JavaBasicsCond/src/programs/Divisible.java - Eclipse IDE drive.google.com C Worksheet For ... Exams & Quizz... Legacy Worksh.. www.cs.umd.e... www. cs . umd . e .. WS04 - 06_02 ... WS04 - 06 02_... Course Hero Untitled 1 scan m... Get Homework.. 1. Let the base of a solid be a 30 - 60 right triangle, with smallest leg of length 2 units on the x axis on the interval [0, 2). The cross sections of the solid perpendicular to that leg are semicircles. Draw a picture of the base, and a cross section, and then find the volume V of the solid. 2. Let f(x) - 4 - , and let R denote the region bounded above by the graph of f and below by the r axis. Calculate the volume V of the solid generated by revolving R about the line y = -1 , and draw an associated figure of the solid. Suppose that we wanted to revolve R about the line y = 1. What problems would we encounter? 3. Let f(x) - ab + c/r , for 1 4 2 5 2. We wish to find the length L of the graph of f. Determine a positive value of c for which you can evaluate the integral that arises. Then find the value of L. 4. Suppose that when a spring is extended 6 centimeters the work W done is 38 ergs. How much work Wo is done in bringing it back halfway to its natural length? 5. Suppose the force needed in order to push a snowball grows 1.5 pounds every foot. If at the beginning of the roll it takes 1 pound of force to hold it, find the work W needed to roll the snowball 20 feet. 6. A tank has the shape of a solid generated by revolving about the y axis the curve y = x* for r in [0, 2], and is full of water weighing 62.5 pounds per cubic foot. Set up the integral for the work W done in pumping water to a height I foot above the top of the rim, until there is a depth of 3 feet remaining in the tank. Do not evaluate the integral. Draw a picture of the situation