Determine whether the functions y, and y, are linearly dependent on the interval (0,1). y =1-2 sin t, y2 = 12 cos 2t Select the correct choice below and, if necessary, fill in the answer boX within your choice. CA Since y= ]y on (0,1), the functions are linearly dependent on (0,1). %3D (Simplify your answer ) OB. Since y= ( ]y2 on (0, 1), the functions are linearly independent on (0,1). (Simplify your answer) OC. Since y, is not a constant multiple of y, on (0 1). the functions are linearly independent on (0,1) OD. Since y, is not a constant multiple of y, on (0,1), the functions are linearly dependent on (0, 1). 73°F Sunny
Determine whether the functions y, and y, are linearly dependent on the interval (0,1). y =1-2 sin t, y2 = 12 cos 2t Select the correct choice below and, if necessary, fill in the answer boX within your choice. CA Since y= ]y on (0,1), the functions are linearly dependent on (0,1). %3D (Simplify your answer ) OB. Since y= ( ]y2 on (0, 1), the functions are linearly independent on (0,1). (Simplify your answer) OC. Since y, is not a constant multiple of y, on (0 1). the functions are linearly independent on (0,1) OD. Since y, is not a constant multiple of y, on (0,1), the functions are linearly dependent on (0, 1). 73°F Sunny
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Determine whether the functions y, and y, are linearly dependent on the interval (0,1).
V=1-2 sin t, y2 = 12 cos 2t
Select the correct choice below and, if necessary, fill in the answer boX within your choice.
CA Since y,= ]y on (0,1), the functions are linearly dependent on (0,1).
(Simplify your answer ).
OB. Since y = ( )y, on (0,1), the functions are linearly independent on (0,1).
(Simplify your answer)
OC. Since y, is not a constant multiple of y, on (0 1). the functions are linearly independent on (0,1)
OD. Since y, is not a constant multiple of y, on (0,1), the functions are linearly dependent on (0, 1).
73°F
Sunny](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f07b913-0c24-4a1a-9522-0f0464166802%2F84fff510-bfae-42a4-9498-f6553e667d1e%2Fydblq5c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Determine whether the functions y, and y, are linearly dependent on the interval (0,1).
V=1-2 sin t, y2 = 12 cos 2t
Select the correct choice below and, if necessary, fill in the answer boX within your choice.
CA Since y,= ]y on (0,1), the functions are linearly dependent on (0,1).
(Simplify your answer ).
OB. Since y = ( )y, on (0,1), the functions are linearly independent on (0,1).
(Simplify your answer)
OC. Since y, is not a constant multiple of y, on (0 1). the functions are linearly independent on (0,1)
OD. Since y, is not a constant multiple of y, on (0,1), the functions are linearly dependent on (0, 1).
73°F
Sunny
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