Determine which of the following pairs of functions are linearly independent. dependent 1. f(x) = x³ g(x) = |x|³ independent 2. f(0) = cos(30) dependent ♦ 3. f(t) = 3t² + 21t independent 4. f(x) = ³x " " 9 g(0) = 12 cos³ (0) — 9 cos(0) g(t) = 31²-21t g(x) = e³(x-3)

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A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Solution of given question is followed by:

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