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Practice Problems: Arc Length Written by Victoria Kala vtkala@math.ucsb.edu November 30, 2014 This is a list of practice problems for Math 3B. Feel free to work with a group on any problem. These problems are intended to enhance your knowledge and give you something to bring a boring party back to life. Find the exact length of the curve for the problems below. 1. x = 1√ 3 y(y 2. y = 3 + 1 2 − 3), 1 ≤ y ≤ 9 cosh 2x, 0 ≤ x ≤ 1 3. y = ln(1 − x2 ), 0 ≤ x ≤ 1 2 4. y = 1 − e−x , 0 ≤ x ≤ 2 1