2π-4) Consider the inner product (p,q) = √2 p(x)q(x) dx on C[0,2] – the spaceof functions continuous on the interval [0, 27]. Use Mathematica to answerthe following problems.a) Construct an orthonormal set from the set {1, sin(x), sin(2x), . . ., sin(10x)}.b) What do the coefficients tell you about the set you started with?c) Use the orthonormal set to find an approximation to the function( 0, 0 < x < πf(x) = {1,d) Plot the function of along with the approximation from c.).

(a):Step 1: (b):Step 2: (c):Step 3: (d):Step 4:

Answered: 2π - 4) Consider the inner product…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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