Solve the Problem $\left( 1 , \frac { 5 } { 6 } \right)$

question 13

Multiple Choice

Solve the problem.
-Find a curve through the point $\left( 1 , \frac { 5 } { 6 } \right)$ whose length integral, $1 \leq x \leq 2$ , is $\mathrm { L } = \int _ { 1 } ^ { 2 } \sqrt { 1 + 25 \mathrm { x } 10 } \mathrm { dx }$ .

• A) \(y = 5 x ^ { 6 }\)
• B) \(y = \frac { 5 } { 6 } x ^ { 5 }\)
• C) \(y = \frac { 5 } { 6 } x ^ { 6 }\)
• D) \(y = 5 x ^ { 5 }\)

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Definitions:

Respirations

The process of inhaling and exhaling air for gas exchange between the internal body environment and the external environment.

Apnea

A temporary cessation of breathing, especially during sleep.

Hyaline Membrane Disease

A respiratory disorder primarily affecting premature infants, characterized by the formation of a glassy membrane in the lungs, leading to breathing difficulties.

Flow Volume Loop

A graphical representation of the amount of air an individual can inhale and exhale over time, used in the diagnosis and assessment of lung function.