Determine which of the following functions are in the linear space spanned by the set {1, cos 2x, sin 2x}. 1. cos? x 2. cos x(cos x + sin x) 3. 1+ sin? x 4. 1+ cos x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Hi can you please do 3, & 4 . I have already 1& 2 . Thank you
Determine which of the following functions are in the linear space spanned by the set
{1, cos 2x, sin 2x}.
1. cos? x
2. cos x(cos x + sin x)
3. 1+ sin? x
4. 1+ cos x
Transcribed Image Text:Determine which of the following functions are in the linear space spanned by the set {1, cos 2x, sin 2x}. 1. cos? x 2. cos x(cos x + sin x) 3. 1+ sin? x 4. 1+ cos x
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