E-12. Show that the two functions fi(r) = e cose and f₂(r) = (2-r)e-1/2 cos are orthogonal over all space (in other words, over all possible values of r, 0, and 4).

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E-12. Show that the two functions
fi(r) = e cos and f₂(r) = (2-r)e-r/2 cos 0
are orthogonal over all space (in other words, over all possible values of r, 0, and 4).
Transcribed Image Text:E-12. Show that the two functions fi(r) = e cos and f₂(r) = (2-r)e-r/2 cos 0 are orthogonal over all space (in other words, over all possible values of r, 0, and 4).
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