# Arc length and surface area

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1. Find the length of the arc of the curve y = x^(3/2) from x=1 to x=2.

2. Find the length of the arc of the curve y = ln(sec x) from x=0 to x=PI/4. What is the length of the curve from x=0 to x=PI/2?

5. Find the surface area of the cone formed by rotating the line y = ax about the x axis from x=0 to x=b.

7. Find the surface area of the top quarter of the sphere of radius r. Please see the attachment for complete question.

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##### Solution Summary

Help is given to find the length of the arc of the curve as well as the length of the curve in this question.

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