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etermine whether the functions y, and y, are linearly dependent on the interval (0,1). y, =2 cos t-1, y2= 12 cos 2t Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. Since y, = O2 on (0,1), the functions are linearly independent on (0,1). %3D (Simplify your answer.) O B. Since y, = Dy, on (0.1), the functions are linearly dependent on (0,1). (Simplify your answer.) O C. Since Y1 is not a constant multiple of y, on (0.1), the functions are linearly dependent on (0,1). O D. Since y, is not a constant multiple of y, on (0.1), the functions are linearly independent on (0,1).

etermine whether the functions y, and y, are linearly dependent on the interval (0,1). y, =2 cos t-1, y2= 12 cos 2t Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. Since y, = O2 on (0,1), the functions are linearly independent on (0,1). %3D (Simplify your answer.) O B. Since y, = Dy, on (0.1), the functions are linearly dependent on (0,1). (Simplify your answer.) O C. Since Y1 is not a constant multiple of y, on (0.1), the functions are linearly dependent on (0,1). O D. Since y, is not a constant multiple of y, on (0.1), the functions are linearly independent on (0,1).

Algebra & Trigonometry with Analytic Geometry
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 y, are linearly dependent on the interval (0,1). y, =2 cos t-1, y2= 12 cos 2t Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. Since y, = (y, on (0,1), the functions are linearly independent on (0.1). (Simplify your answer.) O B. Since y, = Dy, on (0,1), the functions are linearly dependent on (0,1) (Simplify your answer.) O C. Since y, is not a constant multiple of y, on (0.1), the functions are linearly dependent on (0,1). D. Since is not a constant multiple of y, on (0,1), the functions are linearly independent on (0,1).
Transcribed Image Text:Determine whether the functions y, and y, are linearly dependent on the interval (0,1). y, =2 cos t-1, y2= 12 cos 2t Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. Since y, = (y, on (0,1), the functions are linearly independent on (0.1). (Simplify your answer.) O B. Since y, = Dy, on (0,1), the functions are linearly dependent on (0,1) (Simplify your answer.) O C. Since y, is not a constant multiple of y, on (0.1), the functions are linearly dependent on (0,1). D. Since is not a constant multiple of y, on (0,1), the functions are linearly independent on (0,1).
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