Use a Computer Algebra System to Find the Moment of Inertia

question 64

Multiple Choice

Use a computer algebra system to find the moment of inertia $I _ { 0 }$ of the lamina that occupies the region $D$ and has the density function $\rho ( x , y ) = 3 x y$ , if $D = \{ ( x , y ) \mid 0 \leq x \leq \pi , 0 \leq y \leq \sin ( x ) \}$ .

• A) \(14.1\)
• B) \(34.138\)
• C) \(24.105\)
• D) \(28.5\)
• E) None of these

---

Definitions:

Cranial Nerves

Twelve pairs of nerves that arise directly from the brain, not from the spinal cord, and pass through various foramina in the skull to innervate structures in the head, neck, and some other areas.

Ventral View

Relating to the front or anterior of any structure; viewing something from the front side.

Midbrain

A portion of the brainstem that plays an important role in vision, hearing, motor control, sleep/wake, arousal (alertness), and temperature regulation.

Olfactory Bulbs

Structures located at the base of the brain that process information about odors detected by cells in the nasal cavity.