(MULTIPLE CHOICE) Determine which of the following set of functions is(are) linearly depen- dent on (-oo, 0). (A) fi(x) = x, f2(x) = x², f3(x) = 4x – 3x2 (B) fi(x) = 5, f2(x) = cos? r, f2(x) = x-1, (D) fi(x) = e, f2(x) = e2", f3(x) = e- f3(x) = sin? r %3D %3D (C) fi(x) = x, f3(x) = x +3 %3D (E) fi(x) = e, f2(x) = e, f3(x) = sinh a %3D

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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(MULTIPLE CHOICE) Determine which of the following set of functions is(are) linearly depen-
dent on (-0o, 0).
(A) fi(x) = x, f2(x) = x²,
f3(x) = 4x – 3x?
(B) fi(x) = 5, f2(x) = cos? r,
f3(x) = sin? r
%3D
%3D
(C) fi(x) = x,
f2(x)
= x - 1,
f3(x) = x +3
(D) fi(x) = e, f2(x) = e2", f3(x) = e-
(E) fi(x) = e, f2(x) = e, f3(x) = sinh a
%3D
Transcribed Image Text:(MULTIPLE CHOICE) Determine which of the following set of functions is(are) linearly depen- dent on (-0o, 0). (A) fi(x) = x, f2(x) = x², f3(x) = 4x – 3x? (B) fi(x) = 5, f2(x) = cos? r, f3(x) = sin? r %3D %3D (C) fi(x) = x, f2(x) = x - 1, f3(x) = x +3 (D) fi(x) = e, f2(x) = e2", f3(x) = e- (E) fi(x) = e, f2(x) = e, f3(x) = sinh a %3D
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