Laplace transform of 𝐿𝑠𝑖𝑛𝑎𝑡Lsinat =a)𝑎2𝑠2−𝑎2s 2 −a 2 a 2 ​ b)𝑎𝑠2+𝑎2s 2 +a 2 a​ c)𝑠𝑠2−𝑎2s 2 −a 2 s​ d)𝑎𝑠2−𝑎2s 2 −a 2 a​

Find the Laplace transform of f(t) = 2𝑒7𝑡-2

Laplace transform if cos(at)u(t) is? a) s/a² s²? b) a/a² s² c) s²/a² s² d) a²/a² s²​

Inverse laplace transform of 𝐿−11𝑠2+𝑎2L −1 s 2 +a 2 1​ =a)1𝑎𝑐𝑜𝑠𝑎𝑡a1​ cosatb)1𝑎𝑠𝑖𝑛𝑎𝑡a1​ sinatc)1𝑎𝑠𝑖𝑛𝑡a1​ sintd)1𝑎𝑐𝑜𝑠𝑡a1​ cost

Determine the Laplace transform ofg(t)=2e12−2tu6(t)

The Laplace transform of e−2tcos(t)𝑒−2𝑡cos⁡(𝑡) isss+2𝑠𝑠+2s+2s2+1𝑠+2𝑠2+12s2+2s+52𝑠2+2𝑠+5s+2s2+4s+5