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:

Unconditioned Response

An automatic, innate reaction to a stimulus that occurs naturally without any prior learning or conditioning.

Fourth Of July

A federal holiday in the United States commemorating the Declaration of Independence, celebrated with fireworks, parades, and barbecues.

Firecrackers

Small explosive devices primarily used for entertainment, especially in celebrations, producing a loud noise and visual effects upon ignition.

Conditioned Stimulus

A stimulus that was once neutral but, after pairing with the unconditioned stimulus, begins to provoke a conditioned response.