P-2.7 Simplify the following expressions: (a) 3ej/3 +4e-jπ/6 10 (b) (√3-j3) ¹⁰ (c) (√3-j3) (d) (√3-j3)¹/³ (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 follo MATLAB code generates the signal and makes the plot. Derive a formula for the s then without running the program, draw a sketch of the plot that will be done by MAT dt = 1/1000; T tt = -0.15 : dt: 0.15; FO - 7.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Please assist with question P-2.7(e). 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)/ )
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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