$\text { Find the arc length of the graph of the function } y = \frac { 3 } { 2 } x ^ { \frac { 2 } { 3 } } + 10 \text { over the interval }$

question 49

Multiple Choice

$\text { Find the arc length of the graph of the function } y = \frac { 3 } { 2 } x ^ { \frac { 2 } { 3 } } + 10 \text { over the interval }$ [1,64].

• A) \(17 \sqrt [ 3 ] { 17 } - 2 \sqrt [ 3 ] { 2 }\)
• B) \(19 \sqrt { 19 } - 2 \sqrt { 2 }\)
• C) \(17 \sqrt { 17 } - 2 \sqrt { 2 }\)
• D) \(19 \sqrt [ 3 ] { 19 } - 10 \sqrt [ 3 ] { 10 }\)
• E) \(17 \sqrt { 17 } - 10 \sqrt { 10 }\)

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