In Problems 7 through 12, use the Wronskian to prove that the given functions are linearly independent on the indicated in- terval. 7. f(x) = 1, g(x) = x, h(x) = x²; the real line 8. f(x) = e*, g(x) = e2x , h(x) = e3x; the real line 9. f(x) = e*, g(x) = cos x, h(x) = sin x; the real line 10. f(x) = e*, g(x) = x=2, h(x) = x-2 In x; x > 0 11. f(x) = x, g(x) = xe*, h(x) = x²e*; the real line 12. f(x) = x, g(x) = cos(In x), h(x) = sin(ln x); x >0 %3D %3D %3D

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Q: In Problems 7 through 12, use the Wronskian to prove that the given functions are linearly…

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Q: In Problems 7 through 12, use the Wronskian to prove that the given functions are linearly…

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