Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify yourdecision.{ex, e 2x, e 6x} on (– ∞0,00)Select the correct choice below and, if necessary, fill in the answer box to complete your choice.6xand2x+ C2 е= 0 has the solution c, =+eO A. The functions are linearly dependent because c, eC3 = - 1.(Type integers or simplified fractions.)6x2x+ C2 e+ C3= 0 has no solutions for constants c,, C2, andeB. The functions are linearly independent because c, eC, that are not all zero.

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Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify your decision. {e*, е 2x, е 6х} оn (- со,00) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The functions are linearly dependent because c1 2х 6x + C3 = 0 has the solution c, =, c2 =, and e + C2 e C3 = - 1. (Type integers or simplified fractions.) 2x e^+ C2 e O B. The functions are linearly independent because c1 + C3 6x = 0 has no solutions for constants C1, C2, and e Cz that are not all zero.

Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify your decision. {e*, е 2x, е 6х} оn (- со,00) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The functions are linearly dependent because c1 2х 6x + C3 = 0 has the solution c, =, c2 =, and e + C2 e C3 = - 1. (Type integers or simplified fractions.) 2x e^+ C2 e O B. The functions are linearly independent because c1 + C3 6x = 0 has no solutions for constants C1, C2, and e Cz that are not all zero.

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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