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
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
![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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ee8edbd-6cd1-45a3-b098-b12c4b636293%2Fcce3bf30-cd0f-412a-8194-38d725b36fcd%2F7fmrosb_processed.jpeg&w=3840&q=75)
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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