Express x(t) = 5 + 3 sin (35+) as a linear combination of complex exponentials. O a. 5+(²¹e-e-12²¹e-¹₁) O b. 5 + 3 5+ 3 ³2 (ej²te³ - e-j²r²te-j j27 е j2 TT O ○ c. 5+ (¹²¹³¹+e¯ j2π O d. e-j²m ² 1 ¹ e - 1 ² ) π ³/² ( ³ ² ² ²¹ e ³³ + €¯¹² π = ¹ e¯¹) 3 е j2 3 2

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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  • Fourier analysis of discrete and continuous time signals and systems
  • Bode plots

 

Express x (t) = 5 + 3 sin (³t+) as a linear combination of
complex exponentials.
5+(²¹²¹)
Ob. 52)
( ³² ² ¹³ ²³ - e-¹² ²¹-¹²)
a.
C.
3
2
O d. 5 +
3
3
5 + ³² (¹²¹² ¹³¹³ + €¯¹²π = ¹ e¯¹³)
j2π
2
е
-³²2 ( ¹²³² = ¹²e¹³²³ + € ²¹² ² = ¹²e - ¹² )
e
e-j²π te
3
012π
te e
j2
Transcribed Image Text:Express x (t) = 5 + 3 sin (³t+) as a linear combination of complex exponentials. 5+(²¹²¹) Ob. 52) ( ³² ² ¹³ ²³ - e-¹² ²¹-¹²) a. C. 3 2 O d. 5 + 3 3 5 + ³² (¹²¹² ¹³¹³ + €¯¹²π = ¹ e¯¹³) j2π 2 е -³²2 ( ¹²³² = ¹²e¹³²³ + € ²¹² ² = ¹²e - ¹² ) e e-j²π te 3 012π te e j2
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