Extracted text: Consider the following functions. f,(x) = 6, f,(x) = cos°(x), f3(x) = sin?(x) g(x) = c,f,(x) + czf2(x) + czf3(x) = COS %D Solve for c,, c,, and c, so that g(x) = 0 on the interval (-0, o). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {C,, C2, C3} = { 0,0,0 } Determine whether f,, f,, fz are linearly independent on the interval (-0, o). O linearly dependent linearly independent Need Help? Read It Watch It