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Find the Length of the Curve x=t33t2,y=t3+3t2,0t5x = 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=t33t2,y=t3+3t2,0t5x = t ^ { 3 } - 3 t ^ { 2 } , y = t ^ { 3 } + 3 t ^ { 2 } , 0 \leq t \leq \sqrt { 5 } .


A) 81
B) 5\sqrt { 5 }
C) 1712\frac { 171 } { 2 }
D) 28\sqrt { 28 }
E) 57

F) 15\sqrt { 15 }
G) 1055105 \sqrt { 5 }
H) 30\sqrt { 30 }

Correct Answer:

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