Find the Arc Length of the Curve on the Given $$x = t ^ { 2 } , y = 8 t , 0 \leq t \leq 4$$

question 61

Multiple Choice

Find the arc length of the curve on the given interval. $$x = t ^ { 2 } , y = 8 t , 0 \leq t \leq 4$$

• A) \(4 ( \sqrt { 2 } + \ln \sqrt { 2 } + \ln ( 2 + \sqrt { 2 } ) )\)
• B) \(4 ( \sqrt { 2 } - \ln \sqrt { 2 } + \ln ( 2 + \sqrt { 2 } ) )\)
• C) \(4 ( \sqrt { 2 } + \ln ( 2 + \sqrt { 2 } ) )\)
• D) \(16 ( \sqrt { 2 } - \ln \sqrt { 2 } + \ln ( 2 + \sqrt { 2 } ) )\)
• E) \(16 ( \sqrt { 2 } + \ln \sqrt { 2 } + \ln ( 2 + \sqrt { 2 } ) )\)

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