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c) f(x) = e sinx, g(x) = e cos x d) f(x) = 3 sin x + 2 cos x, g(x) = -2 sin x + 3 cos x

c) f(x) = e sinx, g(x) = e cos x d) f(x) = 3 sin x + 2 cos x, g(x) = -2 sin x + 3 cos x

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.5: Solution Of Cubic And Quartic Equations By Formulas (optional)
Problem 29E
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I only need help with parts c and d. Thank you. 

4. Determine whether the pairs of functions are linearly independent or linearly dependent on the real line. a) f(x) = π, g(x) = cos²(x) + sin²(x) b) f(x) = x¹, g(x) = x³|x| c) f(x) = e sinx, g(x) = e cos x d) f(x) = 3 sin x + 2 cos x, g(x) = -2 sin x + 3 cos x
Transcribed Image Text:4. Determine whether the pairs of functions are linearly independent or linearly dependent on the real line. a) f(x) = π, g(x) = cos²(x) + sin²(x) b) f(x) = x¹, g(x) = x³|x| c) f(x) = e sinx, g(x) = e cos x d) f(x) = 3 sin x + 2 cos x, g(x) = -2 sin x + 3 cos x
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