3. Given the functions f¡ (x) = x and f2(x) = sin2x on the interval(a) Find the norm of f1 on2(b) Are fi and f2 orthogonal on2Use the inner product to obtain your answer; show all work.

Answered: Image /qna-images/answer/96e2e9a6-866d-41f7-ab8c-ce1b0f2d8135.jpg

Answered: 3. Given the functions f, (x) = x and…

3. Given the functions f, (x) = x and f2(x) = sin2x on the interval - %3D (a) Find the norm of f, on (b) Are fi and f2 orthogonal on 2 ? Use the inner product to obtain your answer; show all work.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.2: Integral Domains And Fields

Problem 17E: If e is the unity in an integral domain D, prove that (e)a=a for all aD. [Type here][Type here]

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3. Given the functions f¡ (x) = x and f2(x) = sin2x on the interval
(a) Find the norm of f1 on
2
(b) Are fi and f2 orthogonal on
2
Use the inner product to obtain your answer; show all work.

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