P-2.7 Simplify the following expressions: (a) 3ej/3 +4e-jπ/6
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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Question
Please assist with question P-2.7. With details on how to do it. Thank you.
![100
Use it to evaluate (+j) ¹0⁰.
P-2.7 Simplify the following expressions:
(a) 3ej/3 +4e-jπ/6
10
(b) (√√3-j3)"
(c) (√√3-j3)¯¹
1/3
(d) (√3 – j3)
(e) R {je-j/³]}
Give the answers in both Cartesian form (x + jy) and polar form (reje).
P-2.8 Suppose that MATLAB is used to plot a sinusoidal signal. The following
MATLAB code generates the signal and makes the plot. Derive a formula for the signal;
then without running the program, draw a sketch of the plot that will be done by MATLAB.
dt = 1/1000;
tt
Te
-0.15 : dt : 0.15;
Fo = 7;
zz = 15*exp(j* (2*pi*Fo* (tt + 0.875)));
XX =
real ( zz );
plot (tt, xx), grid on
title('SECTION of a SINUSOID' )
xlabel ('TIME (s)/ )](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1296c196-158c-4a2c-9587-82b5996e9fed%2Fcebb01c3-aa6d-4fca-8a5e-a2e375a17b84%2Fpq94sc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:100
Use it to evaluate (+j) ¹0⁰.
P-2.7 Simplify the following expressions:
(a) 3ej/3 +4e-jπ/6
10
(b) (√√3-j3)"
(c) (√√3-j3)¯¹
1/3
(d) (√3 – j3)
(e) R {je-j/³]}
Give the answers in both Cartesian form (x + jy) and polar form (reje).
P-2.8 Suppose that MATLAB is used to plot a sinusoidal signal. The following
MATLAB code generates the signal and makes the plot. Derive a formula for the signal;
then without running the program, draw a sketch of the plot that will be done by MATLAB.
dt = 1/1000;
tt
Te
-0.15 : dt : 0.15;
Fo = 7;
zz = 15*exp(j* (2*pi*Fo* (tt + 0.875)));
XX =
real ( zz );
plot (tt, xx), grid on
title('SECTION of a SINUSOID' )
xlabel ('TIME (s)/ )
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