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Answer: hello your question is poorly written attached below is the complete question
answer:
since y1 = 1/2 y2 on ( 0,1 ) the function are linearly dependent on ( 0,1 ) ( B )
Step-by-step explanation:
First step : Determine if y1 and y2 are linearly dependent
interval = ( 0,1 )
Functions: y1 = sin t cost t , y2 = 4 sin t
We can verify if these functions are linearly independent or linearly dependent by using the determinate form
attached below is the detailed solution
From the attached solution we can conclude that
y1, y2 is linearly dependent on ( 0,1 )
hence ; since y1 = 1/2 y2 on ( 0,1 ) the function are linearly dependent on ( 0,1 )
