Determine whether the functions y, and y₂ are linearly dependent on the interval (0,1). y₁ = sint cost, y₂ = 5 sin 2t Select the correct choice below and, if necessary, fill in the answer box within your choice. A. Since y₁ = (y₂ on (0,1), the functions are linearly independent on (0,1). (Simplify your answer.) B. 1 10 Since y₁ = (Simplify your answer.) C. Since y₁ is not a constant multiple of y₂ on (0,1), the functions are linearly dependent on (0,1). D. Since y₁ is not a constant multiple of y₂ on (0,1), the functions are linearly independent on (0,1). y₂ on (0,1), the functions are linearly dependent on (0,1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Determine whether the functions y, and y₂ are linearly dependent on the interval (0,1).
y₁ = sint cost, y₂ = 5 sin 2t
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. Since y₁ = (y₂ on (0,1), the functions are linearly independent on (0,1).
(Simplify your answer.)
B.
1
10
Since y₁ =
(Simplify your answer.)
C. Since y₁ is not a constant multiple of y₂ on (0,1), the functions are linearly dependent on (0,1).
D. Since y₁ is not a constant multiple of y₂ on (0,1), the functions are linearly independent on (0,1).
y₂ on (0,1), the functions are linearly dependent on (0,1).
Transcribed Image Text:Determine whether the functions y, and y₂ are linearly dependent on the interval (0,1). y₁ = sint cost, y₂ = 5 sin 2t Select the correct choice below and, if necessary, fill in the answer box within your choice. A. Since y₁ = (y₂ on (0,1), the functions are linearly independent on (0,1). (Simplify your answer.) B. 1 10 Since y₁ = (Simplify your answer.) C. Since y₁ is not a constant multiple of y₂ on (0,1), the functions are linearly dependent on (0,1). D. Since y₁ is not a constant multiple of y₂ on (0,1), the functions are linearly independent on (0,1). y₂ on (0,1), the functions are linearly dependent on (0,1).
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