Find the Length of the Curve $$y = \int _ { 0 } ^ { x } \sqrt { 25 \sin ^ { 2 } t - 1 } d t , 0 \leq x \leq \frac { \pi } { 2 }$$

question 76

Multiple Choice

Find the length of the curve.
- $$y = \int _ { 0 } ^ { x } \sqrt { 25 \sin ^ { 2 } t - 1 } d t , 0 \leq x \leq \frac { \pi } { 2 }$$

• A) 5
• B) \(\frac { 5 } { 2 }\)
• C) 25
• D) \(\frac { 5 } { 3 }\)

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Definitions:

Hippocampus

A region of the brain associated with memory formation, organization, and retrieval.

Retina

Light-sensitive surface at the back of the eye, consisting of neurons and photoreceptor cells.

Hyperopia

A common vision condition, also known as farsightedness, where distant objects can be seen clearly, but close ones do not come into proper focus.

Farsightedness

A common vision condition where distant objects can be seen clearly, but close ones do not come into proper focus, usually resulting from an eyeball that's too short or a lens that is not round enough.