Consider the curve segments: 1 S1: y = x from x = to x = 3 and S2: y = Vx from x = 1 -to x = 9. 16 Set up integrals that give the arc lengths of the curve segments by integrating with respect to y. 1 The length of the first segment is L1 = 1 + -dy and the length of the second segment is L2 = 1 +4y dy. 4y -dy and the length of the second segment is L2 4y /Vi + 4v° dy. The length of the first segment is LI 3 The length of the first segment is LI = VI + 2ydy and the length of the second segment is L2 -dy. 2y The length of the first segment is Lj = / VI + 2ydy and the length of the second segment is L2 = 1 -dy. 2y 16 The length of the first segment is L1 = / V 1+4y dy and the length of the second segment is L2 = dy. 2y

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A: Please refer the attached image for complete solution. THANK YOU.

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