Find the length of the curve $\mathbf { r } ( t ) = \langle 2 t , \sin t , \cos t \rangle , 0 \leq t \leq 2 \pi$
A) $2 \pi \sqrt { 2 }$

B) $\pi \sqrt { 10 }$
C) $2 \pi \sqrt { 3 }$
D) $\pi \sqrt { 14 }$
E) $4 \pi$
F)
$3 \pi \sqrt { 2 }$

G) $2 \pi \sqrt { 5 }$

H) $\pi \sqrt { 22 }$

Question

Find the length of the curve $\mathbf { r } ( t ) = \langle 2 t , \sin t , \cos t \rangle , 0 \leq t \leq 2 \pi$ 
A) $2 \pi \sqrt { 2 }$

B) $\pi \sqrt { 10 }$ 
C) $2 \pi \sqrt { 3 }$ 
D) $\pi \sqrt { 14 }$
E) $4 \pi$ 
F)
$3 \pi \sqrt { 2 }$

G) $2 \pi \sqrt { 5 }$ 
 
H) $\pi \sqrt { 22 }$

Quizplus · Accepted Answer

The Answer of Find the length of the curve $\mathbf { r } ( t ) = \langle 2 t , \sin t , \cos t \rangle , 0 \leq t \leq 2 \pi$ 
A) $2 \pi \sqrt { 2 }$

B) $\pi \sqrt { 10 }$ 
C) $2 \pi \sqrt { 3 }$ 
D) $\pi \sqrt { 14 }$
E) $4 \pi$ 
F)
$3 \pi \sqrt { 2 }$

G) $2 \pi \sqrt { 5 }$ 
 
H) $\pi \sqrt { 22 }$

Find the Length of the Curve r(t)=⟨2t,sin⁡t,cos⁡t⟩,0≤t≤2π\mathbf { r } ( t ) = \langle 2 t , \sin t , \cos t \rangle , 0 \leq t \leq 2 \pir(t)=⟨2t,sint,cost⟩,0≤t≤2π

Find the Length of the Curve $\mathbf { r } ( t ) = \langle 2 t , \sin t , \cos t \rangle , 0 \leq t \leq 2 \pi$