Using the Convolution Theorem, We Find That $\mathcal { L } ^ { - 1 } \left\{ 1 / \left( ( s + 1 ) \left( s ^ { 2 } + 1 \right) \right) \right\} =$

question 9

Multiple Choice

Using the convolution theorem, we find that $\mathcal { L } ^ { - 1 } \left\{ 1 / \left( ( s + 1 ) \left( s ^ { 2 } + 1 \right) \right) \right\} =$

• A) \(\left( e ^ { - t } + \sin t - \cos t \right) / 2\)
• B) \(\left( e ^ { t } + \sin t - \cos t \right) / 2\)
• C) \(\left( e ^ { - t } + \sin t + \cos t \right) / 2\)
• D) \(\left( e ^ { t } - \sin t - \cos t \right) / 2\)
• E) \(\left( e ^ { - t } - \sin t - \cos t \right) / 2\)

---

Definitions:

Membranous Labyrinth

Membranous structure within the inner ear consisting of the cochlea, vestibule, and semicircular canals.

Bony Labyrinth

An elaborate network of pathways and spaces located in the temporal bone of the skull, containing the inner ear's hearing and balance mechanisms.

Ossicles

Small bones, particularly referring to the three bones found in the middle ear known as the malleus, incus, and stapes, crucial for hearing.

Membranous Labyrinth

An intricate structure within the inner ear containing fluid-filled tubes and sacs, essential for hearing and balance.