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Help me finish the calculus HW 04 laplace transform and there is some question also on the book finish it please.

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Section 6.1 (Page 315) Use the definition of the Laplace transform to find the Laplace transform of the given functions: # # 5 (a), 23*. Section 6.2 Use properties of the Laplace transform and the table (see below) of Elementary Laplace transforms to find L ( ) [ ] t f : 1. 5 3 - + t t 2*. t e t - 3. t e t 3 2 ) 2 ( + 4. t e t 3 sin 5 5*. t e e t t t 4 cos 3 ) 1 ( 2 2 - + + 6*. t t β cos 7. t e t t β α sin Pages 324 – 325 : # # 2, 4*, 6, 8, 10*, 12, 18, 21*, 23* Section 6.3 Pages 333 – 334: # # 2*, 3, 9(b), 10 *(b), 14, 15, 20*, 21*, 24. Section 6.4 Page 340: # # 1, 5, 10* Section 6.5 Page 348: # # 1, 4*, 10 Elementary Laplace Transforms _______________________________________________________________________ ( ) ( ) [ ] s F L t f 1 - = ( ) ( ) [ ] t f L s F = _______________________________________________________________________ 1. 1 s 1 , 0 > s 2. t e α α - s 1 , α > s 3. , n t n is positive integer 1 ! + n s n , 0 > s
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4. t α sin 2 2 α α + s , 0 > s 5. t α cos 2 2 α + s s , 0 > s 6. ( ) t f e t α ( ) α - s F 7. ( ) t u c , s e s c - 0 > s 8. ( ) ( ) c t f t u c - ( ) s F e s c - 9. ( ) c t - δ s c e - 10. ( ) ( ) t f n ( ) ( ) ( ) 0 0 1 1 - - - - - n n n f f s s F s K 11. ( ) ( ) t f t n - ( ) ( ) s F n
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Subject: Calculus, Math
July 25, 2012 19:03 frs Sheet number 4 Page number iv cyan black WileyPLUS builds students' confidence because it takes the guesswork out of studying...
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