Denote the second Fourier cosine coefficient on the interval [-L, L] by L A2 f(x) cos -dx. -L Show that for the function f(x)= eL¤ 2L3 sinh(L?). A2 = L4 + 47²

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 27PT: Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and...
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Denote the second Fourier cosine coefficient on the interval [-L, L] by
L
A2
f(x) cos
-dx.
-L
Show that for the function f(x)= eL¤
2L3
sinh(L?).
A2 =
L4 + 47²
Transcribed Image Text:Denote the second Fourier cosine coefficient on the interval [-L, L] by L A2 f(x) cos -dx. -L Show that for the function f(x)= eL¤ 2L3 sinh(L?). A2 = L4 + 47²
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