Find the Length of the Curve $\mathbf { r } ( t ) = \left\langle 2 t ^ { \frac { 3 } { 2 } } , 2 t + 1 , \sqrt { 5 } t \right\rangle 0 \leq t \leq 3$

question 55

Multiple Choice

Find the length of the curve $\mathbf { r } ( t ) = \left\langle 2 t ^ { \frac { 3 } { 2 } } , 2 t + 1 , \sqrt { 5 } t \right\rangle 0 \leq t \leq 3$

• A) \(3 \sqrt { 21 }\)
• B)6
• C)8
• D)10
• E)189
• F)14
• G)16
• H)18

---

Definitions:

Resource Price

The cost associated with acquiring resources needed for production, such as labor, land, and capital.

Derived Demand

Demand for a good or service that arises from the demand for another good or service.

Airline Pilots

Trained professionals who operate aircraft, navigating flights across various distances.

Air Travel

The act of transportation by aircraft, including commercial flights, private planes, and other forms of flying.