Solve the Problem $y$ -Axis of a Thin Infinite Region in the First Quadrant

question 161

Multiple Choice

Solve the problem.
-Find the moment of inertia about the $y$ -axis of a thin infinite region in the first quadrant bounded by the coordinate axes and the curve $y = e ^ { - 3 x }$ if $\delta ( x , y ) = x y$ .

• A) \(\frac { 1 } { 432 }\)
• B) \(\frac { 1 } { 54 }\)
• C) \(\frac { 5 } { 1296 }\)
• D) \(\frac { 1 } { 135 }\)

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Definitions:

Antagonist

in pharmacology, a substance that acts against and blocks an action. In literature, a character or force in conflict with the main character.

Neurotransmitter

Chemical messengers in the brain and body that transmit signals from one nerve cell to another.

Peripheral Nerves

Nerves located outside the brain and spinal cord, which connect the central nervous system to limbs and organs.

CNS

Central Nervous System; it comprises the brain and spinal cord, acting as the primary processing center for the entire nervous system.