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Let denote the Dirac delta function concentrated at.How many of the following statements are true? I. II. III., for all functions IV., where is the Heaviside function V., where is a real constant

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MCQs on Partial Differential Equations.


Let<br><img src='https://www.fatskills.com/images2/GradExams/28DE2E29-D59F-465D-844A-9283BE31D066.png' height='20' width='77'/> denote the Dirac delta function concentrated at<br><img src='https://www.fatskills.com/images2/GradExams/CE8152EE-20CE-4C7A-A2D4-092E8D50B486.png' height='12' width='16'/>.How many of the following statements are true?<br/> I.<br><img src='https://www.fatskills.com/images2/GradExams/B4CECA61-7486-4EA3-ACAE-43B3B6E2383F.png' height='24' width='174'/><br/> II.<br><img src='https://www.fatskills.com/images2/GradExams/4E4B6798-160A-44EF-806A-3D1995546F47.png' height='20' width='222'/><br/> III.<br><img src='https://www.fatskills.com/images2/GradExams/C8C60165-ECC0-40F5-AA3B-D6A02A684895.png' height='24' width='246'/>, for all functions<br><img src='https://www.fatskills.com/images2/GradExams/203085BB-4CDE-402E-A5EC-575C34B85EBF.png' height='18' width='10'/><br/> IV.<br><img src='https://www.fatskills.com/images2/GradExams/F5662A2B-E567-4E6E-A9DB-C91DD75EEB57.png' height='24' width='208'/>, where<br><img src='https://www.fatskills.com/images2/GradExams/9D0519F1-C028-432A-8D46-18CC411E0D03.png' height='14' width='16'/> is the Heaviside function<br/> V.<br><img src='https://www.fatskills.com/images2/GradExams/56877A4A-8A6A-4446-B83B-C4D877E38A4B.png' height='20' width='225'/>, where<br><img src='https://www.fatskills.com/images2/GradExams/0A63F2D4-CE2C-4E56-96B3-232C51C3E27B.png' height='10' width='9'/> is a real constant




 
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