Consider the following functions. f,(x) = x, f2(x) = x – 1, f3(x) = g(x) = c,f,(x) + cf,(x) + czf3(x) x + 6 - Solve for C1, C2' and C3 so that g(x) = 0 on the interval (-o, 0). If a nontrivial...

Consider the following functions.<br>f,(x) = x, f2(x) = x – 1, f3(x) =<br>g(x) = c,f,(x) + cf,(x) + czf3(x)<br>x + 6<br>-<br>Solve for<br>C1, C2'<br>and<br>C3<br>so that g(x) = 0 on the interval (-o, 0). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.)<br>{C,, Cz, Cz} = { 5, 6, 1<br>}<br>Determine whether f,, f,, f, are linearly independent on the interval (-∞, ∞).<br>O linearly dependent<br>O linearly independent<br>Need Help?<br>Read It<br>Watch It<br>

Extracted text: Consider the following functions. f,(x) = x, f2(x) = x – 1, f3(x) = g(x) = c,f,(x) + cf,(x) + czf3(x) x + 6 - Solve for C1, C2' and C3 so that g(x) = 0 on the interval (-o, 0). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {C,, Cz, Cz} = { 5, 6, 1 } Determine whether f,, f,, f, are linearly independent on the interval (-∞, ∞). O linearly dependent O linearly independent Need Help? Read It Watch It

Jun 05, 2022

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Consider the following functions. f,(x) = x, f2(x) = x – 1, f3(x) = g(x) = c,f,(x) + cf,(x) + czf3(x) x + 6 - Solve for C1, C2' and C3 so that g(x) = 0 on the interval (-o, 0). If a nontrivial...

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