Find the Arc Length of the Curve on the Given $x = t ^ { 2 } + 3 , y = 8 t ^ { 3 } + 9 , - 1 \leq t \leq 0$

question 55

Multiple Choice

Find the arc length of the curve on the given interval. $x = t ^ { 2 } + 3 , y = 8 t ^ { 3 } + 9 , - 1 \leq t \leq 0$

• A)
• \(\frac { ( 770 ) ^ { \frac { 3 } { 2 } } - 8 } { 864 }\)
• B)
• \(\frac { ( 145 ) ^ { \frac { 3 } { 2 } } - 1 } { 216 }\)
• C)
• \(\frac { ( 2,308 ) ^ { \frac { 9 } { 4 } } - 8 } { 1728 }\)
• D)
• \(\frac { ( 2,308 ) ^ { \frac { 9 } { 4 } } - 1 } { 864 }\)
• E)
• \(\frac { ( 769 ) ^ { \frac { 3 } { 2 } } - 1 } { 1728 }\)

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