Find the Inverse Laplace Transform Of $$F ( s ) = \frac { 6 s + 15 } { ( s + 3 ) ^ { 2 } ( s + 5 ) ^ { 2 } }$$

question 18

Essay

Find the inverse Laplace transform of $$F ( s ) = \frac { 6 s + 15 } { ( s + 3 ) ^ { 2 } ( s + 5 ) ^ { 2 } }$$

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Definitions:

Soap

Salt of fatty acids that are primarily used for cleaning and lubrication, formed by the reaction between an alkali and a fat or oil.

Detergent

A chemical compound used to remove dirt, including surfactants that can break up and remove grease and oil.

Terpenes

A large and diverse class of organic compounds produced by a variety of plants, especially conifers, which are often strong smelling and used in natural roles as protection against herbivores, insects, and pathogens, as well as in perfumes, spices, and pharmaceuticals.

Sesquiterpene

A category of terpenes composed of three units of isoprene, bearing the molecular formula C15H24.