7. The final value for the function [ f(s) = (75s+84)/(15s²+ 21s)] is:- a. 5 b. 28/5 c. 25/7 d. 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 69E
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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
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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