Question

I need help please

dh Use the formula L{t"f(t)}(s) 11n (L{f}(s)) to help determine the following the expressions. dan (a) L{t cos bt) (b) {{tº cos bt Click here to view the table of Laplace transforms. (a) L{t cos bt}(s) = 0 (b) L{t{ cos bt}(s) =

Answer 1

te" 414] (5)= (1) a (-{Fc)}) Lft Cosbt) here n=1, f (t) = Cosbt L{f(t)= F (s) = L { cos bt, ut cos 6L) = (-1) ) = - 4-(25) + (876–)() (5² +62)2 24 s² +6² -(-5² +62) (5² +622 ) --uv'tvu) u 2 +62 = Le Cosbt - ²62 LE Cost y = CamScanner (s?+622

for 762 6) Lf t² cosbe} heve naz, flt) = Cos bit & Fis) [{t "cocot) = (-) = 1. C as a -)) - ($+52) * (25) -[(562) (268**b*)(2x))] (52+62 34 = ($97629(28) -[(8%b2) (45) (3762)] (52762)4 = ($2+62)(82762)(25) – (5762)(45)] (5² +62)4 se as ( 8² +628- 28 27 262) (8+62)* 3 251-se +367] 28 ( 352-52) 152+62)3 (3762)3 25 (36²-52) (s² +6233 canned with CamScanner