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The Graph Below Is Most Likely the Graph of Which r(t)=2tcos(t)i+2tsintj+2k,0t2π\mathbf { r } ( t ) = 2 t \cos ( t ) \mathbf { i } + 2 t \sin t \mathbf { j } + 2 \mathbf { k } , \quad 0 \leq t \leq 2 \pi

Question 40

Multiple Choice

The graph below is most likely the graph of which of the following equations?  The graph below is most likely the graph of which of the following equations?   A)   \mathbf { r } ( t )  = 2 t \cos ( t )  \mathbf { i } + 2 t \sin t \mathbf { j } + 2 \mathbf { k } , \quad 0 \leq t \leq 2 \pi  B)   \mathbf { r } ( t )  = 2 \sin ( t )  \mathbf { i } + 2 \cos t \mathbf { j } + 2 \mathbf { k } , 0 \leq t \leq 2 \pi  C)   \mathbf { r } ( t )  = 2 \cos ( t )  \mathbf { i } + 2 t \sin t \mathbf { j } + 2 \mathbf { k } , 0 \leq t \leq 2 \pi  D)   \mathbf { r } ( t )  = 2 t \cos ( t )  \mathbf { i } + 2 \sin t \mathbf { j } + 2 \mathbf { k } , 0 \leq t \leq 2 \pi  E)   \mathbf { r } ( t )  = 2 \sin ( t )  \mathbf { i } + 2 \sin t \mathbf { j } + 2 \mathbf { k } , 0 \leq t \leq 2 \pi


A) r(t) =2tcos(t) i+2tsintj+2k,0t2π\mathbf { r } ( t ) = 2 t \cos ( t ) \mathbf { i } + 2 t \sin t \mathbf { j } + 2 \mathbf { k } , \quad 0 \leq t \leq 2 \pi
B) r(t) =2sin(t) i+2costj+2k,0t2π\mathbf { r } ( t ) = 2 \sin ( t ) \mathbf { i } + 2 \cos t \mathbf { j } + 2 \mathbf { k } , 0 \leq t \leq 2 \pi
C) r(t) =2cos(t) i+2tsintj+2k,0t2π\mathbf { r } ( t ) = 2 \cos ( t ) \mathbf { i } + 2 t \sin t \mathbf { j } + 2 \mathbf { k } , 0 \leq t \leq 2 \pi
D) r(t) =2tcos(t) i+2sintj+2k,0t2π\mathbf { r } ( t ) = 2 t \cos ( t ) \mathbf { i } + 2 \sin t \mathbf { j } + 2 \mathbf { k } , 0 \leq t \leq 2 \pi
E) r(t) =2sin(t) i+2sintj+2k,0t2π\mathbf { r } ( t ) = 2 \sin ( t ) \mathbf { i } + 2 \sin t \mathbf { j } + 2 \mathbf { k } , 0 \leq t \leq 2 \pi

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