MAC2312 Name: Worksheet Section 8.1 Arc Length Directions: Work in your small group to complete this tutorial. Return the completed worksheet along with the homework exercises at the beginning of next class. All answers must be justified and work shown for full credit. Explanations should be written using complete sentences on the lines provided. 1. Set up and simplify, but do not evaluate, an integral representing the length of the following curves: a) f(x) = 2 cos(5x) for = S x Sn b) f(x) = xe* for OSxs1 c) g(y) = y+ y3 for 1sys22. Find the length of the curve g(y) = = (y - 1)3/2 for 9 sys 16 3. Find the length of the curve f(x) = = + for 1s x 2\f5. Consider the function f (x) = In(cos(x)). a) Using the initial point (0, 0), compute the arc length function s(x). b) Using the function s(x) you found in (a), calculate the arc length from the initial point (0, 0) to the point (=, - In(2) ). Homework Exercises Section 8.1 pgs. 548-549: 1, 9, 12, 13, 19, 228.1. Exercises 1. Use the arc length formula (3) to find the length of the curve y = 2x -5, -1