The Inverse Laplace Transform Of $F ( s ) = \left( 3 s ^ { 2 } + 1 \right) / \left( s ^ { 2 } \cdot \left( s ^ { 2 } + 1 \right) \right)$

question 18

Multiple Choice

The inverse Laplace transform of $F ( s ) = \left( 3 s ^ { 2 } + 1 \right) / \left( s ^ { 2 } \cdot \left( s ^ { 2 } + 1 \right) \right)$ is

• A) \(2 \cos t + t ^ { 2 }\)
• B) \(2 \sin t + t ^ { 2 }\)
• C) \(2 \cos t + t\)
• D) \(2 \sin t + t\)
• E) \(\sin t + 2 t\)

---

Definitions:

(S)-3-chloro-3-methylhexane

A chiral compound with a specific three-dimensional arrangement around the chiral center, designated by the (S) configuration.

Asymmetric Carbon

A carbon atom bonded to four different atoms or groups of atoms, making it a chiral center.

R or S

Notation used in chemistry to describe the absolute configuration of chiral centers in molecules, indicating the spatial arrangement of atoms.

Asymmetric Carbon Atoms

Carbon atoms bonded to four different groups, leading to chiral molecules that can exist as enantiomers.