10. Given k = and n and m are positive integers. Prove the following orthogonality conditions: a) S, cos(nkx) cos(mkx) dx == 8nm %3D b) sin(nkx) sin(mkx) dx =- nm c) S cos(nkx) sin(mkx) dx = 0 In this problem, make sure you show sufficient work that constitutes a proof, which is different than looking up tables or having a webserver give the answer.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
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10. Given k
and n and m are positive integers. Prove the following orthogonality conditions:
b) S, sin(nkx) sin(mkx) dx =-8m
Só cos(nkx) cos(mkx) dx =86,m
c) S cos(nkx) sin(mkx) dx = 0
In this problem, make sure you show sufficient work that constitutes a proof, which is different than looking
up tables or having a webserver give the answer.
Transcribed Image Text:10. Given k and n and m are positive integers. Prove the following orthogonality conditions: b) S, sin(nkx) sin(mkx) dx =-8m Só cos(nkx) cos(mkx) dx =86,m c) S cos(nkx) sin(mkx) dx = 0 In this problem, make sure you show sufficient work that constitutes a proof, which is different than looking up tables or having a webserver give the answer.
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