find f(s) if f(t)=2t using. 1. 2. 3. 4.. if u(t) is the step function and f(t) is any function, then...
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Find F(s) if f(t)=2t using .
1 2 3 4
0% 0%0%0%
dttfesF st
0
)()(
2
2
s
1.
2
2
s
2.
2
1
s
3.
2
1
s
4.
If u(t) is the step function and f(t) is any function, then f(t)u(t) is a casual
function.
Tru
e
Fal
se
Don’t
know
0% 0%0%
1. True
2. False
3. Don’t know
If , find .
1 2 3 4
0% 0%0%0%
)()2()( 23 tutetf t
dt
df
)43( 3 tte t 1.
)()43( 3 tute t 2.
)()43( 3 tute t 3.
)43( 3 te t 4.
If , find .
42.6
67
42.3
33
43.6
67
None
of the
se
0% 0%0%0%
)()2()( 23 tutetf t
4
4
)( dttf
1. 42.667
2. 42.333
3. 43.667
4. None of these
Find the derivative with respect to t of
1 2 3 4
0% 0%0%0%
).()2sin2( 3 tutt
)()2cos23( 2 tutt 1.
)()2cos23( 2 tutt 2.
)()2cos26( 2 tutt 3.
)()2cos26( 2 tutt 4.
Find the area under the curve (cos3t)u(t) between t=-2 and t=1.
.047
.046
1.1
411
.423
4
0% 0%0%0%
1. 0.047
2. 0.0461
3. 0.1411
4. 0.4234
Find the Laplace transform of u(t-2).
1 2 3 4
0% 0%0%0%
s
e s21 1.
2
2te2.
s
e s23.
s
e s24.
Find the Laplace transform of(6cos2t-3t4)u(t), using
and
0% 0%0%0%
22)(.cos
as
stuat
.
!)(.
1n
n
s
ntut
52
72
4
6
ss
s
1.
52
24
4 ss
s
2.
52 3
24
)4(6 ss
s
3.
Don’t know4.
Find the inverse Laplace transform of
0% 0%0%0%
.)2)(1(
22 ss
)()2sin2cos(3
2tuttet
1.
)()2sin2cos(3
2tuttet
2.
)()2sin2cos(3
2tuttet
3.
)()2sin2cos(2
3tuttet
4.
If , use the first shift
theorem to find .
1 2 3 4
0% 0%0%0%
5
4 24)(
stutL
5
44 24)(
stuteL t
5)4(
24
s
1.
5)4(
24
s
2.
4
245 s
3.
4
245 s
4.
Find the inverse Laplace transform of
0% 0%0%0%
.16
522
s
s
)()4sin4(cos tutt 1.
)()4sin54cos2( tutt 2.
)()4sin4
54cos2( tutt
3.
)()4sin4
54cos2( tutt
4.