11 ACB then:
a) P(B-A)>P(B) = P(A)
b) P(B-A) P(B) = P(A)
c) P(B-A)SP(A)-(B)
d) P(B-A)s P(B) = P(A)
5.55
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