The Fourier integrals of two continuous functions f(x) and g(x) defined on R are given by = - 2n sin(wx)| dw f(x) cos(wx) + w3

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
icon
Related questions
Topic Video
Question
100%

multiple choice question, thank you.

The Fourier integrals of two continuous functions
f(x) and g(x) defined on R are given by
IT
S(«) = / |
sin(wx) dw
cos(wx) +
and
2л
cos(w'x) +
w2
sin(w'x) dw.
g(x) =
w3
Then
1. f(x) = 2 · g(x)
2.f(x) = 2 · g(x)
3. f(x) = 1 · g(x)
4. g(x) = 1 · f(x)
%3D
5.f(x) = 3 · g(x)
g(x)
6.f(x) =
2
Transcribed Image Text:The Fourier integrals of two continuous functions f(x) and g(x) defined on R are given by IT S(«) = / | sin(wx) dw cos(wx) + and 2л cos(w'x) + w2 sin(w'x) dw. g(x) = w3 Then 1. f(x) = 2 · g(x) 2.f(x) = 2 · g(x) 3. f(x) = 1 · g(x) 4. g(x) = 1 · f(x) %3D 5.f(x) = 3 · g(x) g(x) 6.f(x) = 2
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,