Calculate the Arc Length of the Indicated Portion of the Curve

question 102

Multiple Choice

Calculate the arc length of the indicated portion of the curve r(t) .
-Following the curve $r ( t ) = 5 t i + ( 12 \cos t ) j + ( 12 \sin t ) k$ in the direction of increasing of arc length, find the point that lies $26 \pi$ units away from the point where $t = 0$ .

• A) \(( 10 \pi , 0,0 )\)
• B) \(( 10,12,0 )\)
• C) \(( 10 \pi , 12,0 )\)
• D) \(( 10 \pi , 0,12 )\)

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