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Solve the question number 8 and 10 with detailed steps In Problems 7-12, show that the given set of functions is orthog- onal on the

Solve the question number 8 and 10 with detailed steps

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In Problems 7-12, show that the given set of functions is orthog- onal on the indicated interval. Find the norm of each function in the set. 7. { sin x, sin 3x, sin 5x, ...}; [0, 7/2] 8. {cos x, cos 3x, cos 5x, ... }; [0, 7/2] 9. { sinnx}, n = 1, 2, 3, ...; [0, Tr ] n TT 10. sin , n = 1, 2, 3, ...; [0, p] p

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