Calculate the arc length of the indicated portion of the curve r(t).
-$$\mathbf { r } ( \mathrm { t } ) = \left( 8 + 2 \mathrm { t } ^ { 2 } \right) \mathbf { i } + \left( 2 \mathrm { t } ^ { 2 } - 7 \right) \mathbf { j } + \left( 7 - \mathrm { t } ^ { 2 } \right) \mathbf { k } , - 1 \leq t \leq 2$$
A) 9
B) 45
C) 27
D) 15

Question

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The Answer of Calculate the arc length of the indicated portion of the curve r(t).
-$$\mathbf { r } ( \mathrm { t } ) = \left( 8 + 2 \mathrm { t } ^ { 2 } \right) \mathbf { i } + \left( 2 \mathrm { t } ^ { 2 } - 7 \right) \mathbf { j } + \left( 7 - \mathrm { t } ^ { 2 } \right) \mathbf { k } , - 1 \leq t \leq 2$$
A) 9
B) 45
C) 27
D) 15

Calculate the Arc Length of the Indicated Portion of the Curve