Find the Laplace transform of the following questions (1a-c)
a.t+t⁽²⁾+t⁽³⁾
b.3sin(4t)+t⁽²⁾
c.(4e²ᵗ-8)²
d. Prove that the Laplace transform of t⁽ⁿ⁾=(n!)/(s⁽ⁿ⁺¹⁾)
e. Prove that the Laplace transform of 1=1/s