7. The final value for the function [ f(s) = (75s+84)/(15s²+ 21s)] is:- a. 5 b. 28/5 c. 25/7 d. 4
7. The final value for the function [ f(s) = (75s+84)/(15s²+ 21s)] is:- a. 5 b. 28/5 c. 25/7 d. 4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![7. The final value for the function [ f(s) = (75s+84)/(15s²+ 21s)] is:-
a. 5
b. 28/5
c. 25/7
d. 4
Y(s)
3
8. For the first order transfer function [ =
1], K₂=
X(s)
S+
T=
a. 6
b. 15
C. 5
d. 3
9. The unit of T is
a. Radian
b. time
c. length d. dimensionless
10. In the sinusoidal response, the ratio of output amplitude to input
and the phase lag angle (Ø) is =
amplitude (AR) is
=‒‒‒‒‒‒‒‒‒‒‒
a.
1
√T² w²+1
b. tan-¹(-wt)
c. . tan-¹(-wt)
d.
1
√T²w²-1
11. The inverse Laplace transform of [+ + ;] is:
B
s+2+j
C
s+2-j
a. [A + e²t (C₁sin(t)+C₂cos(t)) ] b. [A + e²t (C₁sin(-t)+C₂cos(-t))]
C. [A + e-2t (C₁sin(t)+C₂cos(t))] d. [A + e¯t(C₁sin(2t)+C₂cos(2t)) ]
12. The Laplace transform of [ e²t sin 3t ] is:
3
2
S+ 3
3
a.
b.
C.
d.
(S-2)2+9
(S-3)²+4
(S-2)²+9
(s+2)²+9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d161e09-1ef5-4356-a483-775a9bedbefd%2F998dc96a-3dc0-4d28-b8d3-c42250787d96%2F92ikcim_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. The final value for the function [ f(s) = (75s+84)/(15s²+ 21s)] is:-
a. 5
b. 28/5
c. 25/7
d. 4
Y(s)
3
8. For the first order transfer function [ =
1], K₂=
X(s)
S+
T=
a. 6
b. 15
C. 5
d. 3
9. The unit of T is
a. Radian
b. time
c. length d. dimensionless
10. In the sinusoidal response, the ratio of output amplitude to input
and the phase lag angle (Ø) is =
amplitude (AR) is
=‒‒‒‒‒‒‒‒‒‒‒
a.
1
√T² w²+1
b. tan-¹(-wt)
c. . tan-¹(-wt)
d.
1
√T²w²-1
11. The inverse Laplace transform of [+ + ;] is:
B
s+2+j
C
s+2-j
a. [A + e²t (C₁sin(t)+C₂cos(t)) ] b. [A + e²t (C₁sin(-t)+C₂cos(-t))]
C. [A + e-2t (C₁sin(t)+C₂cos(t))] d. [A + e¯t(C₁sin(2t)+C₂cos(2t)) ]
12. The Laplace transform of [ e²t sin 3t ] is:
3
2
S+ 3
3
a.
b.
C.
d.
(S-2)2+9
(S-3)²+4
(S-2)²+9
(s+2)²+9
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