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Which of the following sets of functions are linearly independent on the interval (??,??)? (i) ?f1(x) ?=? x,    f2(x) ?=? 6x,    f3(x) ?=?...

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Basic Math

Which of the following sets of functions are linearlyindependent on the interval (??,??)?
(i) ?f1(x) ?=?x,    f2(x)?=?6x,    f3(x)?=? x2 + 3
(ii) ?f1(x) ?=?2e2x,    f2(x)?=?4e4x,    f3(x)?=? 8e8x
(iii) ?f1(x) ?=?4sin2x,    f2(x)?=?10cos?2x,    f3(x)?=? x

(A) (ii) only (B) (iii) only (C) (i) and (iii) only (D) (ii) and(iii) only (E) all of them (F) (i) and (ii) only (G) (i) only (H)none of them

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