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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13b8e596-45c0-434d-ab2b-ea5ebc953e71%2Fecf878df-776d-43c1-a76d-a967598e0465%2Fk3yespn_processed.jpeg&w=3840&q=75)
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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