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Match the Equation with the Graph Shown in Red Below r(t)=ti+t2j+t3k0t1\mathbf { r } ( t ) = t \mathbf { i } + t ^ { 2 } \mathbf { j } + t ^ { 3 } \mathbf { k } \quad 0 \leq t \leq 1

Question 66

Multiple Choice

Match the equation with the graph shown in red below.  Match the equation with the graph shown in red below.    A)   \mathbf { r } ( t )  = t \mathbf { i } + t ^ { 2 } \mathbf { j } + t ^ { 3 } \mathbf { k } \quad 0 \leq t \leq 1  B)   \mathbf { r } ( t )  = t \mathbf { i } + t ^ { 2 } \mathbf { j } + t \mathbf { k } , \quad 0 \leq t \leq 1  C)   \mathbf { r } ( t )  = t \mathbf { i } + t \mathbf { j } + t ^ { 2 } \mathbf { k } , \quad 0 \leq t \leq 1  D)    \mathbf { r } ( t )  = \mathbf { i } + t \mathbf { j } + t \mathbf { k } , \quad 0 \leq t \leq 4  E)   \mathbf { r } ( t )  = t \mathbf { i } + t \mathbf { j } + t \mathbf { k } , \quad 0 \leq t \leq 1


A) r(t) =ti+t2j+t3k0t1\mathbf { r } ( t ) = t \mathbf { i } + t ^ { 2 } \mathbf { j } + t ^ { 3 } \mathbf { k } \quad 0 \leq t \leq 1
B) r(t) =ti+t2j+tk,0t1\mathbf { r } ( t ) = t \mathbf { i } + t ^ { 2 } \mathbf { j } + t \mathbf { k } , \quad 0 \leq t \leq 1
C) r(t) =ti+tj+t2k,0t1\mathbf { r } ( t ) = t \mathbf { i } + t \mathbf { j } + t ^ { 2 } \mathbf { k } , \quad 0 \leq t \leq 1
D) r(t) =i+tj+tk,0t4 \mathbf { r } ( t ) = \mathbf { i } + t \mathbf { j } + t \mathbf { k } , \quad 0 \leq t \leq 4
E) r(t) =ti+tj+tk,0t1\mathbf { r } ( t ) = t \mathbf { i } + t \mathbf { j } + t \mathbf { k } , \quad 0 \leq t \leq 1

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