Are the functions f, 9, and h given below linearly independent? f(x) = e5z - cos(9x), g(x) = e5z + cos(9x), h(x) = cos(9x). If they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justify your answer. (ešz – cos(9a)) + (ebz + cos(9x)) + (cos(9x)) = 0.
Are the functions f, 9, and h given below linearly independent? f(x) = e5z - cos(9x), g(x) = e5z + cos(9x), h(x) = cos(9x). If they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justify your answer. (ešz – cos(9a)) + (ebz + cos(9x)) + (cos(9x)) = 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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