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Laplace Transform Quiz

Authored by EC M

Mathematics

University

Used 3+ times

Laplace Transform Quiz
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16 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If f(t)=sin(2t)u(t), which of these is the corresponding Laplace transform F(s)?

F(s)=2/(s^2+4)

F(s)=(s^2-4)/(s^2+4)

F(s)=(s^2+4)/(s^2-4)

F(s)=2s/(s^2+4)

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which Laplace transform pair corresponds to the given function f(t)=e^(-at)u(t)?

F(s)=1/(s+a)

F(s)=1/(s-a)

F(s)=a/(s+a)

F(s)=a/(s-a)

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which Laplace transform pair corresponds to the given function f(t)=e^(-3t)u(t)?

F(s)=1/(s+3)

F(s)=1/(s-3)

F(s)=3/(s+3)

F(s)=3/(s-3)

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For the function g(t)=cos(2t)u(t), which of these is the correct Laplace transform G(s)?

G(s)=s/(s^2+4)

G(s)=(s^2-4)/(s^2+4)

G(s)=(s^2+4)/(s^2-4)

G(s)=(s^2+4)/(s^2+4)

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If f(t)=cos(t)u(t), which of these is the corresponding Laplace transform F(s)?

F(s)=s/(s^2+1)

F(s)=(s^2-1)/(s^2+1)

F(s)=(s^2+1)/(s^2-1)

F(s)=(s^2+1)/(s^2+1)

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If f(t)=e^(-t)*sin(t)u(t), which of these is the corresponding Laplace transform F(s)?

F(s)=s/(s^2+1)

F(s)=s-1

F(s)=s+1

F(s)=(s^2+1)/(s^2+1)

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which Laplace transform pair corresponds to the given function f(t)=t^3*e^(-2t)u(t)?

F(s)=6/(s+2)^4

F(s)=6/(s-2)^4

F(s)=6/(s^2+4)^2

F(s)=6/(s^2-4)^2

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