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A periodic function is defined by f(t) = {2t₂ - 1≤t<0, f(t+2) = f(t). Let F(t) be the Fourier series of f. Enter the value of F(-1) in the box below, rounded to two decimal places if necessary.

A periodic function is defined by f(t) = {2t₂ - 1≤t<0, f(t+2) = f(t). Let F(t) be the Fourier series of f. Enter the value of F(-1) in the box below, rounded to two decimal places if necessary.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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A periodic function is defined by < 0, f(t) = { ²²1, 0≤t<1, 2t, −t, f(t+2) = f(t). Let F(t) be the Fourier series of f. Enter the value of F(-1) in the box below, rounded to two decimal places if necessary.
Transcribed Image Text:A periodic function is defined by < 0, f(t) = { ²²1, 0≤t<1, 2t, −t, f(t+2) = f(t). Let F(t) be the Fourier series of f. Enter the value of F(-1) in the box below, rounded to two decimal places if necessary.
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