Find the Length of the Curve $$x = \int _ { y } ^ { 1 } \sqrt { t ^ { 3 } - 1 } d t , 1 \leq y \leq 9$$

question 212

Multiple Choice

Find the length of the curve.
- $$x = \int _ { y } ^ { 1 } \sqrt { t ^ { 3 } - 1 } d t , 1 \leq y \leq 9$$

• A) \(\frac { 484 } { 5 }\)
• B) 20
• C) \(\frac { 481 } { 5 }\)
• D) \(\frac { 52 } { 3 }\)

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Definitions:

EEG Pattern

A graphical representation of the electrical activity of the brain recorded during an electroencephalogram.

Deep Sleep

The stage of sleep in which brain waves slow down and recovery processes increase, important for memory and recovery.

Waking State

The period of consciousness when an individual is awake, characterized by awareness of the self and the environment.

EEG Pattern

The characteristic electrical activity of the brain recorded by electroencephalography, which can be analyzed to diagnose various neurological conditions.