Question

1) Find the Laplace transforms of each of the following: a) f(t)=4e^{-2t} b) f(t)=(e^{3t}-e^{-3t})^{2} c) f(t)=(t+1)^{2} d) f(t)=sinh(3t)-5cos(2t) e) f(t)=sin(2t)+2cosh(3t) f) f(t)=3t^{7}+5 2) Find the inverse Laplace transforms for: a) F(s)=frac{2}{s-3} b) F(s)=frac{1}{s+5} c) F(s)=frac{4s}{s^{2}+16} d) F(s)=frac{1}{s^{2}+9} e) F(s)=frac{2s-8}{s^{2}+36} f) F(s)=frac{s^{3}-s^{2}+s-1}{s^{5}} 3) Find the Laplace transforms of each of the following: a) f(t)=t^{3} e^{-5t} b) f(t)=e^{-t} cos 2t c) f(t)=t sin(3t) d) f(t)=t cosh(2t) e) f(t)=t e^{t} sin t f) f(t)=t e^{-t} cosh t 4) Find the inverse Laplace transforms for: a) F(s)=frac{3s+9}{s^{2}+2s+10} b) F(s)=frac{s-1}{s^{2}-6s+25} c) F(s)=frac{1}{(s-5)^{3}} d) F(s)=frac{s}{(s-5)^{3}}

          1) Find the Laplace transforms of each of the following:
a) f(t)=4e^{-2t}
b) f(t)=(e^{3t}-e^{-3t})^{2}
c) f(t)=(t+1)^{2}
d) f(t)=sinh(3t)-5cos(2t)
e) f(t)=sin(2t)+2cosh(3t)
f) f(t)=3t^{7}+5

2) Find the inverse Laplace transforms for:
a) F(s)=frac{2}{s-3}
b) F(s)=frac{1}{s+5}
c) F(s)=frac{4s}{s^{2}+16}
d) F(s)=frac{1}{s^{2}+9}
e) F(s)=frac{2s-8}{s^{2}+36}
f) F(s)=frac{s^{3}-s^{2}+s-1}{s^{5}}

3) Find the Laplace transforms of each of the following:
a) f(t)=t^{3} e^{-5t}
b) f(t)=e^{-t} cos 2t
c) f(t)=t sin(3t)
d) f(t)=t cosh(2t)
e) f(t)=t e^{t} sin t
f) f(t)=t e^{-t} cosh t

4) Find the inverse Laplace transforms for:
a) F(s)=frac{3s+9}{s^{2}+2s+10}
b) F(s)=frac{s-1}{s^{2}-6s+25}
c) F(s)=frac{1}{(s-5)^{3}}
d) F(s)=frac{s}{(s-5)^{3}}

$1) Find the Laplace transforms of each of the following: a) f(t)=4e^-2t b) f(t)=(e^3t-e^-3t)^2 c) f(t)=(t+1)^2 d) f(t)=sinh(3t)-5cos(2t) e) f(t)=sin(2t)+2cosh(3t) f) f(t)=3t^7+5 2) Find the inverse Laplace transforms for: a) F(s)=frac2s-3 b) F(s)=frac1s+5 c) F(s)=frac4ss^2+16 d) F(s)=frac1s^2+9 e) F(s)=frac2s-8s^2+36 f) F(s)=fracs^3-s^2+s-1s^5 3) Find the Laplace transforms of each of the following: a) f(t)=t^3 e^-5t b) f(t)=e^-t cos 2t c) f(t)=t sin(3t) d) f(t)=t cosh(2t) e) f(t)=t e^t sin t f) f(t)=t e^-t cosh t 4) Find the inverse Laplace transforms for: a) F(s)=frac3s+9s^2+2s+10 b) F(s)=fracs-1s^2-6s+25 c) F(s)=frac1(s-5)^3 d) F(s)=fracs(s-5)^3$

Added by Donald W.

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