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

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

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

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Find the Length of the Curve r(t)=⟨2t32,2t+1,5t⟩0≤t≤3\mathbf { r } ( t ) = \left\langle 2 t ^ { \frac { 3 } { 2 } } , 2 t + 1 , \sqrt { 5 } t \right\rangle 0 \leq t \leq 3r(t)=⟨2t23​,2t+1,5​t⟩0≤t≤3

Definitions:

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