Find the Length of the Curve $x = t ^ { 3 } - 3 t ^ { 2 } , y = t ^ { 3 } + 3 t ^ { 2 } , 0 \leq t \leq \sqrt { 5 }$

question 93

Multiple Choice

Find the length of the curve $x = t ^ { 3 } - 3 t ^ { 2 } , y = t ^ { 3 } + 3 t ^ { 2 } , 0 \leq t \leq \sqrt { 5 }$ .

• A)81
• B) \(\sqrt { 5 }\)
• C) \(\frac { 171 } { 2 }\)
• D) \(\sqrt { 28 }\)
• E)57
• F) \(\sqrt { 15 }\)
• G) \(105 \sqrt { 5 }\)
• H) \(\sqrt { 30 }\)

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