Sin Sin

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FORM NO-5-A (REVISED) (For unexempted Establishments …

FORM NO-5-A (REVISED) (For unexempted Establishments only) The Employees’ provident Fund Scheme, 1952 (Para 36-A) The Employees’ Family Pension Scheme, 1971 (Para 16)

SOLUTIONS FOR HOMEWORK SECTION 6.4 AND 6.5 Problem 1

sin(2t) 0 t ˇ t=ˇ ˇ t<2ˇ 2 ˇ 2 The graph is sketched in gure 2. Figure 2. graph of h(t) To nd the Laplace transform of h(t), Lfhg= Lfsin(2t)g+ Lfu ˇ(t)(t=ˇ sin(2t))g+ Lfu 2ˇ(t)(2ˇ t)=ˇg Apply t-shifting theorem if needed, and nd the Laplace transform of each term: Lfsin(2t)g= 2 s2 + 4