Express f(a) by the Fourier series f(z) = 2, ーTくェS0 0< ST' where f (x) = f(x+27). %3D
Express f(a) by the Fourier series f(z) = 2, ーTくェS0 0< ST' where f (x) = f(x+27). %3D
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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![7. Find answers in rectangular form.
(a) 247/6+44 60° =
(b) (24m/3)/(4+i3) =
%3D
(c) (3-14)/(4+i2)*=
(d) (2437/4) 5 60° =
%3D
8. Find the values of z= V2+3i in rectangular form.
9. Answer the follwing questions.
(a) Determine whether fz)=3z-zz* is differentiable.
(b) Let Az) be a complex function which is not constant. Is it possible
for both Az) and fz)]* to be analytic?
10. (a) Solve e = 5-12i.
(b) Solve sinz = 10.
(c) Express Ln(5-12i) in rectangular fom.
(d) Express principal value of (3-41)* in polar fom.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb226cb59-b000-4459-b18c-da9ca0b8ff98%2F01132aed-5d97-4a12-91fa-8fa38aa99ccb%2Fycdkjf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. Find answers in rectangular form.
(a) 247/6+44 60° =
(b) (24m/3)/(4+i3) =
%3D
(c) (3-14)/(4+i2)*=
(d) (2437/4) 5 60° =
%3D
8. Find the values of z= V2+3i in rectangular form.
9. Answer the follwing questions.
(a) Determine whether fz)=3z-zz* is differentiable.
(b) Let Az) be a complex function which is not constant. Is it possible
for both Az) and fz)]* to be analytic?
10. (a) Solve e = 5-12i.
(b) Solve sinz = 10.
(c) Express Ln(5-12i) in rectangular fom.
(d) Express principal value of (3-41)* in polar fom.
![1. Express f() by the Fourier series
where f(x)= - 2, -T<<0
f(x) = f(x+27).
%3D
2. Express fx) by the Fourier series where fx)= x-2| for 0<xS4,
fx) = Ax+4).
3. Show that fx)=3x-1 and g(x)-35x-30x+3 are orthogonal to each other
on [-1, 1].
4. Express f(r) by the Fourier integral where f(x)=
S-2,
-3 <r< 3
otherwise.
5. By integration find the Fourier transform of fx)=2r+1 if <1 and fx)=0
otherwise.
6. Find the DFT of [1, 2, 0].
Continued to the next page](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb226cb59-b000-4459-b18c-da9ca0b8ff98%2F01132aed-5d97-4a12-91fa-8fa38aa99ccb%2Fyvvmp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Express f() by the Fourier series
where f(x)= - 2, -T<<0
f(x) = f(x+27).
%3D
2. Express fx) by the Fourier series where fx)= x-2| for 0<xS4,
fx) = Ax+4).
3. Show that fx)=3x-1 and g(x)-35x-30x+3 are orthogonal to each other
on [-1, 1].
4. Express f(r) by the Fourier integral where f(x)=
S-2,
-3 <r< 3
otherwise.
5. By integration find the Fourier transform of fx)=2r+1 if <1 and fx)=0
otherwise.
6. Find the DFT of [1, 2, 0].
Continued to the next page
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