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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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Question

B = {sin(t), sin(2t), sin(3t), sin(4t)} is an orthogonal set in C( [-T, π]) with
1
(f,g) = = [*"* f(x)9(x) dx
ㅠ
-π
and is therefore a basis for its span, W. Let h(t)
=
t
|t|
and calculate
proj sin th:
proj sin 2th:
proj sin 3th:
proj sin 4th:
Graph hand (projsin th + projsin 2th + projsin 3th + proj sin 4th) on the same set of axes.

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