B = {sin(t), sin(2t), sin(3t), sin(4t)} is an orthogonal set in C( [−â, π] ) with 1 (f,9) = = [** ƒ(x)9(x) dx π -π and is therefore a basis for its span, W. Let h(t): = t |t| and calculate proj sin th: proj sin 24h: proj sin 3th: proj sin 4th: Graph h and (proj sin th + projsin 2th + proj sin 3th + proj sin 4th) on the same set of axes

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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B = {sin(t), sin(2t), sin(3t), sin(4t)} is an orthogonal set in C'( [−À, π] ) with
π
1
(f,g) = = = = [** f(x)g(x) dx
ㅠ
π
and is therefore a basis for its span, W. Let h(t)
=
|t|
and calculate
proj sin th:
proj sin 2th:
proj sin 3th:
proj sin 4th:
Graph h and (proj sin th + projsin 2th + proj sin 3th + proj sin 4th) on the same set of axes.
Transcribed Image Text:B = {sin(t), sin(2t), sin(3t), sin(4t)} is an orthogonal set in C'( [−À, π] ) with π 1 (f,g) = = = = [** f(x)g(x) dx ㅠ π and is therefore a basis for its span, W. Let h(t) = |t| and calculate proj sin th: proj sin 2th: proj sin 3th: proj sin 4th: Graph h and (proj sin th + projsin 2th + proj sin 3th + proj sin 4th) on the same set of axes.
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