Math 1338 Quiz #9 (Sec. 7.4) Name: ________________________________________________ Please show all work on this page. 1. Write the formula for each of the indicated: a. The length of the line segment joining two points on the coordinate plane. b. The length of a smooth curve given by y = f(x) from a < b. c. The length of a smooth curve given by x = g(y) from c < d. 3 2. What is the length of the arc given by = 1 + 2 , 0 4 ? For problems 3 and 4, set up a definite integral for the length of each curve. Then use your graphing calculator to find the length of the curve described. 3. = 1 3 for 1 3 4. = from x = 1 to x = 8