Evaluate the Integral $\iint _ { R } \left( x ^ { 2 } + y ^ { 2 } \right) d A$

question 56

Multiple Choice

Evaluate the integral $\iint _ { R } \left( x ^ { 2 } + y ^ { 2 } \right) d A$ , where R is the disk with center the origin and radius 1.

• A) \(\frac { \pi } { 6 }\)
• B) \(\frac { \pi } { 4 }\)
• C) \(\frac { \pi } { 3 }\)
• D) \(\frac { \pi } { 2 }\)
• E) \(\frac { 2 \pi } { 3 }\)
• F) \(\frac { 3 \pi } { 4 }\)
• G) \(\frac { 5 \pi } { 6 }\)
• H) \(\pi\)

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Definitions:

Spinal Meninges

The protective membranes that cover the brain and spinal cord, consisting of three layers: dura mater, arachnoid mater, and pia mater.

Cerebral Meninges

The three protective membranes (dura mater, arachnoid mater, and pia mater) that surround the brain and spinal cord.

Medulla Oblongata

A section of the brainstem responsible for regulating vital functions, such as breathing, heart rate, and blood pressure.

Midbrain

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