Find the Length of the Curve $$x = \frac { 1 } { 3 } y ^ { 3 / 2 } - y ^ { 1 / 2 } \text { from } x = 9 \text { to } x = 16$$

question 256

Multiple Choice

Find the length of the curve.
- $$x = \frac { 1 } { 3 } y ^ { 3 / 2 } - y ^ { 1 / 2 } \text { from } x = 9 \text { to } x = 16$$

• A) \(\frac { 40 } { 3 }\)
• B) 20
• C) 12
• D) \(\frac { 37 } { 3 }\)

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Definitions:

Northern Soldiers

Refers to the soldiers from the Union states who fought in the American Civil War against the Confederate states of the South.

Slavery

A system in which individuals are owned by others, deprived of personal freedom, and forced to perform labor or services.

Emancipation

The act of freeing someone from slavery or oppression; often refers to the abolition of slavery in the United States.

Emancipation Proclamation

A historic executive order issued by President Abraham Lincoln in 1863, declaring the freedom of all enslaved people in Confederate states during the American Civil War.