Find the Length of the Curve $y = \frac { 2 } { 3 } ( x - 4 ) ^ { \frac { 3 } { 2 } } , 7 \leq x \leq 12$

question 46

Multiple Choice

Find the length of the curve $y = \frac { 2 } { 3 } ( x - 4 ) ^ { \frac { 3 } { 2 } } , 7 \leq x \leq 12$ .

• A)19
• B) \(\frac { 65 } { 2 }\)
• C) \(\frac { 55 } { 2 }\)
• D)55
• E) \(\frac { 19 } { 2 }\)
• F) \(\frac { 38 } { 3 }\)
• G)38
• H)65

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