Laplace Transform Quiz

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)

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)

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)

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)

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)

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)

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

For the function n(t)=t^3*cos(2t)u(t), which of these is the correct Laplace transform N(s)?

• N(s)=6s-6

• N(s)=6s+6

• N(s)=6s/(s^2+4)

• N(s)=(s^2-4)/(s^2+4)

If f(t)=e^(-2t)*cos(3t)u(t), which of these is the corresponding Laplace transform F(s)?

• F(s)=s/(s^2-4s+13)

• F(s)=s+4

• F(s)=s-4

• F(s)=(s^2-4s+13)/(s^2-4s+13)

For the function h(t)=e^(t)*sin(2t)u(t), which of these is the correct Laplace transform H(s)?

• H(s)=2s-2

• H(s)=2s+2

• H(s)=2s/(s^2+4)

• H(s)=(s^2-4)/(s^2+4)