Question

Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. {{319-61 -5l cos 16t} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. {{31° -6 - est cos 76t) -(Type an expression using s as the variable.) b. What is the restriction on s? (Type an integer or a fraction.) S>

Answer 1

Solution 56 @ we have to find Cos rot} L&sthebt 5tcostat? = 3448647-2ses cosrat 44342-60 -ė t } as we know that Lift car} = ! (s-and s-a and (S-a) 2462 Lletcosbe} = formula we get using above. 3! i{tett} = 3 31 (3+6)9 6 (5+6)4 (8+6)3+1 s-5 and Llest casrot} (5-5)?#56) &-5 (8-5) ²76 st 5t -e cosrót Hence L{3+² e-6t 67'= 3 Loftest - 2 Le cosret 6 67 3.6 s-5 (3+6)4 (8-5) ²76 18 (3+6) 4 18-5) (3-5) ²76

Lfste 3 -64 st e cos costat 18 (3+6) 4 (8-5) (-5)?+6 (b) since aboue expression define for all So Hence restriction ons is is eso