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1) Find the inner product (f.j) between the following pairs of functions fands. part a) f and are 2x-penodic with F(x) = sinx and g(x)=x for x = (0,2x). part b) f and Ig are 2x-pensdic with F(x) = ((1+i)x and g(x) = x² for x = (0,2%). part c) f and I are 4x-penodic with f(x) = x and g(x) = e* for x = (-2,2). = (1+i)x for x = (0,2x). part d) f and are 2x-penodic with F(x) = x² and g(x) part e) f and I are 10x-periodic with f(x) = Sin (x³ cos(x)) and g(x) = cos (2x sin(x)) for x = (-5,5).

1) Find the inner product (f.j) between the following pairs of functions fands. part a) f and are 2x-penodic with F(x) = sinx and g(x)=x for x = (0,2x). part b) f and Ig are 2x-pensdic with F(x) = ((1+i)x and g(x) = x² for x = (0,2%). part c) f and I are 4x-penodic with f(x) = x and g(x) = e* for x = (-2,2). = (1+i)x for x = (0,2x). part d) f and are 2x-penodic with F(x) = x² and g(x) part e) f and I are 10x-periodic with f(x) = Sin (x³ cos(x)) and g(x) = cos (2x sin(x)) for x = (-5,5).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1) Find the inner product (f.j) between the following pairs of functions fands. part a) f and are 2x-penodic with F(x) = sinx and g(x)=x for x = (0,2x). part b) f and Ig are 2x-pensdic with F(x) = ((1+i)x and g(x) = x² for x = (0,2%). part c) f and I are 4x-penodic with f(x) = x and g(x) = e* for x = (-2,2). = (1+i)x for x = (0,2x). part d) f and are 2x-penodic with F(x) = x² and g(x) part e) f and I are 10x-periodic with f(x) = Sin (x³ cos(x)) and g(x) = cos (2x sin(x)) for x = (-5,5).
Transcribed Image Text:1) Find the inner product (f.j) between the following pairs of functions fands. part a) f and are 2x-penodic with F(x) = sinx and g(x)=x for x = (0,2x). part b) f and Ig are 2x-pensdic with F(x) = ((1+i)x and g(x) = x² for x = (0,2%). part c) f and I are 4x-penodic with f(x) = x and g(x) = e* for x = (-2,2). = (1+i)x for x = (0,2x). part d) f and are 2x-penodic with F(x) = x² and g(x) part e) f and I are 10x-periodic with f(x) = Sin (x³ cos(x)) and g(x) = cos (2x sin(x)) for x = (-5,5).
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