Find the Laplace transform for f(t)=2u(t-u)cos^2 2t-6e^(2t+7) delta(t+3)

midtlinjeg 2021-01-05 Answered

Find the Laplace transform for
f(t)=2u(t3)cos22t6e2t+7δ(t+3)

You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Benedict
Answered 2021-01-06 Author has 108 answers
Step 1
Calculate the Laplace transform:
f(t)estdt=(2u(t3)cos22t6e2t+7δ(t+3))estdt
=2u(t3)cos22testdt6e2t+7δ(t+3)estdt
=23estcos22tdt6e3s+1
=3est(cos4t+1)dt6e3s+1
=3estcos4tdt+3estdt6e3s+1
=3estcos4tdt+1e3ss6e3s+1
=3este4jt+e4jt2dt+1e3ss6e3s+1
=3est+4jt+est4jt2dt+1e3ss6e3s+1

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-02-04

A 17.8 kg flood light in a park is supported at the end of a horizontal beam of negligible mass that is hinged to a pole. A cable connected to the beam helps to support the light. (In thefigure, θ = 34.2 degrees. Find (A) The tension in the cable and (B) the horizontal and (C) vertical forces exerted on the beamby the pole.
image
(A) 320 N
(B) 250 N
(C) 0

asked 2020-12-28

Two blocks with masses 4.00 kg and 8.00 kg are connected by string and slide down a 30.0 degree inclined plane. The coefficient of kinetic friction between the 4.00-kg block and the plane is 0.25; that between the 8.00-kg block and the plane is 0.35.
a) Calculate the acceleration of each block
b) Calculate the tension in the string
c) What happens if the positions of the block are reversed, so that the 4.00-kg block is above the 8.00-kg block?
image

asked 2020-11-22
A 0.145 kg baseball pitched at 39.0 m/s is hit on a horizontal line drive straight back toward the pitcher at 52.0 m/s. If the contact time between bat and ball is 1.00×103 s,calculate the average force between the bat and ball during contest.
asked 2020-10-26
A 1.0 kg ball and a 2.0 kg ball are connected by a 1.0-m-long rigid, massless rod. The rod is rotating cw about its center of mass at 20 rpm. What torque will bring the balls to a halt in 5.0 s? Answer in Nm.
asked 2020-11-30

Find inverse laplace
find y(t) for the following
Y(s)=8s+1s3e2s

asked 2021-10-30

Using the definition of continuity, explain why the beatiful piece-wise function f(x)={cos(x),for x<01,for x=01x2,for x>0 is continuous at x=0. Show work to support your explanation.

asked 2021-01-10

Prove that for n2,2(n2)+(n1)=n2

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question