A periodic function f(t) of period 2 is defined by 3t (0
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
Related questions
Question
![A periodic function f(t) of period 2 is defined by
3t
(0<t<1)
(1 < t <2)
4
f(t) =
I
{²
f(t + 2) = f(t)
Sketch a graph of f(t) for -4 < t < 4 and determine a Fourier series expansion for the
function.
Answer:
3
6 cos (2n-1)πt 3
을 도
TU
(2n-1)²
T
n=1
n=]
sin nat
n](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8814420f-6d96-4716-b863-6b7a767c4115%2Ffc5ee46c-e0db-4f4a-87cf-cdad561575ba%2Fjlkfo5j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A periodic function f(t) of period 2 is defined by
3t
(0<t<1)
(1 < t <2)
4
f(t) =
I
{²
f(t + 2) = f(t)
Sketch a graph of f(t) for -4 < t < 4 and determine a Fourier series expansion for the
function.
Answer:
3
6 cos (2n-1)πt 3
을 도
TU
(2n-1)²
T
n=1
n=]
sin nat
n
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