Question

Derive the Laplace transform for the following time

functions:

a. sin ωt u(t)

b. cos ωt u(t)

Answer #1

Derive the Laplace transform of the following time domain
functions
A) 12 B) 3t sin(5t) u(t) C) 2t^2 cos(3t) u(t) D) 2e^-5t
sin(5t)
E) 8e^-3t cos(4t) F) (cost)&(t-pi/4)

Find the Laplace transform for the following functions. Show all
work.
(a) u(t-1) - u(t-2)
(b) sin(2t-4)u(t-2)

Compute the Laplace transform of functions
a) f(t) = e^(−3t) sin(5t)
b) f(t) = (2t + 3)e^(−t)

Compute Laplace transform of the following functions.
(Please show all the steps)
f)v(t)=(17e^(-4t)-14e^(-5t))u(t)V
g)v(t)=10e^(-5t)(cos(4t+36.86(degrees))(u(t))

Find the Laplace Transform of the following functions:
1. e^(-2t+1)
2. cos^2(2t)
3. sin^2(3t)

Find the laplace transform of sin root t and hence deduce cos
root t all over root t

Find the Laplace transform of the following functions.
(a) f (t) = { 7 0 < t ≤ 4 8 t ≥ 4
(b) f (t) = { t2 0 ≤ t < 2 0 t ≥ 2
(c) f (t) = { 0 0 ≤ t < π/9 cos[7(t − π/9)] t ≥
π/9

Use time-shift property to find the Laplace-image of
a.)sin(t-b) *1(t-b)
b.) cos^2(t-b)*1(t-b)

Use the definition of the Laplace transform to find the
transform of:
f(t)= at+ b cos(2t), where a, b are real numbers.
Please solve using simple and easy to follow steps (here for
learning not for answers)
Thanks

find laplace transform of a)1+e-t
b)sin3t
c)sin(squaret)+cos(squaret)
i want all the questions dont incomplete answers.i will give dis
like

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