Assignments Quizzes Discussions Classlist Grades Library Other ntents > Class 2022 > Previous Exam > Final_2021 | 2021 of 4 Automatic Zoom Final Exam: 2021 Student Name: Problem 1 {13 Marks} Find the Laplace transform or Inverse Laplace Transform as indicated 1. L { (cos(2t) + t sin(2t)) u(1) }. 2. [ { sin(t) u(t - 27 ) }, 3. 6 8(t) esin(T)dr . Hint: [ {8(t)] =1 4. C { ( 3 + 4t2 + 2e-" -4+4) u(t - 1 ) } 5. Using the Laplace transform, solve for y(t) in the integral equation ( 2 ) 1 (1 ) + 4 / 1( 7 ) (1 7 )dr - 2tu(1 ) (b ) y (t ) + 2c / y(The " dT = tetu(t ) 6. cute