Find the Length of the Curve $$x = \frac { 1 } { 3 } \left( t ^ { 3 } - 3 t \right) , y = t ^ { 2 } + 6,0 \leq t \leq 2$$

question 352

Multiple Choice

Find the length of the curve.
- $$x = \frac { 1 } { 3 } \left( t ^ { 3 } - 3 t \right) , y = t ^ { 2 } + 6,0 \leq t \leq 2$$

• A) \(\frac { 14 } { 3 }\)
• B) 5
• C) \(\frac { 8 } { 3 }\)
• D) \(\frac { 10 } { 3 }\)

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Definitions:

Vertebra

One of the individual bones that make up the vertebral column (spine), providing structural support and protection for the spinal cord.

Body Of Vertebra

The thick, oval segment of a vertebra forming the front of the vertebrae, supporting the majority of the body's weight.

Thoracic Region

The area of the body located between the neck and the abdomen, housing the chest organs, including the heart and lungs.

Vertebra

One of the individual bones that stack to form the vertebral column (spine), providing structural support and protecting the spinal cord.