Find the Length of the Indicated Portion of the Curve$$r ( t ) = ( 1 + 2 t ) \mathbf { i } + ( 1 + 4 t ) \mathbf { j } + ( 5 - 5 t ) \mathbf { k } , - 1 \leq t \leq 0$$

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The Answer of Find the Length of the Indicated Portion of the Curve$$r ( t ) = ( 1 + 2 t ) \mathbf { i } + ( 1 + 4 t ) \mathbf { j } + ( 5 - 5 t ) \mathbf { k } , - 1 \leq t \leq 0$$

Find the Length of the Indicated Portion of the Curve $r ( t ) = ( 1 + 2 t ) \mathbf { i } + ( 1 + 4 t ) \mathbf { j } + ( 5 - 5 t ) \mathbf { k } , - 1 \leq t \leq 0$

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Find the Length of the Indicated Portion of the Curve r(t)=(1+2t)i+(1+4t)j+(5−5t)k,−1≤t≤0r ( t ) = ( 1 + 2 t ) \mathbf { i } + ( 1 + 4 t ) \mathbf { j } + ( 5 - 5 t ) \mathbf { k } , - 1 \leq t \leq 0r(t)=(1+2t)i+(1+4t)j+(5−5t)k,−1≤t≤0

Definitions:

Find the Length of the Indicated Portion of the Curve $r ( t ) = ( 1 + 2 t ) \mathbf { i } + ( 1 + 4 t ) \mathbf { j } + ( 5 - 5 t ) \mathbf { k } , - 1 \leq t \leq 0$