f(t) = { -cost, cost, T ·
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
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![Question 8:
A periodic function f(t) is defined on its period by the formula:
f(t)=
-cost,
cost,
-≤t < 0;
2
0<t≤
π
a) Plot the function f(t) on the interval -27≤t≤2π.
b) Determine the period of the function.
c) Determine, whether the function is odd or even?
d) Find the average value of the function on its period.
e) Present the function by the Fourier series using the symbol Σ.
f) Present first four terms of the Fourier series in the explicit form.
[25 marks]
[4 marks]
[1 mark]
[1 mark]
[1 mark]
[12 marks]
[6 marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8814420f-6d96-4716-b863-6b7a767c4115%2F49b0c625-eadb-474b-9699-5df260e8f7fc%2F60wn8o_processed.png&w=3840&q=75)
Transcribed Image Text:Question 8:
A periodic function f(t) is defined on its period by the formula:
f(t)=
-cost,
cost,
-≤t < 0;
2
0<t≤
π
a) Plot the function f(t) on the interval -27≤t≤2π.
b) Determine the period of the function.
c) Determine, whether the function is odd or even?
d) Find the average value of the function on its period.
e) Present the function by the Fourier series using the symbol Σ.
f) Present first four terms of the Fourier series in the explicit form.
[25 marks]
[4 marks]
[1 mark]
[1 mark]
[1 mark]
[12 marks]
[6 marks]
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